GARDEN TE KRACE. - t II ""'I. - -H--Hl f:a UUltl. W ING -J f=+- .LK a!c ""' rien & [ i-,g_ ll\v_ H+---,!ROOM "' S.Ox3.5 rn 3.3x3.

Size: px
Start display at page:

Download "GARDEN TE KRACE. - t II ""'I. - -H--Hl f:a UUltl. W ING -J f=+- .LK a!c ""' rien & [ i-,g_ ll\v_ H+---,!ROOM "' S.Ox3.5 rn 3.3x3."

Transcription

1

2 3 BEDROOM TYPE A UNT TH4M1 THS Ml TH6 Ml TH Ml TH8M1 UNT TH5M2 TH6M3 THM2 THM3 TH8M2 TH8M3 TH4 E SQM SOFT SQM SOFT TH4M1 TH4M1 TH4E L 4 Unit Cluste THS E THS Ml THS M2 THS Ml THS E TH6E TH6M1 TH6M3 TH6M3 TH6M1 TH6E GARDEN TE KRACE t "" HHl f:a UUltl == W NG J f=+.lka!c "" ien & [ i,g_ ll\v_ H+,!ROOM " S.Ox3.5 n 3.3x3.5 m """"" U ;;;;,== 11 1ol Ed J t < 0, p >: \ 1 l tildryl j [21 PUiiiF ROOM X BALCONY BEDO 1 c :c [C 3.1K3. m lj J \ DB \ eo ATHROO... _j_ BEDROOM 2\ 3.1X3.1 m ".,_ \ L,.J,,, 10 l,\ MASTER BEDRboM 3t1X3h mh.l \ :::, ::. f l ii l \ \. 1, ii \. \. G y MASTE BATHRO1,,, :a,,.,,..., \, 11 1 "" F==,,, \ V.. BALCONY tol l \, L L 5 Unit Cluste 6 Unit Cluste TH6 E TH6M1 TH6M3 TH6M3 TH6 M2 TH6M1 TH6E TH6 E TH6M1 TH6M2 TH6M3 TH6M3 TH6M2 TH6M1 TH6E L L Unit Cluste 8 Unit Cluste \==1 lij,..11 l l FLOOR PLAN 1. All dimensions ae in impeial and metic, and measued fom finish to finish excluding constuction toleances. 2. All mateials, dimensions, and dawings ae appoximate only. 3. nfomation is subject to change without notice, at developes absolute discetion. 4. Actual aea may vay fom the stated aea. 5. Dawings not to scale. 6. All images used ae fo illustative puposes only and do not epesent the actual size, featues, specifications, fittings, and funishings.. The develope eseves the ight to make evisions alteations, at its absolute discetion, without any liability whatsoeve.

3 4 BEDROOM TYPE A TH4E THS E TH6E TH E TH8 E TH4 E THS E THS Ml THS M2 THS Ml THS E L! 5 Unit Cluste UNT,, TH4 M 1 TH4 M 1 TH4E L 4 Unit Cluste SQM SQFT TH6E TH6Ml TH6M3 TH6M3 TH6Ml TH6E L! 6 Unit Cluste \ Q M BATH BLC}NY + L a, \ A ".1 1, MASTER BEDROOM ; 3.2x3.5 m 1 W 111 " t t t t Ct lie SECOND TH M LU T )>l l"j 1111 i \\ T \ \ \.T Ff BEDROOM 3 3.1X3.1 m lf;_\i\ 1,, J \ \ \ + f ls BEDR<JOM 2 il t.h,,1 : t t T l tnll1 lea _31x3.1 m l ) TH E TH M 1 TH M3 TH M3 TH M2 TH Ml THE TH8 E TH8 M 1 TH8 M2 TH8 M3 TH8M3 TH8 M2 TH8 M 1 THBE l i< l J L Unit Cluste L 8 Unit Cluste j FLOOR PLAN 1. All dimensions ae in impeial and metic, and measued fom finish to finish excluding constuction toleances. 2. All mateials, dimensions, and dawings ae appoximate only. 3. nfomation is subject to change without notice, at developes absolute discetion. 4. Actual aea may vay fom the stated aea. 5. Dawings not to scale. 6. All images used ae fo illustative puposes only and do not epesent the actual size, featues, specifications, fittings, and funishings.. The develope eseves the ight to make evisions alteations, at its absolute discetion, without any liability whatsoeve.

4 3 BEDROOM TYPE B UNT GARDEN TH4M1 THS Ml TH6 Ml TH Ml TH8M1 UNT TH4M2 THS M2 TH6 M2 TH M2 TH8M2 TH4 E SQM SOFT SQM SOFT TH4M1 TH4M1 TH4E L 4 Unit Cluste " W NG!ROOM 3.3x3.5 m ;;;;,== [2)1 mp 0 cv TE KRJlCE )t \1 l >: tildryl j ; 0 PUiiiF ROOM W BEDROOM 1 3.1X3.1 m f _c \ M1,STER BEDOOM, :.1X3.1 n._.l_ [C l \ \..,, \. ) _G ti;11maste ; i] \, i DB+ 1 BATHRO... []JT====1... i ++++\,_H l.lll==i+1 = \ \ \ \ \ \ f " TE X THS E THS Ml THS M2 THS Ml THS E TH6 E TH6 Ml TH6 M2 TH6 M2 TH6 Ml TH6E t t 1 1 OUTDOOR FOYER L L 5 Unit Cluste 6 Unit Cluste TH E TH Ml TH M2TH M2TH M2 TH Ml TH E TH8 E TH8 Ml TH8 M2TH8 M2TH8 M2TH8 M2 TH8 Ml TH8 E.., L Unit Cluste L 8 Unit Cluste FLOOR PLAN 1. All dimensions ae in impeial and metic, and measued fom finish to finish excluding constuction toleances. 2. All mateials, dimensions, and dawings ae appoximate only. 3. nfomation is subject to change without notice, at developes absolute discetion. 4. Actual aea may vay fom the stated aea. 5. Dawings not to scale. 6. All images used ae fo illustative puposes only and do not epesent the actual size, featues, specifications, fittings, and funishings.. The develope eseves the ight to make evisions alteations, at its absolute discetion, without any liability whatsoeve.

