DEPRESSIE101. panic attacks - inside the brain TALKING about anxiety attacks. hanteer angstigheid beter snellers vir 'n paniekaanval

Size: px
Start display at page:

Download "DEPRESSIE101. panic attacks - inside the brain TALKING about anxiety attacks. hanteer angstigheid beter snellers vir 'n paniekaanval"

Transcription

1 9 A P R I L U I T G A W E 2 5 DEPRESSIE101 panic attacks - inside the brain TALKING about anxiety attacks hanteer angstigheid beter snellers vir 'n paniekaanval

2 PANIC ATTACKS: INSIDE THE BRAIN These panic attacks are believed to occur when the brain's normal mechanism for reacting to a threat - the so called fight or flight response - becomes faulty. Most people with panic disorder also feel anxious about the possibility of having other panic attacks and avoid situations in which they believe these attacks are likely to occur. Anxiety about another attack, and the avoidance it causes, makes the condition that much worse. P A N I E K A A N V A L L E D U U R T U S S E N 4 T O T 6 M I N U T E. H U L L E K A N H E R H A A L D E L I K E N O N V E R W A G S V O O R K O M A S D A A R G E E N E K S T E R N E B E D R E I G I N G I S N I E. SIMPTOME VAN PANIEKAANVALLE h a r t k l o p p i n g s l i g h o o f d i g n a a r h e i d p r i k k e l s i n d i e h a n d e k o r t a s e m b o r s p y n

3 SNELLERS VIR N PANIEKAANVAL buitengewone spanning bv. werksdruk, verlies van 'n familielid of goeie vriend na chirurgie, 'n ernstige ongeluk, siekte of geboorte sekere dwelmmiddels/stimulante D I E O N V O O R S P E L B A A R H E I D V A N P A N I E K A A N V A L L E I S E E N V A N D I E R E D E S W A A R O M H U L L E S O T R A U M A T I E S I S. Even though people who have panic attacks may not show outward signs of discomfort, the feelings they experience are so overwhelming and terrifying that they really believe that they are going to die, lose their minds or be totally humiliated. WHAT MIGHT HAPPEN? D O N O T A D D T O Y O U R P A N I C B Y T H I N K I N G A B O U T W H A T M I G H T H A P P E N. I F Y O U F I N D Y O U R S E L F A S K I N G, W H A T I F? T E L L Y O U R S E L F, S O W H A T!

4 Notice what is really happening to you as opposed to what you think might happen. Label your fear level from zero to ten and watch it fluctuate. Notice that it does not stay at a very high level for more than a few seconds. When you find yourself thinking about the fear, change your what if' R E M A I N F O C U S E D O N T H E P R E S E N T thinking. Focus on and carry out a simple and manageable task such as counting backwards from 100 in 3's or snapping a rubber band on your wrist. Notice that when you stop adding frightening thoughts to your fear, it begins to fade. When the fear comes, expect and accept it. Wait and give it time to pass without running away from it.

5 W E NKE OM SIMPTOME VAN ANGS BETER TE HANTEER Haal diep asem. Doen kardiovaskulêre oefening. Slaap genoeg. Steun op vriende. Doen iets wat jy geniet dit trek jou aandag af. Neem n blaaskans (5 minute) van die stresvolle aktiwiteit. Maak n lys van die stressors en skryf langsaan 1 of 2 oplossings daarvoor. Gaan vir terapie wanneer dit te moeilik is om die angs self te hanteer.

6 D I N K V O O R J Y I E T S S Ê W a t j y v i r i e m a n d s ê w a t b a i e a n g s t i g i s, k a n h o m ó f h e l p ó f n o g a n g s t i g e r m a a k. + - vlug Jy kan dit doen ten spyte van hoe jy voel. Ek is trots op jou. Wat het jy nou nodig? Haal diep en rustig asem. Fokus op dit wat nou gebeur. Dis nie die plek wat jou angstig maak nie, maar die gedagte in jou kop. Ek verstaan dat dit wat jy nou moet hanteer moeilik is, maar dis nie gevaarlik nie. Jy is baie dapper. Ontspan. Kalmeer. Moenie so angstig wees nie. Jy kan dit hanteer. Wat moet ons volgende doen? Moenie belaglik wees nie. Jy kan nie altyd van alles nie. Moenie n lafaard wees nie.

7 WHAT TO DO IF A FAMILY MEMBER HAS AN ANXIETY DISORDER Be predictable; do not surprise them. Let the person with the disorder set the pace for recovery. Find something positive in every experience. If the affected person is only able to go partway to a particular goal, such as a movie theatre or party, consider that an achievement rather than a failure. Do not enable avoidance: negotiate with the person with panic disorder to take one step forward when he or she wants to avoid something. Do not sacrifice your own life and build resentments. Remember that it is all right to be anxious yourself; it is natural for you to be concerned and even worried about the person with panic disorder. Be patient and accepting, but do not settle for the affected person being permanently disabled. You can downgrade the friendship by being less available and spending less time with the person. This can be difficult if the decision is one-sided, but it's important not to hurt or blame the other person. You have to think about how it will affect other mutual friendships. When you dump someone, there's no going back.

8 3 opvoerings van #puppet by tienerkamp in Bredasdorp Om en by 500 tieners het die opvoerings bygewoon. Dit is meer as kommerwekkend met hoeveel uitdagings hulle sit en met o.a. selfbesering en selfdoodplanne die seer probeer aanspreek. Hulle gebruik reeds antidepressante en kry sielkundige behandeling terwyl hulle eintlik 'n sorgvrye tienerlewe moet geniet. Uit die gesprekke na die tyd, blyk dit dat daar (baie) ouers is wat geen benul van depressie het nie. Dit is ons almal se verantwoordelikheid om openlik oor die siekte te praat, want almal word direk of indirek deur die siekte geraak. S p e a k u p!

