Math 10 C. Measurement Test ID: A. Multiple Choice Identify the choice that best completes the statement or answers the question.
|
|
|
- Jonathan McKenzie
- 5 years ago
- Views:
Transcription
1 Ne: ID: A Mesureent Test Mth 0 C Dte: Multiple Choice Identify the choice tht best copletes the stteent or nswers the question. ) Which iperil unit is ost pproprite for esuring the length of ldder? A. Feet B. Inches C. Miles D. Yrds 2) A window is 27 in. high. Convert this height to the nerest centietre. A. 69 c B. 5 c C. c D. 7 c 3) Convert 22 in. to yrds, feet, nd inches. A. 5 yd. 2 ft. 8 in. B. 8 yd. 0 ft. 20 in. C. 8 yd. 2 ft. 5 in. D. 2 yd. 2 ft. 20 in. 4) Convert 30 i. to the nerest kiloetre. Use the conversion tht ile is bout.6 k. A. 53 k B. 9 k C. 48 k D. 4 k 5) Convert 6 yd. to inches. A. 72 in. B. 42 in. C. 8 in. D. 26 in. 6) Write proportion tht cn be used to convert 262 yrds to iles: A. yd. 760 i. = B. yd. 760 i. = 262 x C. 760 yds. = x i. 262 D. 760 yds. = 262 i. x 7) Using unit nlysis, write the setup tht would convert 47 inches to. A. 47 in c in. 00 c B. 47 in. c 2.54 in. 00 c C. 47 in c 00 in. c D. 47 in. c in. c 8) A sphere hs rdius 2.3 c. Wht is the volue of the sphere to the nerest tenth of cubic centietre? A c 3 B c 3 C c 3 D c 3
2 ID: A 9) This regulr tetrhedron hs height of 38.5 c nd bse re of 965 c². Clculte its volue to the nerest cubic centietre. 2) A sphere hs rdius 2.2 c. Wht is the surfce re of the sphere to the nerest tenth of squre centietre? A c 3 B c 3 C c 3 D c 3 0) Clculte the volue of this right squre pyrid to the nerest cubic foot. A. 328 c² B c² C c² D c² 3) An ice cre cone hs slnt height of.3 c nd rdius of 3.4 c. Deterine the volue of the ice cre cone to the nerest squre centietre. A. 2 cubic feet B. 64 cubic feet C. 8 cubic feet D. 24 cubic feet A. 93 c 3 B. 230 c 3 C. 23 c 3 D. 34 c 3 ) Clculte the volue of this right cone to the nerest tenth of cubic etre. A B C D
3 ID: A Nuericl Response ) Mesure the length of the rectngle using the inch ruler shown. Your nswer will be reduced frction. 2) A killer whle is 7.5 long. Convert this length to feet nd the nerest inch. Recording your nswer: exple: For length of 5 feet inches, record your nswer s 5 Recording your nswer: For length of 7 inch, record n nswer 2 s 72 For length of 7 inch, record n nswer 8 s 78 Proble ) The bse of this cone is to be glued to the circulr fce of the heisphere. Clculte the surfce re of the coposite object fored, to the nerest squre inch. [2 rks] 3
4 ID: A Mth 0C Forul Sheet ) Conversion Tble Iperil to Iperil Iperil to SI (Metric) 2 inches (in) = foot (ft) 2.54 c = in. 3 feet (ft) = yrd (rd) 760 yrds (yds) = ile (i).6 k = i. Right Tringles Pythgoren Theore 2 + b 2 = c 2 Perieter Trigonoetry rtios Squre P = 4s sin A = opposite hypotenuse Are Rectngle P = 2 + 2w cos A = djcent hypotenuse Circle Circuference C = 2πr or C = πd Squre A = s 2 Rectngle A = bh tn A = opposite djcent Exponent Lws n n = n n = Prllelogr A = bh n = n, 