5 4 BEDROOM TYPE B THS E THSMl THS M2 THS Ml THSE TH6E TH6 Ml TH6 M2 TH6 M2 TH6 Ml UNT TH4 E THS E TH6 E SQM SQFT TH E TH8 E 1 TH4 E TH4 M 1 TH4 M 1 TH4E L 4 Unit Cluste L L 5 Unit Cluste 6 Unit Cluste.. TH6E. " \ Q OUTDOOR FOYER, +.. " l.! + + MAS M ASllERBBDR OM l f BA 3.2x3.5 m 11 n 111, A,,1.,1 1 bt. 1, J 1: +f iel + 11 _ f, e,, t""\ l1j:1 "" >1 :\, \ l llt 1, "l + + t J V:, + jl J, ( t 111\11H " n ) ll C 0M.1 BEDROOM 3t c+, ",,. n,; l l l J: 3, c "cl_ 1x c 3 i. m "1 +<. _......J 3.1X3.1m l+ 1 J. BED 0 l LL L,f L_L.11 j \ L1.LCONt.,, l) 1,_... [CJ UH, J TH E TH M1TH M2TH M2 TH M2 TH Ml TH E TH8 E TH8 M1TH8 M2TH8 M2TH8 M2TH8 M2 TH8 Ml TH8 E l i l J < L L Unit Cluste 8 Unit Cluste.._ _..... _j FLOOR PLAN 1. All dimensions ae in impeial and metic, and measued fom finish to finish excluding constuction toleances. 2. All mateials, dimensions, and dawings ae appoximate only. 3. nfomation is subject to change without notice, at developes absolute discetion. 4. Actual aea may vay fom the stated aea. 5. Dawings not to scale. 6. All images used ae fo illustative puposes only and do not epesent the actual size, featues, specifications, fittings, and funishings.. The develope eseves the ight to make evisions alteations, at its absolute discetion, without any liability whatsoeve.

6 T: DANDB M:

Math Section 4.2 Radians, Arc Length, and Area of a Sector

Math Section 4.2 Radians, Arc Length, and Area of a Sector Math 1330 - Section 4. Radians, Ac Length, and Aea of a Secto The wod tigonomety comes fom two Geek oots, tigonon, meaning having thee sides, and mete, meaning measue. We have aleady defined the six basic

More information

Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ

Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ Ğ Ü Ü Ü ğ ğ ğ Öğ ş öğ ş ğ öğ ö ö ş ğ ğ ö ğ Ğ ğ ğ Ğ ğ Öğ ç ğ ö öğ ğ ŞÇ ğ ğ l _.j l L., c :, c Ll Ll, c :r. l., }, l : ö,, Lc L.. c l Ll Lr. 0 c (} >,! l LA l l r r l rl c c.r; (Y ; c cy c r! r! \. L : Ll.,

More information

working pages for Paul Richards class notes; do not copy or circulate without permission from PGR 2004/11/3 10:50

working pages for Paul Richards class notes; do not copy or circulate without permission from PGR 2004/11/3 10:50 woking pages fo Paul Richads class notes; do not copy o ciculate without pemission fom PGR 2004/11/3 10:50 CHAPTER7 Solid angle, 3D integals, Gauss s Theoem, and a Delta Function We define the solid angle,

More information

Psychometric Methods: Theory into Practice Larry R. Price

Psychometric Methods: Theory into Practice Larry R. Price ERRATA Psychometic Methods: Theoy into Pactice Lay R. Pice Eos wee made in Equations 3.5a and 3.5b, Figue 3., equations and text on pages 76 80, and Table 9.1. Vesions of the elevant pages that include

More information

Chapter 3 Optical Systems with Annular Pupils

Chapter 3 Optical Systems with Annular Pupils Chapte 3 Optical Systems with Annula Pupils 3 INTRODUCTION In this chapte, we discuss the imaging popeties of a system with an annula pupil in a manne simila to those fo a system with a cicula pupil The

More information

Graph Cuts vs. Level Sets. part III Connecting Graph Cuts and Level Sets

Graph Cuts vs. Level Sets. part III Connecting Graph Cuts and Level Sets Euopean onfeence on ompute Vision 2006 : Gaph uts vs. Level Sets, Y. Boykov (UWO), D. emes (U. of Bonn), V. Kolmogoov (UL) EV 2006 tutoial on Gaph uts vs. Level Sets pat III onnecting Gaph uts and Level

More information

612 MHR Principles of Mathematics 9 Solutions. Optimizing Measurements. Chapter 9 Get Ready. Chapter 9 Get Ready Question 1 Page 476.

612 MHR Principles of Mathematics 9 Solutions. Optimizing Measurements. Chapter 9 Get Ready. Chapter 9 Get Ready Question 1 Page 476. Chapte 9 Optimizing Measuements Chapte 9 Get Ready Chapte 9 Get Ready Question Page 476 a) P = w+ l = 0 + 0 = 0 + 40 = 60 A= lw = 0 0 = 00 The peimete is 60 cm, and the aea is 00 cm. b) P = w+ l = 5. 8

More information

2 Cut the circle along the fold lines to divide the circle into 16 equal wedges. radius. Think About It

2 Cut the circle along the fold lines to divide the circle into 16 equal wedges. radius. Think About It Activity 8.7 Finding Aea of Cicles Question How do you find the aea of a cicle using the adius? Mateials compass staightedge scissos Exploe 1 Use a compass to daw a cicle on a piece of pape. Cut the cicle

More information

F-IF Logistic Growth Model, Abstract Version

F-IF Logistic Growth Model, Abstract Version F-IF Logistic Gowth Model, Abstact Vesion Alignments to Content Standads: F-IFB4 Task An impotant example of a model often used in biology o ecology to model population gowth is called the logistic gowth

More information

Water flows through the voids in a soil which are interconnected. This flow may be called seepage, since the velocities are very small.