9

Oplos van kwadratiese vergelykings: die vind van die vergelyking *

Oplos van kwadratiese vergelykings: die vind van die vergelyking * OpenStax-CNX module: m39143 1 Oplos van kwadratiese vergelykings: die vind van die vergelyking * Free High School Science Texts Project Based on Solving quadratic equations: nding the equation by Free

More information

UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS

UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS VAN/SURNAME: VOORNAME/FIRST NAMES: WTW 218 - CALCULUS SEMESTERTOETS /

More information

MATHEMATICS GRADE 10 TASK 1 INVESTIGATION Marks: 55

MATHEMATICS GRADE 10 TASK 1 INVESTIGATION Marks: 55 WISKUNDE GRAAD 10 TAAK 1 ONDERSOEK Punte: 55 MATHEMATICS GRADE 10 TASK 1 INVESTIGATION Marks: 55 INSTRUKSIES: 1. Die taak moet ingehandig word op 2 Maart 2015. 2. Beantwoord al die vrae. 3. Slegs vrae

More information

EXAMINATION / EKSAMEN 17 JUNE/JUNIE 2011 AT / OM 12:00 Q1 Q2 Q3 Q4 Q5 Q6 TOTAL

EXAMINATION / EKSAMEN 17 JUNE/JUNIE 2011 AT / OM 12:00 Q1 Q2 Q3 Q4 Q5 Q6 TOTAL UNIVERSITY OF PRETORIA / UNIVERSITEIT VAN PRETORIA FACULTY OF NATURAL AND AGRICULTURAL SCIENCES / FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS / DEPARTEMENT

More information

Eksterne eksaminator / External examiner: Dr. P Ntumba Interne eksaminatore / Internal examiners: Prof. I Broere, Prof. JE vd Berg, Dr.

Eksterne eksaminator / External examiner: Dr. P Ntumba Interne eksaminatore / Internal examiners: Prof. I Broere, Prof. JE vd Berg, Dr. VAN / SURNAME: UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE / FACULTY OF NATURAL AND AGRICULTURAL SCIENCES DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE / DEPARTMENT

More information

November 2005 TYD/TIME: 90 min PUNTE / MARKS: 35 VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER: HANDTEKENING/SIGNATURE:

November 2005 TYD/TIME: 90 min PUNTE / MARKS: 35 VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER: HANDTEKENING/SIGNATURE: UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 263 - NUMERIESE METODES / NUMERICAL METHODS EKSAMEN / EXAMINATION

More information

EXAMINATION / EKSAMEN 19 JUNE/JUNIE 2013 AT / OM 08:00

EXAMINATION / EKSAMEN 19 JUNE/JUNIE 2013 AT / OM 08:00 UNIVERSITY OF PRETORIA / UNIVERSITEIT VAN PRETORIA FACULTY OF NATURAL AND AGRICULTURAL SCIENCES / FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS / DEPARTEMENT

More information

UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS

UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 211 : LINEÊRE ALGEBRA / LINEAR ALGEBRA SEMESTERTOETS 1 / SEMESTER

More information

Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde

Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde GRADES 10 AND 11 GRADE 10 EN 11 30 July 3 Aug 2018 30 Julie 3 Aug 2018 TIME: 2 HOURS TYD: 2 URE 2012 OUTEURSREG

More information

3. How many gadgets must he make and sell to make a profit of R1000?

3. How many gadgets must he make and sell to make a profit of R1000? The Entrepreneur An entrepreneur starts a new business. He manufactures gadgets at a cost of 4x + 200 rands and then sells them for 5,50x rands, where x is the number of gadgets produced. Profit = Income

More information

UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA WTW263 NUMERIESE METODES WTW263 NUMERICAL METHODS EKSAMEN / EXAMINATION

UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA WTW263 NUMERIESE METODES WTW263 NUMERICAL METHODS EKSAMEN / EXAMINATION VAN/SURNAME : UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA VOORNAME/FIRST NAMES : WTW26 NUMERIESE METODES WTW26 NUMERICAL METHODS EKSAMEN / EXAMINATION STUDENTENOMMER/STUDENT NUMBER : HANDTEKENING/SIGNATURE

More information

SEMESTERTOETS 1 / SEMESTER TEST 1

SEMESTERTOETS 1 / SEMESTER TEST 1 UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE / FACULTY OF NATURAL AND AGRICULTURAL SCIENCES DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE DEPARTMENT OF MATHEMATICS

More information

JUNE 2005 TYD/TIME: 90 min PUNTE / MARKS: 50 VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER:

JUNE 2005 TYD/TIME: 90 min PUNTE / MARKS: 50 VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER: UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 63 - NUMERIESE METHODE / NUMERICAL METHODS EKSAMEN / EXAMINATION

More information

VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER: Totaal / Total:

VAN/SURNAME: VOORNAME/FIRST NAMES: STUDENTENOMMER/STUDENT NUMBER: Totaal / Total: UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPARTMENT OF MATHEMATICS AND APPLIED MATHEMATICS DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE WTW 15 - WISKUNDIGE MODELLERING / MATHEMATICAL MODELLING

More information

3. (d) None of these / Geen van hierdie

3. (d) None of these / Geen van hierdie SECTION A (24 marks) / AFDELING A (24 punte) The questions in Section A must be completed on SIDE 2 of the optical reader form in SOFT PENCIL. First circle your answers on this paper and then transfer

More information

Graad 12: Rye en Reekse

Graad 12: Rye en Reekse Graad 1: Rye en Reekse Opgestel vir LitNet deur Jeanne-Mari du Plessis In hierdie inligtingstuk gaan ons kyk na: 1. Rekenkundige rye. Meetkundige rye 3. Rekenkundige reekse 4. Meetkundige reekse 5. Sigma-notasie

More information

JAKKALS ROEP KURSUS JUNE 2016

JAKKALS ROEP KURSUS JUNE 2016 JAKKALS ROEP KURSUS JUNE 2016 Thanks guys for a great time, it was a blast, thanks kindly for the references also, I am glad I could teach you methods that work. We had such good response I never even