0 Tringle A = 2 bh or n = + n Ê n Á ˆ Circle A = πr 2 n = n, 0 Surfce Are Ê ˆ n Á = n Right Pyrid ( b) = b SA = sê Ê perieter of bse 2 Á ˆ ˆ + ( bse re) Á b = b, b 0 Right Cylinder SA = 2πr 2 + 2πrh Right Cone SA = πr 2 + πrs Sphere SA = 4πr 2 Volue Right Rectngulr Pris V = wh Right Rectngulr Pyrid V = 3 wh Coordinte Geoetry Slope = rise run or Slope = y 2 y x 2 x Slope y-intercept for of line: y = x + b Slope point for of line: Right Cylinder V = πr 2 h y y = Ê Áx x ˆ Right Cone V = 3 πr2 h Generl for of line: Sphere V = 4 3 πr3 Ax + By + C = 0 4
5 ID: A Mesureent Test Answer Section MULTIPLE CHOICE ) A 2) A 3) A 4) C 5) D 6) D 7) A 8) B 9) B 0) A ) D 2) B 3) C SHORT ANSWER ) 38 2) 247 PROBLEM ) The surfce re of the coposite object is: = The surfce re of the coposite object is pproxitely 279 squre inches. OTHER ) Mth 0C Foruls
6 Ne: ID: B Mesureent Test Mth 0 C Dte: Multiple Choice Identify the choice tht best copletes the stteent or nswers the question. ) Which iperil unit is ost pproprite for esuring the length of ldder? A. Feet B. Miles C. Inches D. Yrds 2) A window is 27 in. high. Convert this height to the nerest centietre. A. 7 c B. 82 c C. c D. 69 c 3) Convert 4 in. to yrds, feet, nd inches. A. 3 yd. 0 ft. 6 in. B. yd. ft. 8 in. C. 4 yd. 0 ft. 8 in. D. 6 yd. 0 ft. 3 in. 4) Convert 27 i. to the nerest kiloetre. Use the conversion tht ile is bout.6 k. A. 43 k B. 48 k C. 7 k D. 37 k 5) Convert 8 yd. to inches. A. 96 in. B. 288 in. C. 44 in. D. 24 in. 6) Write proportion tht cn be used to convert 377 yrds to iles: A. 760 yds. = 377 i. x B. 760 yds. = x i. 377 C. yd. 760 i. = D. yd. 760 i. = 377 x 7) Using unit nlysis, write the setup tht would convert 44 inches to. A. 44 in. c in. c B. 44 in c 00 in. c C. 44 in. c 2.54 in. 00 c D. 44 in c in. 00 c 8) A sphere hs rdius.3 c. Wht is the volue of the sphere to the nerest tenth of cubic centietre? A c 3 B c 3 C c 3 D c 3
7 ID: B 9) This regulr tetrhedron hs height of 40.2 c nd bse re of 048 c². Clculte its volue to the nerest cubic centietre. 2) A sphere hs rdius 2.4 c. Wht is the surfce re of the sphere to the nerest tenth of squre centietre? A c 3 B. 997 c 3 C c 3 D c 3 0) Clculte the volue of this right squre pyrid to the nerest cubic foot. A c² B. 372 c² C c² D c² 3) An ice cre cone hs slnt height of 4.3 c nd rdius of 3.3 c. Deterine the volue of the ice cre cone to the nerest squre centietre. A. 80 cubic feet B. 48 cubic feet C. 60 cubic feet D. 70 cubic feet A. 27 c 3 B. 234 c 3 C. 25 c 3 D. 365 c 3 ) Clculte the volue of this right cone to the nerest tenth of cubic etre. A B C D
8 ID: B Nuericl Response ) Mesure the length of the rectngle using the inch ruler shown. Your nswer will be reduced frction. 2) A killer whle is 7.4 long. Convert this length to feet nd the nerest inch. Recording your nswer: exple: For length of 5 feet inches, record your nswer s 5 Recording your nswer: For length of 7 inch, record n nswer 2 s 72 For length of 7 inch, record n nswer 8 s 78 Proble ) The bse of this cone is to be glued to the circulr fce of the heisphere. Clculte the surfce re of the coposite object fored, to the nerest squre inch. [2 rks] 3