Water flows through the voids in a soil which are interconnected. This flow may be called seepage, since the velocities are very small. Wate movement Wate flows though the voids in a soil which ae inteconnected. This flow may be called seepage, since the velocities ae vey small. Wate flows fom a highe enegy to a lowe enegy and behaves

More information

Physics 2A Chapter 10 - Moment of Inertia Fall 2018

Physics 2A Chapter 10 - Moment of Inertia Fall 2018 Physics Chapte 0 - oment of netia Fall 08 The moment of inetia of a otating object is a measue of its otational inetia in the same way that the mass of an object is a measue of its inetia fo linea motion.

More information

1. Show that the volume of the solid shown can be represented by the polynomial 6x x.

1. Show that the volume of the solid shown can be represented by the polynomial 6x x. 7.3 Dividing Polynomials by Monomials Focus on Afte this lesson, you will be able to divide a polynomial by a monomial Mateials algeba tiles When you ae buying a fish tank, the size of the tank depends

More information

Insulated Bearings MEGAOHM TM Series

Insulated Bearings MEGAOHM TM Series Fo ew Technology etwok copoation R Insulated eaings MEGAOHM TM Seies Insulated eaings MEGAOHM TM Seies : Offeing Enhanced Safety and Reliability eaings used in electical equipment such as motos and powe

More information

CALCULUS FOR TECHNOLOGY (BETU 1023)

CALCULUS FOR TECHNOLOGY (BETU 1023) CALCULUS FOR TECHNOLOGY (BETU 103) WEEK 7 APPLICATIONS OF DIFFERENTIATION 1 KHAIRUM BIN HAMZAH, IRIANTO, 3 ABDUL LATIFF BIN MD AHOOD, 4 MOHD FARIDUDDIN BIN MUKHTAR 1 khaium@utem.edu.my, iianto@utem.edu.my,

More information

4/18/2005. Statistical Learning Theory

4/18/2005. Statistical Learning Theory Statistical Leaning Theoy Statistical Leaning Theoy A model of supevised leaning consists of: a Envionment - Supplying a vecto x with a fixed but unknown pdf F x (x b Teache. It povides a desied esponse

More information

(tnaiaun uaejna) o il?smitfl?^ni7wwuiinuvitgviisyiititvi2a-a a imaviitjivi5a^ qw^ww^i fiaa!i-j?s'u'uil?g'ijimqwuwiijami.wti. a nmj 1,965,333.

(tnaiaun uaejna) o il?smitfl?^ni7wwuiinuvitgviisyiititvi2a-a a imaviitjivi5a^ qw^ww^i fiaa!i-j?s'u'uil?g'ijimqwuwiijami.wti. a nmj 1,965,333. 0 fltu77jjiimviu«7mi^ gi^"ijhm?'ijjw?flfi^ V m 1 /14 il?mitfl?^i7wwuiinuvitgviiyiititvi2- imviitvi^ qw^ww^i fi!i-j?'u'uil?g'iqwuwiijmi.wti twwrlf^ imii2^

More information

3.6 Applied Optimization

3.6 Applied Optimization .6 Applied Optimization Section.6 Notes Page In this section we will be looking at wod poblems whee it asks us to maimize o minimize something. Fo all the poblems in this section you will be taking the

More information

6.1: Angles and Their Measure

6.1: Angles and Their Measure 6.1: Angles and Thei Measue Radian Measue Def: An angle that has its vetex at the cente of a cicle and intecepts an ac on the cicle equal in length to the adius of the cicle has a measue of one adian.

More information

APPH 4200 Physics of Fluids

APPH 4200 Physics of Fluids APPH 42 Physics of Fluids Problem Solving and Vorticity (Ch. 5) 1.!! Quick Review 2.! Vorticity 3.! Kelvin s Theorem 4.! Examples 1 How to solve fluid problems? (Like those in textbook) Ç"Tt=l I $T1P#(

More information

Calculus I Section 4.7. Optimization Equation. Math 151 November 29, 2008

Calculus I Section 4.7. Optimization Equation. Math 151 November 29, 2008 Calculus I Section 4.7 Optimization Solutions Math 151 Novembe 9, 008 The following poblems ae maimum/minimum optimization poblems. They illustate one of the most impotant applications of the fist deivative.

More information

Review Exercise Set 16

Review Exercise Set 16 Review Execise Set 16 Execise 1: A ectangula plot of famland will be bounded on one side by a ive and on the othe thee sides by a fence. If the fame only has 600 feet of fence, what is the lagest aea that

More information

KR- 21 FOR FORMULA SCORED TESTS WITH. Robert L. Linn, Robert F. Boldt, Ronald L. Flaugher, and Donald A. Rock

KR- 21 FOR FORMULA SCORED TESTS WITH. Robert L. Linn, Robert F. Boldt, Ronald L. Flaugher, and Donald A. Rock RB-66-4D ~ E S [ B A U R L C L Ii E TI KR- 21 FOR FORMULA SCORED TESTS WITH OMITS SCORED AS WRONG Robet L. Linn, Robet F. Boldt, Ronald L. Flaughe, and Donald A. Rock N This Bulletin is a daft fo inteoffice

More information

2 E. on each of these two surfaces. r r r r. Q E E ε. 2 2 Qencl encl right left 0

2 E. on each of these two surfaces. r r r r. Q E E ε. 2 2 Qencl encl right left 0 Ch : 4, 9,, 9,,, 4, 9,, 4, 8 4 (a) Fom the diagam in the textbook, we see that the flux outwad though the hemispheical suface is the same as the flux inwad though the cicula suface base of the hemisphee

More information

11.2. Area of a Circle. Lesson Objective. Derive the formula for the area of a circle.

11.2. Area of a Circle. Lesson Objective. Derive the formula for the area of a circle. 11.2 Aea of a Cicle Lesson Objective Use fomulas to calculate the aeas of cicles, semicicles, and quadants. Lean Deive the fomula fo the aea of a cicle. A diamete divides a cicle of adius into 2 semicicles.