More information

a b

a b GRDE - FIRST ROUND QUESTIONS - 0 GRD - EERSTE RONDTE VRE - 0 QUESTION/ VRG s a decimal number, 3,% is equal to: s n desimale breuk, word 3,% geskryf as: 0,03 B 0,3 C 3, D 3, E 3 QUESTION/ VRG a63 67 73

More information

Kwadratiese rye - Graad 11

Kwadratiese rye - Graad 11 OpenStax-CNX module: m38240 1 Kwadratiese rye - Graad 11 Wiehan Agenbag Free High School Science Texts Project Based on Quadratic Sequences - Grade 11 by Rory Adams Free High School Science Texts Project

More information

[1a] 1, 3 [1b] 1, 0 [1c] 1, 3 en / and 1, 5 [1d] 1, 0 en / and 1, 0 [1e] Geen van hierdie / None of these

[1a] 1, 3 [1b] 1, 0 [1c] 1, 3 en / and 1, 5 [1d] 1, 0 en / and 1, 0 [1e] Geen van hierdie / None of these AFDELING A : MEERVOUDIGE KEUSE VRAE. 20 PUNTE Beantwoord vrae 1 tot 10 op die MERKLEESVORM se KANT 2. Indien kant 1 gebruik word sal dit nie nagesien word nie. Gebruik n sagte potlood. Jy mag nie verkeerde

More information

TW 214 TOETS 2 - VOORBEREIDING 2018 TEST 2 - PREPARATION

TW 214 TOETS 2 - VOORBEREIDING 2018 TEST 2 - PREPARATION TW 214 TOETS 2 - VOORBEREIDING 2018 TEST 2 - PREPARATION Die toets gaan oor die volgende onderwerpe: REFLEKSIES (GEKROMDE SPIEËLS) DETERMINANTE EIEWAARDES EN EIEWAARDE-ONTBINDING (A = SΛS 1 ) STELSELS

More information

Die Wonderwerke van Jesus

Die Wonderwerke van Jesus Bybel vir Kinders bied aan Die Wonderwerke van Jesus Geskryf deur: Edward Hughes Ge-illustreer: Byron Unger; Lazarus Aangepas deur: E. Frischbutter; Sarah S. Vertaal deur: Yvette Brits Vervaardig deur:

More information

LIMPOPO DEPARTEMENT VAN ONDERWYS LIMPOPO DEPARTMENT OF EDUCATION- LAERSKOOL WARMBAD

LIMPOPO DEPARTEMENT VAN ONDERWYS LIMPOPO DEPARTMENT OF EDUCATION- LAERSKOOL WARMBAD LIMPOPO DEPARTEMENT VAN ONDERWYS LIMPOPO DEPARTMENT OF EDUCATION- LAERSKOOL WARMBAD NSTRUKSIES: kryf jou naam en van op elke antwoordblad en jou nommer SUMMATIEWE ASSESSERING SUMMATIVE ASSESSMENT. Voltooi

More information

Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde

Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde GRADES 10 AND 11 GRADE 10 EN 11 31 July 5 Aug 2017 31 July 5 Aug 2017 TIME: 2 HOURS TYD: 2 URE 2012 OUTEURSREG

More information

Huiswerk Hoofstuk 22 Elektriese velde Homework Chapter 22 Electric fields

Huiswerk Hoofstuk 22 Elektriese velde Homework Chapter 22 Electric fields 1 Huiswerk Hoofstuk Elektriese velde Homework Chapter Electric fields 8 th / 8 ste HRW 1, 5, 7, 10 (0), 43, 45, 47, 53 9 th / 9 de HRW (9.6 10 18 N left, 30 N/C), 3, 8 (0), 11, 39, 41, 47, 49 Elektriese

More information

VAN / SURNAME: VOORNAME / FIRST NAMES: STUDENTENOMMER / STUDENT NUMBER: FOONNO. GEDURENDE EKSAMENPERIODE / PHONE NO. DURING EXAM PERIOD:

VAN / SURNAME: VOORNAME / FIRST NAMES: STUDENTENOMMER / STUDENT NUMBER: FOONNO. GEDURENDE EKSAMENPERIODE / PHONE NO. DURING EXAM PERIOD: UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 220 - ANALISE / ANALYSIS EKSAMEN / EXAM 12 November 2012 TYD/TIME:

More information

WTW 263 NUMERIESE METODES / NUMERICAL METHODS

WTW 263 NUMERIESE METODES / NUMERICAL METHODS UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE / FACULTY OF NATURAL AND AGRICULTURAL SCIENCES DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE DEPARTMENT OF MATHEMATICS

More information

CAMI EDUCATION. Graad 12 Vraestel I : Rekord eksamen Punte. Lees die volgende instruksies noukeurig deur voordat die vrae beantwoord word:

CAMI EDUCATION. Graad 12 Vraestel I : Rekord eksamen Punte. Lees die volgende instruksies noukeurig deur voordat die vrae beantwoord word: CAMI Education (Pty) Ltd Reg. No. 1996/017609/07 CAMI House Fir Drive, Northcliff P.O. Bo 160 CRESTA, 118 Tel: +7 (11) 476-00 Fa : 086 601 4400 web: www.camiweb.com e-mail: info@camiweb.com CAMI EDUCATION

More information

FAKULTEIT INGENIEURSWESE FACULTY OF ENGINEERING. Volpunte: Full marks: Instruksies / Instructions

FAKULTEIT INGENIEURSWESE FACULTY OF ENGINEERING. Volpunte: Full marks: Instruksies / Instructions FAKULTEIT INGENIEURSWESE FACULTY OF ENGINEERING Elektrotegniek 143 Electro-techniques 143 Tydsduur: Duration Eksaminatore: Prof H C Reader Prof J B de Swardt Mnr P-J Randewijk 1.5 h 1 Beantwoord al die

More information

Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde

Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde Department of Mathematics and Applied Mathematics Departement Wiskunde en Toegepaste Wiskunde GRADES 0 AND GRADE 0 EN AUGUST 206 AUGUSTUS 206 TIME: 2 HOURS TYD: 2 URE 202 OUTEURSREG VOORBEHOU, UNIVERSITEIT