9 ID: B Mth 0C Forul Sheet ) Conversion Tble Iperil to Iperil Iperil to SI (Metric) 2 inches (in) = foot (ft) 2.54 c = in. 3 feet (ft) = yrd (rd) 760 yrds (yds) = ile (i).6 k = i. Right Tringles Pythgoren Theore 2 + b 2 = c 2 Perieter Trigonoetry rtios Squre P = 4s sin A = opposite hypotenuse Are Rectngle P = 2 + 2w cos A = djcent hypotenuse Circle Circuference C = 2πr or C = πd Squre A = s 2 Rectngle A = bh tn A = opposite djcent Exponent Lws n n = n n = Prllelogr A = bh n = n, 0 Tringle A = 2 bh or n = + n Ê n Á ˆ Circle A = πr 2 n = n, 0 Surfce Are Ê ˆ n Á = n Right Pyrid ( b) = b SA = sê Ê perieter of bse 2 Á ˆ ˆ + ( bse re) Á b = b, b 0 Right Cylinder SA = 2πr 2 + 2πrh Right Cone SA = πr 2 + πrs Sphere SA = 4πr 2 Volue Right Rectngulr Pris V = wh Right Rectngulr Pyrid V = 3 wh Coordinte Geoetry Slope = rise run or Slope = y 2 y x 2 x Slope y-intercept for of line: y = x + b Slope point for of line: Right Cylinder V = πr 2 h y y = Ê Áx x ˆ Right Cone V = 3 πr2 h Generl for of line: Sphere V = 4 3 πr3 Ax + By + C = 0 4
10 ID: B Mesureent Test Answer Section MULTIPLE CHOICE ) A 2) D 3) A 4) A 5) B 6) A 7) D 8) D 9) D 0) C ) B 2) C 3) B SHORT ANSWER ) 38 2) 243 PROBLEM ) The surfce re of the coposite object is: = The surfce re of the coposite object is pproxitely 27 squre inches. OTHER ) Mth 0C Foruls
11 Ne: ID: C Mesureent Test Mth 0 C Dte: Multiple Choice Identify the choice tht best copletes the stteent or nswers the question. ) Which iperil unit is ost pproprite for esuring the length of ldder? A. Miles B. Inches C. Feet D. Yrds 2) A window is 27 in. high. Convert this height to the nerest centietre. A. 69 c B. c C. 7 c D. 5 c 3) Convert 29 in. to yrds, feet, nd inches. A. 3 yd. 0 ft. 3 in. B. 3 yd. 0 ft. 6 in. C. 9 yd. 0 ft. 3 in. D. 6 yd. 0 ft. 3 in. 4) Convert 32 i. to the nerest kiloetre. Use the conversion tht ile is bout.6 k. A. 44 k B. 5 k C. 20 k D. 56 k 5) Convert 6 yd. to inches. A. 72 in. B. 26 in. C. 8 in. D. 42 in. 6) Write proportion tht cn be used to convert 258 yrds to iles: A. yd. 760 i. = B. yd. 760 i. = 258 x C. 760 yds. = x i. 258 D. 760 yds. = 258 i. x 7) Using unit nlysis, write the setup tht would convert 7 inches to. A. 7 in. c 2.54 in. 00 c B. 7 in c 00 in. c C. 7 in. c in. c D. 7 in c in. 00 c 8) A sphere hs rdius 2.6 c. Wht is the volue of the sphere to the nerest tenth of cubic centietre? A c 3 B c 3 C. 995 c 3 D c 3
12 ID: C 9) This regulr tetrhedron hs height of 38.5 c nd bse re of 96 c². Clculte its volue to the nerest cubic centietre. 2) A sphere hs rdius 0. c. Wht is the surfce re of the sphere to the nerest tenth of squre centietre? A c 3 B c 3 C c 3 D c 3 0) Clculte the volue of this right squre pyrid to the nerest cubic foot. A. 90 c² B c² C c² D. 436 c² 3) An ice cre cone hs slnt height of 3.6 c nd rdius of 2. c. Deterine the volue of the ice cre cone to the nerest squre centietre. A. 70 cubic feet B. 60 cubic feet C. 48 cubic feet D. 80 cubic feet A. 8 c 3 B. 207 c 3 C. 3 c 3 D. 7 c 3 ) Clculte the volue of this right cone to the nerest tenth of cubic etre. A B C D