More information

Physics 122, Fall December 2012

Physics 122, Fall December 2012 Physics 1, Fall 01 6 Decembe 01 Toay in Physics 1: Examples in eview By class vote: Poblem -40: offcente chage cylines Poblem 8-39: B along axis of spinning, chage isk Poblem 30-74: selfinuctance of a

More information

7.2.1 Basic relations for Torsion of Circular Members

7.2.1 Basic relations for Torsion of Circular Members Section 7. 7. osion In this section, the geomety to be consideed is that of a long slende cicula ba and the load is one which twists the ba. Such poblems ae impotant in the analysis of twisting components,

More information

I-1. rei. o & A ;l{ o v(l) o t. e 6rf, \o. afl. 6rt {'il l'i. S o S S. l"l. \o a S lrh S \ S s l'l {a ra \o r' tn $ ra S \ S SG{ $ao. \ S l"l. \ (?

I-1. rei. o & A ;l{ o v(l) o t. e 6rf, \o. afl. 6rt {'il l'i. S o S S. ll. \o a S lrh S \ S s l'l {a ra \o r' tn $ ra S \ S SG{ $ao. \ S ll. \ (? >. 1! = * l >'r : ^, : - fr). ;1,!/!i ;(?= f: r*. fl J :!= J; J- >. Vf i - ) CJ ) ṯ,- ( r k : ( l i ( l 9 ) ( ;l fr i) rf,? l i =r, [l CB i.l.!.) -i l.l l.!. * (.1 (..i -.1.! r ).!,l l.r l ( i b i i '9,

More information

Gaia s Place in Space

Gaia s Place in Space Gaia s Place in Space The impotance of obital positions fo satellites Obits and Lagange Points Satellites can be launched into a numbe of diffeent obits depending on thei objectives and what they ae obseving.

More information

Available online through ISSN

Available online through  ISSN Intenational eseach Jounal of Pue Algeba -() 01 98-0 Available online though wwwjpainfo ISSN 8 907 SOE ESULTS ON THE GOUP INVESE OF BLOCK ATIX OVE IGHT OE DOAINS Hanyu Zhang* Goup of athematical Jidong

More information

Executive Committee and Officers ( )

Executive Committee and Officers ( ) Gifted and Talented International V o l u m e 2 4, N u m b e r 2, D e c e m b e r, 2 0 0 9. G i f t e d a n d T a l e n t e d I n t e r n a t i o n a2 l 4 ( 2), D e c e m b e r, 2 0 0 9. 1 T h e W o r

More information

Objectives: After finishing this unit you should be able to:

Objectives: After finishing this unit you should be able to: lectic Field 7 Objectives: Afte finishing this unit you should be able to: Define the electic field and explain what detemines its magnitude and diection. Wite and apply fomulas fo the electic field intensity

More information

a l i f e s t y l e p r e c i n c t O L I E V E N H O U T B O S C H

a l i f e s t y l e p r e c i n c t O L I E V E N H O U T B O S C H a l i f e s t y l e p r e c i n c t O L I E V E N H O U T B O S C H T H E D E V E L O P M E N T O l i v e S q u a r e 7 0 0 0 S q m r e t a i l w i t h i n n e r s q u a r e l i f e s t y l e c o n c e

More information

T H E M A R I N A S u n n y & B r i g h t M i d - C e n t u r y H o m e 1 3 0 R e t i r o W a y, S a n F r a n c i s c o P r e s e n t e d b y : M a l i n G i d d i n g s & M a x A r m o u r 415.531.5033

More information

MAGNETIC FIELD AROUND TWO SEPARATED MAGNETIZING COILS

MAGNETIC FIELD AROUND TWO SEPARATED MAGNETIZING COILS The 8 th Intenational Confeence of the Slovenian Society fo Non-Destuctive Testing»pplication of Contempoay Non-Destuctive Testing in Engineeing«Septembe 1-3, 5, Potoož, Slovenia, pp. 17-1 MGNETIC FIELD

More information

RECTIFYING THE CIRCUMFERENCE WITH GEOGEBRA

RECTIFYING THE CIRCUMFERENCE WITH GEOGEBRA ECTIFYING THE CICUMFEENCE WITH GEOGEBA A. Matín Dinnbie, G. Matín González and Anthony C.M. O 1 Intoducction The elation between the cicumfeence and the adius of a cicle is one of the most impotant concepts

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

Gravitation. AP/Honors Physics 1 Mr. Velazquez

Gravitation. AP/Honors Physics 1 Mr. Velazquez Gavitation AP/Honos Physics 1 M. Velazquez Newton s Law of Gavitation Newton was the fist to make the connection between objects falling on Eath and the motion of the planets To illustate this connection

More information

4.3 Area of a Sector. Area of a Sector Section

4.3 Area of a Sector. Area of a Sector Section ea of a Secto Section 4. 9 4. ea of a Secto In geomety you leaned that the aea of a cicle of adius is π 2. We will now lean how to find the aea of a secto of a cicle. secto is the egion bounded by a cental

More information

TUTORIAL 9. Static magnetic field

TUTORIAL 9. Static magnetic field TUTOIAL 9 Static magnetic field Vecto magnetic potential Null Identity % & %$ A # Fist postulation # " B such that: Vecto magnetic potential Vecto Poisson s equation The solution is: " Substitute it into

More information

i;\-'i frz q > R>? >tr E*+ [S I z> N g> F 'x sa :r> >,9 T F >= = = I Y E H H>tr iir- g-i I * s I!,i --' - = a trx - H tnz rqx o >.F g< s Ire tr () -s

i;\-'i frz q > R>? >tr E*+ [S I z> N g> F 'x sa :r> >,9 T F >= = = I Y E H H>tr iir- g-i I * s I!,i --' - = a trx - H tnz rqx o >.F g< s Ire tr () -s 5 C /? >9 T > ; '. ; J ' ' J. \ ;\' \.> ). L; c\ u ( (J ) \ 1 ) : C ) (... >\ > 9 e!) T C). '1!\ /_ \ '\ ' > 9 C > 9.' \( T Z > 9 > 5 P + 9 9 ) :> : + (. \ z : ) z cf C : u 9 ( :!z! Z c (! $ f 1 :.1 f.

More information

PHYS 232 QUIZ minutes.