More information

Funksies en Verwantskappe

Funksies en Verwantskappe UITDRUKKINGS Funksies en Verwantskappe n funksie is n verhouding tussen waardes Elke inset waarde het n spesifieke uitset waarde a) Bereken die -waardes (uitset) b) Bereken die -waarde (inset) Die vloeidiagram

More information

WTW 158 : CALCULUS EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Me/Ms R Möller

WTW 158 : CALCULUS EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Me/Ms R Möller Outeursreg voorbehou UNIVERSITEIT VAN PRETORIA Departement Wiskunde en Toegepaste Wiskunde Copyright reserved UNIVERSITY OF PRETORIA Department of Mathematics and Applied Maths Junie / June 005 Maksimum

More information

HOëRSKOOL STRAND WISKUNDE NOVEMBER 2016 GRAAD 11 VRAESTEL 2

HOëRSKOOL STRAND WISKUNDE NOVEMBER 2016 GRAAD 11 VRAESTEL 2 HOëRSKOOL STRAND WISKUNDE NOVEMBER 2016 TOTAAL: 150 Eksaminator: P. Olivier GRAAD 11 VRAESTEL 2 TYD: 3UUR Moderator: E. Loedolff INSTRUKSIES: 1. Hierdie vraestel bestaan uit 8 bladsye en n DIAGRAMBLAD

More information

Examination Copyright reserved. Eksamen Kopiereg voorbehou. Module EBN122 Elektrisiteit en Elektronika 13 November 2009

Examination Copyright reserved. Eksamen Kopiereg voorbehou. Module EBN122 Elektrisiteit en Elektronika 13 November 2009 Departement Elektriese, Elektroniese en Rekenaar-Ingenieurswese Eksamen Kopiereg voorbehou Module EBN Elektrisiteit en Elektronika 3 November 009 Department of Electrical, Electronic and Computer Engineering

More information

KOPIEREG VOORBEHOU / COPYRIGHT RESERVED

KOPIEREG VOORBEHOU / COPYRIGHT RESERVED KOPIEREG VOORBEHOU / COPYRIGHT RESERVED UNIVERSITY OF PRETORIA / UNIVERSITEIT VAN PRETORIA DEPARTMENT OF PLANT PRODUCTION AND SOIL SCIENCE / DEPARTEMENT PLANTPRODUKSIE EN GRONDKUNDE GKD 320 SOIL CHEMISTRY

More information

y =3x2 y 2 x 5 siny x y =6xy2 5x 4 siny

y =3x2 y 2 x 5 siny x y =6xy2 5x 4 siny Skeibare PDVs/ Separable PDEs SLIDE 1/9 Parsiële afgeleides f ( x, y) Partial derivatives y f y x f x Voorbeeld/Example:f(x,y)=x 2 y 3 +x 5 cosy f x =2xy3 +5x 4 cosy; f y =3x2 y 2 x 5 siny 2 f x 2=2y3

More information

WTW 158 : CALCULUS EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Prof NFJ van Rensburg

WTW 158 : CALCULUS EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Prof NFJ van Rensburg Outeursreg voorbehou UNIVERSITEIT VAN PRETORIA Departement Wiskunde en Toegepaste Wiskunde Copyright reserved UNIVERSITY OF PRETORIA Department of Mathematics and Applied Maths 4 Junie / June 00 Punte

More information

VAN / SURNAME: VOORNAME / FIRST NAMES: STUDENTENOMMER / STUDENT NUMBER: HANDTEKENING / SIGNATURE: TELEFOON / TELEPHONE:

VAN / SURNAME: VOORNAME / FIRST NAMES: STUDENTENOMMER / STUDENT NUMBER: HANDTEKENING / SIGNATURE: TELEFOON / TELEPHONE: UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE / FACULTY OF NATURAL AND AGRICULTURAL SCIENCES DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE DEPARTMENT OF MATHEMATICS

More information

GRADE 11 - FINAL ROUND QUESTIONS GRAAD 11 - FINALE RONDTE VRAE

GRADE 11 - FINAL ROUND QUESTIONS GRAAD 11 - FINALE RONDTE VRAE GRE - FINL ROUN QUESTIONS - 9 GR - FINLE RONTE VRE - 9 QUESTION/ VRG 6 Which of the following is not a factor of x? 6 Watter een van die volgende is nie 'n faktor van x nie? x + x x + x + x+ E x QUESTION/

More information

Government Gazette Staatskoerant

Government Gazette Staatskoerant Government Gazette Staatskoerant REPUBLIC OF SOUTH AFRICA REPUBLIEK VAN SUID AFRIKA Regulation Gazette No. 10177 Regulasiekoerant Vol. 639 5 September September 2018 No. 41891 N.B. The Government Printing

More information

The Ultimate Guide to Staying Sober for the Holidays

The Ultimate Guide to Staying Sober for the Holidays The Ultimate Guide to Staying Sober for the Holidays c r e a t e d e x c l u s i v e l y f o r : contents 3 i n t r o d u c t i o n 5 9 4 T i p s t o H e l p Y o u N a v i g a t e A n y H o l i d a y P

More information

EKSAMEN / EXAMINATION Q1 Q2 Q3 Q4 Q5 TOTAL. 2. No pencil work or any work in red ink will be marked.

EKSAMEN / EXAMINATION Q1 Q2 Q3 Q4 Q5 TOTAL. 2. No pencil work or any work in red ink will be marked. 0 UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE / FACULTY OF NATURAL AND AGRICULTURAL SCIENCES DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE DEPARTMENT OF MATHEMATICS

More information

Eksperiment ROT: Rotation Kinematics. Experiment ROT: Rotation Kinematics

Eksperiment ROT: Rotation Kinematics. Experiment ROT: Rotation Kinematics Experiment ROT: Rotation Kinematics Introduction: In this experiment you will investigate the rotation of a disc slowed down by friction. Eksperiment ROT: Rotation Kinematics Inleiding: In hierdie eksperiment

More information

Graad 4 NWT-afbakening 15 November Afrika, Noord-Amerika, Suid-Amerika, Asië, Europa, Australië, Antarktika

Graad 4 NWT-afbakening 15 November Afrika, Noord-Amerika, Suid-Amerika, Asië, Europa, Australië, Antarktika Graad 4 NWT-afbakening 15 November 2018 1. Noem die 3 hoofkenmerke van die Aarde. Land, water en lug 2. Wat is n kontinent? Groot areas land op die oppervlak van die Aarde. 3. Noem die 7 vastelande. Afrika,

More information

Elektriese Stroomvloei. n Elektriese stroom bestaan uit die beweging van elektrone in n metaalgeleier.

Elektriese Stroomvloei. n Elektriese stroom bestaan uit die beweging van elektrone in n metaalgeleier. Elektriese Stroomvloei n Elektriese stroom bestaan uit die beweging van elektrone in n metaalgeleier. As jy nou die kraan oopdraai, vloei die water aan die onder kant uit. Dit gebeur omdat daar n druk-verskil

More information

NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P3 PREPARATORY EXAMINATION 2008 NOVEMBER 2008

NATIONAL SENIOR CERTIFICATE GRADE 10 MATHEMATICS P3 PREPARATORY EXAMINATION 2008 NOVEMBER 2008 NATIONAL SENIOR CERTIFICATE GRADE 0 MATHEMATICS P3 PREPARATORY EXAMINATION 008 NOVEMBER 008 MARKS: 00 TIME: hours This question paper consists of pages and 4 diagram sheets. Mathematics/P DoE/Preparatory

More information

WTW 161 : ALGEBRA. EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Dr F Theron

WTW 161 : ALGEBRA. EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Dr F Theron Outeursreg voorbehou UNIVERSITEIT VAN PRETORIA Departement Wiskunde en Toegepaste Wiskunde Copyright reserved UNIVERSITY OF PRETORIA Department of Mathematics and Applied Maths November 006 Maks Punte

More information

UNIVERSITY OF PRETORIA / UNIVERSITEIT VAN PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS

UNIVERSITY OF PRETORIA / UNIVERSITEIT VAN PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS UNIVERSITY OF PRETORIA / UNIVERSITEIT VAN PRETORIA DEPT WISKUNDE EN TOEGEPASTE WISKUNDE DEPT OF MATHEMATICS AND APPLIED MATHEMATICS WTW 285 DISCRETE STRUCTURES DISKRETE STRUKTURE EXAMINATION EKSAMEN Internal

More information

Hoofstuk 29 Magnetiese Velde a.g.v Elektriese Strome

Hoofstuk 29 Magnetiese Velde a.g.v Elektriese Strome Hoofstuk 29 Magnetiese Velde a.g.v Elektriese Strome Nadat hierdie hoofstuk afghandel is, moet die student: Magnetiese veld as gevolg van n stroom kan bereken; Die regterhandreëls kan neerskryf en toepas;

More information

Grade 11: Term Comprehension= Reading text and cartoon (30) Summary in paragraph form (10) Advert (10) Cartoon (10) LANGUAGE IN ACTION (10)

Grade 11: Term Comprehension= Reading text and cartoon (30) Summary in paragraph form (10) Advert (10) Cartoon (10) LANGUAGE IN ACTION (10) Grade 11: Term 4 2017 You can do it! Yes you can. Subject English November Exam 2017 Paper 1 (70) 2 hours What to Study Comprehension= Reading text and cartoon (30) Summary in paragraph form (10) Advert

More information

SEEKING SPATIAL JUSTICE

SEEKING SPATIAL JUSTICE SEEKING SPATIAL JUSTICE Empowering the everyday through an architecture that integrates the spatial and social realms ILHAAM TAYOB Submitted in partial fulfilment of the requirements for the degree Master

More information

Punte: Intern Marks: Internal WTW 168 : CALCULUS. EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Me / Ms R Möller

Punte: Intern Marks: Internal WTW 168 : CALCULUS. EKSAMEN / EXAMINATION Eksterne eksaminator / External examiner: Me / Ms R Möller Outeursreg voorbehou UNIVERSITEIT VAN PRETORIA Departement Wiskunde en Toegepaste Wiskunde Copright reserved UNIVERSITY OF PRETORIA Department of Mathematics and Applied Maths November 005 Punte / Marks:35

More information

Generalised density function estimation using moments and the characteristic function

Generalised density function estimation using moments and the characteristic function Generalised density function estimation using moments and the characteristic function Gerhard Esterhuizen Thesis presented in partial fulfilment of the requirements for the degree of Master of Science

More information

Solving with Absolute Value

Solving with Absolute Value Solving with Absolute Value Who knew two little lines could cause so much trouble? Ask someone to solve the equation 3x 2 = 7 and they ll say No problem! Add just two little lines, and ask them to solve

More information

NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT

NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT - NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 10 PHYSICAL SCIENCES: CHEMISTRY (P2) FISIESE WETENSKAPPE: CHEMIE (V2) NOVEMBER 2016 MEMORANDUM MARKS/PUNTE: 150 This memorandum consists

More information

SPIRITUAL GIFTS. ( ) ( ) 1. Would you describe yourself as an effective public speaker?