PHYS 232 QUIZ minutes. / PHYS 232 QUIZ 1 02-18-2005 50 minutes. This quiz has 3 questions. Please show all your work. If your final answer is not correct, you will get partial credit based on your work shown. You are allowed

More information

Chapter 1: Introduction to Polar Coordinates

Chapter 1: Introduction to Polar Coordinates Habeman MTH Section III: ola Coodinates and Comple Numbes Chapte : Intoduction to ola Coodinates We ae all comfotable using ectangula (i.e., Catesian coodinates to descibe points on the plane. Fo eample,

More information

Area of Circles. Fold a paper plate in half four times to. divide it into 16 equal-sized sections. Label the radius r as shown.

Area of Circles. Fold a paper plate in half four times to. divide it into 16 equal-sized sections. Label the radius r as shown. -4 Aea of Cicles MAIN IDEA Find the aeas of cicles. Fold a pape plate in half fou times to New Vocabulay Label the adius as shown. Let C secto Math Online glencoe.com Exta Examples Pesonal Tuto Self-Check

More information

8.7 Circumference and Area

8.7 Circumference and Area Page 1 of 8 8.7 Cicumfeence and Aea of Cicles Goal Find the cicumfeence and aea of cicles. Key Wods cicle cente adius diamete cicumfeence cental angle secto A cicle is the set of all points in a plane

More information

WALL D*TA PRINT-OUT. 3 nmth ZONE

WALL D*TA PRINT-OUT. 3 nmth ZONE T A B L E A 4. 3 G L A S S D A T A P R I N T - O U T H T C L».>qth» H e ig h t n u «b»r C L A S S D A T A P R I N T O U T it************************************ 1*q o v»rh # n g recm oi*ion*l orient n

More information

ARC 202L. Not e s : I n s t r u c t o r s : D e J a r n e t t, L i n, O r t e n b e r g, P a n g, P r i t c h a r d - S c h m i t z b e r g e r

ARC 202L. Not e s : I n s t r u c t o r s : D e J a r n e t t, L i n, O r t e n b e r g, P a n g, P r i t c h a r d - S c h m i t z b e r g e r ARC 202L C A L I F O R N I A S T A T E P O L Y T E C H N I C U N I V E R S I T Y D E P A R T M E N T O F A R C H I T E C T U R E A R C 2 0 2 L - A R C H I T E C T U R A L S T U D I O W I N T E R Q U A

More information

NOTE. Some New Bounds for Cover-Free Families

NOTE. Some New Bounds for Cover-Free Families Jounal of Combinatoial Theoy, Seies A 90, 224234 (2000) doi:10.1006jcta.1999.3036, available online at http:.idealibay.com on NOTE Some Ne Bounds fo Cove-Fee Families D. R. Stinson 1 and R. Wei Depatment

More information

~,. :'lr. H ~ j. l' ", ...,~l. 0 '" ~ bl '!; 1'1. :<! f'~.., I,," r: t,... r':l G. t r,. 1'1 [<, ."" f'" 1n. t.1 ~- n I'>' 1:1 , I. <1 ~'..

~,. :'lr. H ~ j. l' , ...,~l. 0 ' ~ bl '!; 1'1. :<! f'~.., I,, r: t,... r':l G. t r,. 1'1 [<, . f' 1n. t.1 ~- n I'>' 1:1 , I. <1 ~'.. ,, 'l t (.) :;,/.I I n ri' ' r l ' rt ( n :' (I : d! n t, :?rj I),.. fl.),. f!..,,., til, ID f-i... j I. 't' r' t II!:t () (l r El,, (fl lj J4 ([) f., () :. -,,.,.I :i l:'!, :I J.A.. t,.. p, - ' I I I

More information

Pearson s Chi-Square Test Modifications for Comparison of Unweighted and Weighted Histograms and Two Weighted Histograms

Pearson s Chi-Square Test Modifications for Comparison of Unweighted and Weighted Histograms and Two Weighted Histograms Peason s Chi-Squae Test Modifications fo Compaison of Unweighted and Weighted Histogams and Two Weighted Histogams Univesity of Akueyi, Bogi, v/noduslód, IS-6 Akueyi, Iceland E-mail: nikolai@unak.is Two

More information

kg 2 ) 1.9!10 27 kg = Gm 1

kg 2 ) 1.9!10 27 kg = Gm 1 Section 6.1: Newtonian Gavitation Tutoial 1 Pactice, page 93 1. Given: 1.0 10 0 kg; m 3.0 10 0 kg;. 10 9 N; G 6.67 10 11 N m /kg Requied: Analysis: G m ; G m G m Solution: G m N m 6.67!10 11 kg ) 1.0!100

More information

CULVERHAY THE EXISTING SITE PLAN

CULVERHAY THE EXISTING SITE PLAN G PB00 THE EXISTING SITE PLAN greensquaregro.com Ordnance Survey Crown copyright 0 00 Crown copyright material is reproduced with the permission of Land Registry under delegated authority from the Controller

More information

Δt The textbook chooses to say that the average velocity is

Δt The textbook chooses to say that the average velocity is 1-D Motion Basic I Definitions: One dimensional motion (staight line) is a special case of motion whee all but one vecto component is zeo We will aange ou coodinate axis so that the x-axis lies along the

More information

Pushdown Automata (PDAs)

Pushdown Automata (PDAs) CHAPTER 2 Context-Fee Languages Contents Context-Fee Gammas definitions, examples, designing, ambiguity, Chomsky nomal fom Pushdown Automata definitions, examples, euivalence with context-fee gammas Non-Context-Fee

More information

..,.., ~ , FOR GOOD T r I. ?7 y -.;-. Tenderly, poco rubato D5 DIG -.. t\ I I I- 1'_ [ 1 T I DIG U) I I ::.-~ ~ $~r.