SPIRITUAL GIFTS. ( ) ( ) 1. Would you describe yourself as an effective public speaker? SPIRITUAL GIFTS QUESTIONNAIRE: SPIRITUAL GIFTS ( ) ( ) 1. Would you describe yourself as an effective public speaker? ( ) ( ) 2. Do you find it easy and enjoyable to spend time in intense study and research

More information

THE EFFECT OF HABITAT CHANGE ON THE STRUCTURE OF DUNG BEETLE ASSEMBLAGES IN THE NORTH-EASTERN FREE STATE: A COMPARISON OF CONSERVED AND FARMED LAND

THE EFFECT OF HABITAT CHANGE ON THE STRUCTURE OF DUNG BEETLE ASSEMBLAGES IN THE NORTH-EASTERN FREE STATE: A COMPARISON OF CONSERVED AND FARMED LAND THE EFFECT OF HABITAT CHANGE ON THE STRUCTURE OF DUNG BEETLE ASSEMBLAGES IN THE NORTH-EASTERN FREE STATE: A COMPARISON OF CONSERVED AND FARMED LAND by Astrid Jankielsohn Submitted in partial fulfilment

More information

CMY 117 SEMESTERTOETS 2 / SEMESTER TEST 2

CMY 117 SEMESTERTOETS 2 / SEMESTER TEST 2 DEPARTEMENT CHEMIE DEPARTMENT OF CHEMISTRY CMY 117 SEMESTERTOETS 2 / SEMESTER TEST 2 DATUM / DATE: 13 May / Mei 2013 PUNTE / MARKS: 100 TYD / TIME: 3 ure / hours Afdeling A / Section A: 40 Afdeling B /

More information

Question 1. The van der Waals equation of state is given by the equation: a

Question 1. The van der Waals equation of state is given by the equation: a Kopiereg voorbehou Universiteit van retoria University of retoria Copyright reserved Departement Chemiese Ingenieurswese Department of Chemical Engineering CHEMICAL ENGINEERING CIR EKSAMEN Volpunte: Tydsduur:

More information

Funksies en grafieke - Graad 10 *

Funksies en grafieke - Graad 10 * OpenStax-CNX module: m38475 1 Funksies en grafieke - Graad 10 * Thinus Ras Free High School Science Texts Project Based on Functions and graphs - Grade 10 by Free High School Science Texts Project Heather

More information

GRADE 11 - FINAL ROUND QUESTIONS GRAAD 11 - FINALE RONDTE VRAE

GRADE 11 - FINAL ROUND QUESTIONS GRAAD 11 - FINALE RONDTE VRAE GR 11 - FINL ROUN QUSTIONS - 007 GR 11 - FINL RONT VR - 007 1 QUSTION/ VRG 1 Three persons, Mr. X, Ms. Y, and Mr. Z, went fishing. Mr. X caught NO fish, Ms. Y caught five fish, and Mr. Z caught three fish

More information

Algebra van die vier basiese operasies

Algebra van die vier basiese operasies OpenStax-CNX module: m31388 1 Algebra van die vier basiese operasies Siyavula Uploaders This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0 1 WISKUNDE

More information

1.8 INTRODUCTION TO SOLVING LINEAR EQUATIONS

1.8 INTRODUCTION TO SOLVING LINEAR EQUATIONS 1.8 INTRODUCTION TO SOLVING LINEAR EQUATIONS Combining Like Terms In algebra we often deal with terms such as 4y or 7x. What do we mean by terms? A term is a number, a variable, or a product of a number

More information

Vibration Covariate Regression Analysis of Failure Time Data with the Proportional Hazards Model

Vibration Covariate Regression Analysis of Failure Time Data with the Proportional Hazards Model Vibration Covariate Regression Analysis of Failure Time Data with the Proportional Hazards Model by Pieter-J an Vlok Submitted as partial fulfillment of the requirements for tbe degree Master in Engineering

More information

GRADE 9 - FINAL ROUND QUESTIONS GRAAD 9 - FINALE RONDTE VRAE

GRADE 9 - FINAL ROUND QUESTIONS GRAAD 9 - FINALE RONDTE VRAE GRADE 9 - FINAL ROUND QUESTIONS - 009 GRAAD 9 - FINALE RONDTE VRAE - 009 QUESTION/ VRAAG Find the final value if an amount of R7500 is increased by 5% and then decreased by 0%. Bepaal die finale waarde

More information

When Your Head is Hurt

When Your Head is Hurt INVISIBLE INJURIES When Your Head is Hurt 1855 E. Dublin Granville Road, Suite 301 Columbus, OH 43229 800-934-9840 www.odvn.org www.odvncares.com This booklet was produced by the Ohio Domestic Violence

More information

NATIONAL SENIOR CERTIFICATE GRADE 11

NATIONAL SENIOR CERTIFICATE GRADE 11 NATIONAL SENIOR CERTIFICATE GRADE 11 PHYSICAL SCIENCES: PHYSICS (P1) NOVEMBER MEMORANDUM MARKS: 150 This memorandum consists of 12 pages. Physical Science P1/Memo 2 LimpopoDoE/November QUESTION 1 / VRAAG

More information

LAERSKOOL EVERSDAL PRIMARY SCHOOL

LAERSKOOL EVERSDAL PRIMARY SCHOOL LAERSKOOL EVERSDAL PRIMARY SCHOOL Laerskool streef daarna om n positiewe omgewing te skep waarin ons leerders sport kan speel. Sportmanskap is hoog op die skool se prioriteitslys. We observe fair play

More information

UNIVERSITY OF PRETORIA

UNIVERSITY OF PRETORIA UNIVERSITY OF PRETORIA FACULTY OF ENGINEERING, BUILT ENVIRONMENT AND INFORMATION TECHNOLOGY Student Number: Name: Surname: Email: Contact Number: Signature: Subject: MPR212: Programming and Date Processing

More information

GRADE/GRAAD 11 NOVEMBER 2018 TECHNICAL SCIENCES P1 TEGNIESE WETENSKAPPE V1 MARKING GUIDELINE/NASIENRIGLYN

GRADE/GRAAD 11 NOVEMBER 2018 TECHNICAL SCIENCES P1 TEGNIESE WETENSKAPPE V1 MARKING GUIDELINE/NASIENRIGLYN NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 11 NOVEMBER 2018 TECHNICAL SCIENCES P1 TEGNIESE WETENSKAPPE V1 MARKING GUIDELINE/NASIENRIGLYN MARKS/PUNTE: 150 This marking guideline

More information

soos gemeet in Fase C and D groeitoetse. Selekteer bulle

soos gemeet in Fase C and D groeitoetse. Selekteer bulle B E E F M A S T E R 2 0 1 2 51 52 B E E F M A S T E R 2 0 1 2 EFFICIENCY - Feed conversion ratio (FCR) This EBV is an indication of the genetic ability of the animal to efficiently convert feed into body

More information

Judging a person does not define who they are; it defines who you are.

Judging a person does not define who they are; it defines who you are. Judging a person does not define who they are; it defines who you are. Image: Freedigitalphotos.net ID-100250397 A little more kindness and a little less judgment. Image: Freedigitalphotos.net ID-100250397

More information

A story about anxiety and mindfulness. For a workbook on Mindfulness to go with this story. Please click this link BEE-LINDA S MINDFULNESS WORKBOOK

A story about anxiety and mindfulness. For a workbook on Mindfulness to go with this story. Please click this link BEE-LINDA S MINDFULNESS WORKBOOK A story about anxiety and mindfulness For a workbook on Mindfulness to go with this story. Please click this link BEE-LINDA S MINDFULNESS WORKBOOK ELSA Support 2017 1 A story about anxiety and mindfulness

More information

Going to a Show AT THE. Milwaukee Youth Arts Center

Going to a Show AT THE. Milwaukee Youth Arts Center Going to a Show AT THE Milwaukee Youth Arts Center I am going to see a First Stage show at the Milwaukee Youth Arts Center. I am going to see the show with 2 Watching a play is like watching TV or a movie,

More information

GRADE/GRAAD 11 NOVEMBER 2018

GRADE/GRAAD 11 NOVEMBER 2018 NATIONAL SENIOR CERTIFICATE/ NASIONALE SENIOR SERTIFIKAAT GRADE/GRAAD 11 NOVEMBER 2018 TECHNICAL SCIENCES P2/TEGNIESE WETENSKAPPE V2 MARKING GUIDELINE/NASIENRIGLYN MARKS/PUNTE: 150 This marking guideline

More information

More with Special Relativity

More with Special Relativity 1 More with Special Relativity PHYS 1301 Prof. T.E. Coan version: 4 Aug 99 Introduction: This lab will continue the illustration of important relativistic effects. We will solve two important paradoxes

More information

GRADE 9 - FIRST ROUND QUESTIONS GRAAD 9 - EERSTE RONDTE VRAE

GRADE 9 - FIRST ROUND QUESTIONS GRAAD 9 - EERSTE RONDTE VRAE GRADE 9 - FIRST ROUND QUESTIONS - 009 GRAAD 9 - EERSTE RONDTE VRAE - 009 QUESTION/ VRAAG On Saturday, a store gives a discount of 0% on a computer valued at R9 000. On Monday, the store decides to add

More information

MTX221. Session 36 ENTROPY (CONTROL MASS) Sessie 36 ENTROPIE (KONTROLE MASSA) Dr. Jaco Dirker. These slides also appear on Click-UP

MTX221. Session 36 ENTROPY (CONTROL MASS) Sessie 36 ENTROPIE (KONTROLE MASSA) Dr. Jaco Dirker. These slides also appear on Click-UP Ses.36- MX Sessie 36 ENROIE (KONROLE MASSA) Session 36 ENROY (CONROL MASS) Dr. Jaco Dirker hese slides also appear on Click-U Hierdie skyfies verskyn ook op Click-U 8 th edition / 8e uitgawe 6.7 6.0 Ses.36-

More information

ACTIVITY 2: Motion and Energy

ACTIVITY 2: Motion and Energy Developing Ideas ACTIVITY 2: Motion and Purpose We use the idea of energy in many ways in everyday life. For example, there is sometimes talk of an energy crisis when fuel supplies run low; people eat

More information

Semester Test 1. Semestertoets 1. Module EIR221 Elektriese Ingenieurswese 20 Augustus Module EIR221 Electrical Engineering 20 August 2010

Semester Test 1. Semestertoets 1. Module EIR221 Elektriese Ingenieurswese 20 Augustus Module EIR221 Electrical Engineering 20 August 2010 Departement Elektriese, Elektroniese en Rekenaar-Ingenieurswese Semestertoets 1 Kopiereg voorbehou Module EIR221 Elektriese Ingenieurswese 20 Augustus 2010 Department of Electrical, Electronic and Computer

More information

GRAAD 12 SEPTEMBER 2012 WISKUNDE V3 MEMORANDUM

GRAAD 12 SEPTEMBER 2012 WISKUNDE V3 MEMORANDUM Province of the EASTERN CAPE EDUCATION NASIONALE SENIOR SERTIFIKAAT GRAAD SEPTEMBER 0 WISKUNDE V3 MEMORANDUM PUNTE: 00 Hierdie memorandum bestaan uit 3 bladsye. WISKUNDE V3 (SEPTEMBER 0) VRAAG. ; 4; 0;

More information

CHAPTER 9 THE ARROW OF TIME

CHAPTER 9 THE ARROW OF TIME CHAPTER 9 THE ARROW OF TIME In previous chapters we have seen how our views of the nature of time have changed over the years. Up to the beginning of this century people believed in an absolute time. That

More information

CHM 215 Eksamen / Examination

CHM 215 Eksamen / Examination CHM 215 Eksamen / Examination Fakulteit Natuur- & Landbouwetenskappe Departement Chemie 09/06/2009 Tyd / Time: 150 min Punte / Marks: 100 (+2) INTERNE EKSAMINATRE / INTERNAL EXAMINERS: EKSTERNE EKSAMINATRE

More information

17 Teorie van Berekening

17 Teorie van Berekening 17 Teorie van Berekening 17.1 Foundations of Computer Science Cengage Learning Doel Nadat hierdie hoofstuk bestudeer is sal jy kan: Beskryf die Simple Language programmeertaal en definiëer basiese stellings.