..,.., ~ , FOR GOOD T r I. ?7 y -.;-. Tenderly, poco rubato D5 DIG -.. t\ I I I- 1'_ [ 1 T I DIG U) I I ::.-~ ~ $~r. FOR OOD fom the Boadway Musical WCKED Tendely poco ubato D5 D 4 f)jj D5 Music and Lyics by STEPHEN SCHWARTZ U) :: fljj p ' C" 4 With pedal D U T A JJ LNDA : $?7 've head it said that pea ple '_ 5 t\ f)jj

More information

Designing a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak

Designing a Sine-Coil for Measurement of Plasma Displacements in IR-T1 Tokamak Designing a Sine-Coil fo Measuement of Plasma Displacements in IR-T Tokamak Pejman Khoshid, M. Razavi, M. Ghoanneviss, M. Molaii, A. TalebiTahe, R. Avin, S. Mohammadi and A. NikMohammadi Dept. of Physics,

More information

( ) ( ) Last Time. 3-D particle in box: summary. Modified Bohr model. 3-dimensional Hydrogen atom. Orbital magnetic dipole moment

( ) ( ) Last Time. 3-D particle in box: summary. Modified Bohr model. 3-dimensional Hydrogen atom. Orbital magnetic dipole moment Last Time 3-dimensional quantum states and wave functions Couse evaluations Tuesday, Dec. 9 in class Deceasing paticle size Quantum dots paticle in box) Optional exta class: eview of mateial since Exam

More information

o f t h e s e a. R ates paya b l e 2, ( i n c l. o f water rates).

o f t h e s e a. R ates paya b l e 2, ( i n c l. o f water rates). C U B B O N H O U S E D O U G L A S I S L E O F M A N P R I C E O N A P P L I C A T I O N w w w. c u b b o n h o u s e. i m C u b b o n H o u s e i s a 6 / 7 b e d r o o m d e t a c h e d V i c t o r

More information

2.' -4-5 I fo. - /30 + ;3, x + G: ~ / ~ ) ~ ov. Fd'r evt.'i') cutckf' ()y\e.._o OYLt dtt:vl. t'"'i ~ _) y =.5_21/2-+. 8"'- 2.

2.' -4-5 I fo. - /30 + ;3, x + G: ~ / ~ ) ~ ov. Fd'r evt.'i') cutckf' ()y\e.._o OYLt dtt:vl. t''i ~ _) y =.5_21/2-+. 8'- 2. Statistics 100 Sample FINAL Instructions: I. WORK ALL PROBLEMS. Please, give details and explanations and SHOW ALL YOUR WORK so that partial credits can be given. 2. You may use four pages of notes, tables

More information

Physics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism

Physics 2020, Spring 2005 Lab 5 page 1 of 8. Lab 5. Magnetism Physics 2020, Sping 2005 Lab 5 page 1 of 8 Lab 5. Magnetism PART I: INTRODUCTION TO MAGNETS This week we will begin wok with magnets and the foces that they poduce. By now you ae an expet on setting up

More information

Score: Fall 2009 Name Row 80. C(t) = 30te- O. 04t

Score: Fall 2009 Name Row 80. C(t) = 30te- O. 04t Math 1410 - Test #3A Score: Fall 2009 Name Row 80 Q1: This is a calculator problem. If t, in minutes, is the time since a drug was administered, the concentration, C(t) in ng/ml, of a drug in a patient's

More information

, the tangent line is an approximation of the curve (and easier to deal with than the curve).

, the tangent line is an approximation of the curve (and easier to deal with than the curve). 114 Tangent Planes and Linea Appoimations Back in-dimensions, what was the equation of the tangent line of f ( ) at point (, ) f ( )? (, ) ( )( ) = f Linea Appoimation (Tangent Line Appoimation) of f at

More information

Article : 8 Article : 8 Stress Field. and. Singularity Problem

Article : 8 Article : 8 Stress Field. and. Singularity Problem Aticle : 8 Aticle : 8 Stess Field and Singulaity Poblem (fatigue cack gowth) Repeated load cycles cack development Time (cycles) Cack length 3 Weakening due to gowing cacks Cack length stess concentation

More information

Physics 2212 GH Quiz #2 Solutions Spring 2016

Physics 2212 GH Quiz #2 Solutions Spring 2016 Physics 2212 GH Quiz #2 Solutions Sping 216 I. 17 points) Thee point chages, each caying a chage Q = +6. nc, ae placed on an equilateal tiangle of side length = 3. mm. An additional point chage, caying

More information

EN40: Dynamics and Vibrations. Midterm Examination Thursday March

EN40: Dynamics and Vibrations. Midterm Examination Thursday March EN40: Dynamics and Vibations Midtem Examination Thusday Mach 9 2017 School of Engineeing Bown Univesity NAME: Geneal Instuctions No collaboation of any kind is pemitted on this examination. You may bing

More information

WWW.THEDEVONSHIREWORKS.CO.UK OFFICE AND STUDIO space ight in the middle of sheffield s most exciting and DIVERSE quate DIVISION STREET CULTURAL Relax in the pak a shot walk fom the office is Devonshie

More information

The geometric construction of Ewald sphere and Bragg condition:

The geometric construction of Ewald sphere and Bragg condition: The geometic constuction of Ewald sphee and Bagg condition: The constuction of Ewald sphee must be done such that the Bagg condition is satisfied. This can be done as follows: i) Daw a wave vecto k in

More information

Chapter 4. Newton s Laws of Motion

Chapter 4. Newton s Laws of Motion Chapte 4 Newton s Laws of Motion 4.1 Foces and Inteactions A foce is a push o a pull. It is that which causes an object to acceleate. The unit of foce in the metic system is the Newton. Foce is a vecto

More information

Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method

Numerical Inversion of the Abel Integral Equation using Homotopy Perturbation Method Numeical Invesion of the Abel Integal Equation using Homotopy Petubation Method Sunil Kuma and Om P Singh Depatment of Applied Mathematics Institute of Technology Banaas Hindu Univesity Vaanasi -15 India

More information

Le Chatelier's Principle. 2. How changes in each factor affect equilibrium (Le Chatelier's Principle)

Le Chatelier's Principle. 2. How changes in each factor affect equilibrium (Le Chatelier's Principle) Chern 12 Notes 11.4 - Le Chatelier's Principle Goals are to learn: 1. The factors that can cause changes in a system at equilibrium 2. How changes in each factor affect equilibrium (Le Chatelier's Principle)

More information

Numerical Integration

Numerical Integration MCEN 473/573 Chapte 0 Numeical Integation Fall, 2006 Textbook, 0.4 and 0.5 Isopaametic Fomula Numeical Integation [] e [ ] T k = h B [ D][ B] e B Jdsdt In pactice, the element stiffness is calculated numeically.

More information

you of a spring. The potential energy for a spring is given by the parabola U( x)

you of a spring. The potential energy for a spring is given by the parabola U( x) Small oscillations The theoy of small oscillations is an extemely impotant topic in mechanics. Conside a system that has a potential enegy diagam as below: U B C A x Thee ae thee points of stable equilibium,

More information

AARON( COPLAND( The Promise of Living ,V/! from The Tender Land. ~~~mffw6o BOOSEY &HAWKES .HA~ :~~~NARD /"\ ~CORPORATION

AARON( COPLAND( The Promise of Living ,V/! from The Tender Land. ~~~mffw6o BOOSEY &HAWKES .HA~ :~~~NARD /\ ~CORPORATION 48003284 $325 M051450206 THE PROMSE OF LVNG SATBB The Pomise of Liv fom The Tende Land AARON( COPLAND( /"\,V/! mffw6o BOOSEY &HAWKES HA :NARD CORPORATON 7777 W BLUEMOUND RD PO BOX 13819 MLWAUKEE, W 53213

More information

Ninth Marine Air Wing To Be Decommissioned. ment of the Transport Air Broup.

Ninth Marine Air Wing To Be Decommissioned. ment of the Transport Air Broup. N M W T B D $ R V /RNE M N 2 C O R R & F O T T O O N T TTON-CHERRY ONT NC B D OM O z C M H N M W O z M 944 T W ; N W j j C T q T N W T W z ; q q z - M 30 946 F T G O R [MR 252952 C q -C - T G VMR 252 V

More information

Gradient-based Neural Network for Online Solution of Lyapunov Matrix Equation with Li Activation Function

Gradient-based Neural Network for Online Solution of Lyapunov Matrix Equation with Li Activation Function Intenational Confeence on Infomation echnology and Management Innovation (ICIMI 05) Gadient-based Neual Netwok fo Online Solution of Lyapunov Matix Equation with Li Activation unction Shiheng Wang, Shidong

More information

Robado del Archivo del Dr. Antonio Rafael de la Cova

Robado del Archivo del Dr. Antonio Rafael de la Cova Robado del Archvo del Dr. Antono Raael de la Cova http:www.latnamercanstudes.org/ Muster Roll: 655-858. Under ea.ch COlnl?ny are recorded the nams o the man wth nom.:lton show ng ran.'l< when hare and

More information

Lecture 5. Torsion. Module 1. Deformation Pattern in Pure Torsion In Circular Cylinder. IDeALab. Prof. Y.Y.KIM. Solid Mechanics

Lecture 5. Torsion. Module 1. Deformation Pattern in Pure Torsion In Circular Cylinder. IDeALab. Prof. Y.Y.KIM. Solid Mechanics Lectue 5. Tosion Module 1. Defomation Patten in Pue Tosion In Cicula Cylinde Defomation Patten Shafts unde tosion ae eveywhee. Candall, An Intoduction to the Mechanics of solid, Mc Gaw-Hill, 1999 1 Defomation

More information

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9

OH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9 OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at

More information

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department. Problem Set 10 Solutions. r s

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department. Problem Set 10 Solutions. r s MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Depatment Physics 8.033 Decembe 5, 003 Poblem Set 10 Solutions Poblem 1 M s y x test paticle The figue above depicts the geomety of the poblem. The position

More information

Please note that not all pages are included. This is purposely done in order to protect our property and the work of our esteemed composers.

Please note that not all pages are included. This is purposely done in order to protect our property and the work of our esteemed composers. Please note that not all ages ae included This is uosely done in ode to otect ou oety and the wok of ou esteemed comoses f you would like to see this wok in its entiety, lease ode online o call us at 8006472117

More information

Cheetah: Fast Graph Kernel Tracking on Dynamic Graphs

Cheetah: Fast Graph Kernel Tracking on Dynamic Graphs Cheetah: Fast Gaph Kenel Tacking on Dynamic Gaphs Pesente: Liangyue Li Joint wok with Hanghang Tong (ASU), Yanghua Xiao (Fudan), Wei Fan (Baidu) 1 Aizona State Univesity Gaphs ae Eveywhee Collaboation

More information

Electromagnetism Physics 15b

Electromagnetism Physics 15b lectomagnetism Physics 15b Lectue #20 Dielectics lectic Dipoles Pucell 10.1 10.6 What We Did Last Time Plane wave solutions of Maxwell s equations = 0 sin(k ωt) B = B 0 sin(k ωt) ω = kc, 0 = B, 0 ˆk =

More information

Lecture 04: HFK Propagation Physical Optics II (Optical Sciences 330) (Updated: Friday, April 29, 2005, 8:05 PM) W.J. Dallas

Lecture 04: HFK Propagation Physical Optics II (Optical Sciences 330) (Updated: Friday, April 29, 2005, 8:05 PM) W.J. Dallas C:\Dallas\0_Couses\0_OpSci_330\0 Lectue Notes\04 HfkPopagation.doc: Page of 9 Lectue 04: HFK Popagation Physical Optics II (Optical Sciences 330) (Updated: Fiday, Apil 9, 005, 8:05 PM) W.J. Dallas The

More information

Kr7. wd /J-t- To pick up your graded exam from a box outside 5100A Pacific Hall sign here:

Kr7. wd /J-t- To pick up your graded exam from a box outside 5100A Pacific Hall sign here: wd /J-t- To pick up your graded exam from a box outside 5100A Pacific Hall sign here: Kr7 chemtsrry 140A FTNAL EXAM 1v & s 6" Eo1 DEC 8,2011 NAME (please print) SIGNATURE FIBST LAST ID NUMBER LAST NAME

More information

Reading Assignment. Problem Description for Homework #9. Read Chapters 29 and 30.