More information

VAN / SURNAME: VOORNAME / FIRST NAMES: STUDENTENOMMER / STUDENT NUMBER: HANDTEKENING / SIGNATURE: SEL NR / CELL NO:

VAN / SURNAME: VOORNAME / FIRST NAMES: STUDENTENOMMER / STUDENT NUMBER: HANDTEKENING / SIGNATURE: SEL NR / CELL NO: UNIVERSITEIT VAN PRETORIA / UNIVERSITY OF PRETORIA FAKULTEIT NATUUR- EN LANDBOUWETENSKAPPE / FACULTY OF NATURAL AND AGRICULTURAL SCIENCES DEPARTEMENT WISKUNDE EN TOEGEPASTE WISKUNDE / DEPARTMENT OF MATHEMATICS

More information

Government Gazette Staatskoerant

Government Gazette Staatskoerant Government Gazette Staatskoerant REPUBLIC OF SOUTH AFRICA REPUBLIEK VAN SUID AFRIKA Regulation Gazette No. 10177 Regulasiekoerant Vol. 642 14 December Desember 2018 No. 42116 N.B. The Government Printing

More information

Padlangs Terugvoer #6

Padlangs Terugvoer #6 Padlangs Terugvoer #6 JANUARIE DESEMBER 2011 TOTAAL: 937 + 376 = 1313 Ek kry geen oordenking nie. Moet ek weer inteken? Hierdie is my lewensbrood - ek kan nie daarsonder! Baie dankie SO "Welkom terug in

More information

GRADE 12 LEARNER SUPPORT PROGRAMME

GRADE 12 LEARNER SUPPORT PROGRAMME Province of the EASTERN CAPE EDUCATION Steve Vukile Tshwete Education Complex Zone 6 Zwelitsha 5608 Private Bag X003 Bhisho 5605 REPUBLIC OF SOUTH AFRICA CHIEF DIRECTORATE CURRICULUM MANAGEMENT GRADE 1

More information

SCATTERING BY A STRIP IN A HOMOGENEOUS MEDIUM

SCATTERING BY A STRIP IN A HOMOGENEOUS MEDIUM SCATTERING BY A STRIP IN A HOMOGENEOUS MEDIUM Jan Thorbecke 18 January 1991 Delft University of Technology Faculty of Mining and Petroleum Engineering Section Applied Geophysics Delft The Netherlands Title

More information

Please bring the task to your first physics lesson and hand it to the teacher.

Please bring the task to your first physics lesson and hand it to the teacher. Pre-enrolment task for 2014 entry Physics Why do I need to complete a pre-enrolment task? This bridging pack serves a number of purposes. It gives you practice in some of the important skills you will

More information

OpenStax-CNX module: m Meetkunde: Meting * basis loodregte hoogte. Figure 1. Figure 2

OpenStax-CNX module: m Meetkunde: Meting * basis loodregte hoogte. Figure 1. Figure 2 OpenStax-CNX module: m39681 1 Meetkunde: Meting * Free High School Science Texts Project This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0 1 Meting 1.1

More information

FAKULTEIT INGENIEURSWESE FACULTY OF ENGINEERING

FAKULTEIT INGENIEURSWESE FACULTY OF ENGINEERING FAKULTEIT INGENIEURSWESE FACULTY OF ENGINEERING Vakkursus / Subject course: Toegepaste Wiskunde B264 Applied Mathematics B264 Tweede Eksamen: Desember 2010 Second Examination: December 2010 Volpunte /

More information

Jurassic Park Study Guide Pages

Jurassic Park Study Guide Pages Jurassic Park Study Guide Pages 154 220 Stegosaur 1-5. On the tour through the park, Ellie s group stopped to investigate a stegosaurus. Describe the stegosaurus using at least 5 details:,,,,. 6-10. Ellie

More information

DR. J ROSSOUW Pro In9

DR. J ROSSOUW Pro In9 THE PROBABILITY OF OCCURRENCE AND THE INTENSITY OF TROPICAL CYCLONES ALONG THE SOUTHERN AFRICAN EAST COAST by COSUS ROSSOUW Thesis prepared as part of the requirements For the degree Master in 5ngineering

More information

Objective: Recognize halves within a circular clock face and tell time to the half hour.

Objective: Recognize halves within a circular clock face and tell time to the half hour. Lesson 13 1 5 Lesson 13 Objective: Recognize halves within a circular clock face and tell time to the half Suggested Lesson Structure Fluency Practice Application Problem Concept Development Student Debrief

More information

Lecture 7: Chemical Equilbria--a bit more detail and some additional kinds of problems.

Lecture 7: Chemical Equilbria--a bit more detail and some additional kinds of problems. Lecture 7: Chemical Equilbria--a bit more detail and some additional kinds of problems. Lecture Overview: We get even more involved in the details by equilibria by relating G to K relating K c to K p comparing

More information

NASIONALE SENIOR SERTIFIKAAT GRAAD 10

NASIONALE SENIOR SERTIFIKAAT GRAAD 10 NASIONALE SENIOR SERTIFIKAAT GRAAD 10 WISKUNDE V MODEL 01 MEMORANDUM PUNTE: 100 Hierdie memorandum bestaan uit 10 bladsye. Wiskunde/V DBE/01 LET WEL: Indien 'n kandidaat 'n vraag TWEEKEER beantwoord, sien

More information

Boyle s Law and Charles Law Activity

Boyle s Law and Charles Law Activity Boyle s Law and Charles Law Activity Introduction: This simulation helps you to help you fully understand 2 Gas Laws: Boyle s Law and Charles Law. These laws are very simple to understand, but are also

More information

Advanced. Student Book

Advanced. Student Book Advanced Student Book Day 1 - I choose to believe WHO CHRIST SON GOD PETER VINE JESUS BELIEVE CLUB FARM HORSE ROOSTER SOLDIER SERGEANT W H A T D P M V N S G P V I O E R I O U O S E R G E A N T S S O J

More information

Magical Self Defense Workbook

Magical Self Defense Workbook Magical Self Defense Workbook Workbook Exercises 1. Direct Flowing Fire 2. Grounding Out Excess Fire Energy 3. Rooting 4. Rooting and Grounding in Crowd Situations 5. Hand Lightning 6. Lightning Rods 7.

More information