Reading Assignment. Problem Description for Homework #9. Read Chapters 29 and 30. Reading Assignment Read Chaptes 29 and 30. Poblem Desciption fo Homewok #9 In this homewok, you will solve the inhomogeneous Laplace s equation to calculate the electic scala potential that exists between

More information

Motion in One Dimension

Motion in One Dimension Motion in One Dimension Intoduction: In this lab, you will investigate the motion of a olling cat as it tavels in a staight line. Although this setup may seem ovesimplified, you will soon see that a detailed

More information

Mutual Inductance. If current i 1 is time varying, then the Φ B2 flux is varying and this induces an emf ε 2 in coil 2, the emf is

Mutual Inductance. If current i 1 is time varying, then the Φ B2 flux is varying and this induces an emf ε 2 in coil 2, the emf is Mutua Inductance If we have a constant cuent i in coi, a constant magnetic fied is ceated and this poduces a constant magnetic fux in coi. Since the Φ B is constant, thee O induced cuent in coi. If cuent

More information

ME 3600 Control Systems Frequency Domain Analysis

ME 3600 Control Systems Frequency Domain Analysis ME 3600 Contol Systems Fequency Domain Analysis The fequency esponse of a system is defined as the steady-state esponse of the system to a sinusoidal (hamonic) input. Fo linea systems, the esulting steady-state

More information

AP Centripetal Acceleration Lab

AP Centripetal Acceleration Lab AP PHYSICS NAME: PERIOD: DATE: GRADE: DEVIL PHYSICS BADDEST CLASS ON CAMPUS AP Centipetal Acceleation Lab Note: Data collection will be done by table goups. Data analysis is to be done individually. Copying

More information

Physics C Rotational Motion Name: ANSWER KEY_ AP Review Packet

Physics C Rotational Motion Name: ANSWER KEY_ AP Review Packet Linea and angula analogs Linea Rotation x position x displacement v velocity a T tangential acceleation Vectos in otational motion Use the ight hand ule to detemine diection of the vecto! Don t foget centipetal

More information

FE FORMULATIONS FOR PLASTICITY

FE FORMULATIONS FOR PLASTICITY G These slides ae designed based on the book: Finite Elements in Plasticity Theoy and Pactice, D.R.J. Owen and E. Hinton, 970, Pineidge Pess Ltd., Swansea, UK. Couse Content: A INTRODUCTION AND OVERVIEW

More information

Supplementary Figure 1. Circular parallel lamellae grain size as a function of annealing time at 250 C. Error bars represent the 2σ uncertainty in

Supplementary Figure 1. Circular parallel lamellae grain size as a function of annealing time at 250 C. Error bars represent the 2σ uncertainty in Supplementay Figue 1. Cicula paallel lamellae gain size as a function of annealing time at 50 C. Eo bas epesent the σ uncetainty in the measued adii based on image pixilation and analysis uncetainty contibutions

More information

Supplementary Information

Supplementary Information If f - - x R f z (F ) w () () f F >, f E jj E, V G >, G >, E G,, f ff f FILY f jj ff LO_ N_ j:rer_ N_ Y_ fg LO_; LO_ N_; N_ j:rer_; j:rer_ N_ Y_ f LO_ N_ j:rer_; j:rer_; N_ j:rer_ Y_ fn LO_ N_ - N_ Y_

More information

Unit 7: Sources of magnetic field

Unit 7: Sources of magnetic field Unit 7: Souces of magnetic field Oested s expeiment. iot and Savat s law. Magnetic field ceated by a cicula loop Ampèe s law (A.L.). Applications of A.L. Magnetic field ceated by a: Staight cuent-caying

More information

Fields. Coulomb s Law

Fields. Coulomb s Law Coulomb s Law q t -q q 2 Electic Field Vecto valued function ligned with foce F = q E -q q 2 Supeposition of Electic Field q t -q q 2 Potential Enegy U = U() U() = q du = F d = qe d U = F = qe E d E =

More information

Analysis of the Dynamical Equations Chapter 2. Paul A. Ullrich

Analysis of the Dynamical Equations Chapter 2. Paul A. Ullrich Analysis of the Dynamical Equations Chapte 2 Paul A. Ullich paullich@ucdavis.edu Pat 1: Scale Analysis of the Momentum Equation The Atmospheic Equations Du uv tan Dv + u2 tan Dw c p DT + uw = 1 cos + vw

More information

Geometry of the homogeneous and isotropic spaces

Geometry of the homogeneous and isotropic spaces Geomety of the homogeneous and isotopic spaces H. Sonoda Septembe 2000; last evised Octobe 2009 Abstact We summaize the aspects of the geomety of the homogeneous and isotopic spaces which ae most elevant

More information

Physics 11 Chapter 20: Electric Fields and Forces

Physics 11 Chapter 20: Electric Fields and Forces Physics Chapte 0: Electic Fields and Foces Yesteday is not ous to ecove, but tomoow is ous to win o lose. Lyndon B. Johnson When I am anxious it is because I am living in the futue. When I am depessed

More information

Fluid flow in curved geometries: Mathematical Modeling and Applications

Fluid flow in curved geometries: Mathematical Modeling and Applications Fluid flow in cuved geometies: Mathematical Modeling and Applications D. Muhammad Sajid Theoetical Plasma Physics Division PINSTECH, P.O. Niloe, PAEC, Islamabad Mach 01-06, 010 Islamabad, Paistan Pesentation

More information

,., [~== -I ] ~y_/5 =- 21 Y -/ Y. t. \,X ::: 3J ~ - 3. Test: Linear equations and Linear inequalities. At!$fJJ' ~ dt~ - 5 = -7C +4 + re -t~ -+>< 1- )_

,., [~== -I ] ~y_/5 =- 21 Y -/ Y. t. \,X ::: 3J ~ - 3. Test: Linear equations and Linear inequalities. At!$fJJ' ~ dt~ - 5 = -7C +4 + re -t~ -+>< 1- )_ CST 11 Math - September 16 th, 2016 Test: Linear equations and Linear inequalities NAME: At!$fJJ' ~ Section: MCU504: -- - 86 1100 1. Solve the equations below: (4 marks) 2 5 a) 3("3 x -"3) = - x + 4 /{J1:x

More information