13 ID: C Nuericl Response ) Mesure the length of the rectngle using the inch ruler shown. Your nswer will be reduced frction. 2) A killer whle is 8.4 long. Convert this length to feet nd the nerest inch. Recording your nswer: exple: For length of 5 feet inches, record your nswer s 5 Recording your nswer: For length of 7 inch, record n nswer 2 s 72 For length of 7 inch, record n nswer 8 s 78 Proble ) The bse of this cone is to be glued to the circulr fce of the heisphere. Clculte the surfce re of the coposite object fored, to the nerest squre inch. [2 rks] 3
14 ID: C Mth 0C Forul Sheet ) Conversion Tble Iperil to Iperil Iperil to SI (Metric) 2 inches (in) = foot (ft) 2.54 c = in. 3 feet (ft) = yrd (rd) 760 yrds (yds) = ile (i).6 k = i. Right Tringles Pythgoren Theore 2 + b 2 = c 2 Perieter Trigonoetry rtios Squre P = 4s sin A = opposite hypotenuse Are Rectngle P = 2 + 2w cos A = djcent hypotenuse Circle Circuference C = 2πr or C = πd Squre A = s 2 Rectngle A = bh tn A = opposite djcent Exponent Lws n n = n n = Prllelogr A = bh n = n, 0 Tringle A = 2 bh or n = + n Ê n Á ˆ Circle A = πr 2 n = n, 0 Surfce Are Ê ˆ n Á = n Right Pyrid ( b) = b SA = sê Ê perieter of bse 2 Á ˆ ˆ + ( bse re) Á b = b, b 0 Right Cylinder SA = 2πr 2 + 2πrh Right Cone SA = πr 2 + πrs Sphere SA = 4πr 2 Volue Right Rectngulr Pris V = wh Right Rectngulr Pyrid V = 3 wh Coordinte Geoetry Slope = rise run or Slope = y 2 y x 2 x Slope y-intercept for of line: y = x + b Slope point for of line: Right Cylinder V = πr 2 h y y = Ê Áx x ˆ Right Cone V = 3 πr2 h Generl for of line: Sphere V = 4 3 πr3 Ax + By + C = 0 4
15 ID: C Mesureent Test Answer Section MULTIPLE CHOICE ) C 2) A 3) D 4) B 5) B 6) D 7) D 8) D 9) B 0) B ) D 2) C 3) A SHORT ANSWER ) 56 2) 277 PROBLEM ) The surfce re of the coposite object is: = The surfce re of the coposite object is pproxitely 0 squre inches. OTHER ) Mth 0C Foruls
Shape and measurement
C H A P T E R 5 Shpe nd mesurement Wht is Pythgors theorem? How do we use Pythgors theorem? How do we find the perimeter of shpe? How do we find the re of shpe? How do we find the volume of shpe? How do
l 2 p2 n 4n 2, the total surface area of the
Week 6 Lectures Sections 7.5, 7.6 Section 7.5: Surfce re of Revolution Surfce re of Cone: Let C be circle of rdius r. Let P n be n n-sided regulr polygon of perimeter p n with vertices on C. Form cone
Turn Up the Volume and Let s Bend Light Beams Volume and Surface Area of a Prism
CH 12 Test Review Turn Up the Volume and Let s Bend Light Beams Volume and Surface Area of a Prism Vocabulary Write the term from the box that best completes each statement bases of a prism lateral faces
What s in Chapter 13?
Are nd volume 13 Wht s in Chpter 13? 13 01 re 13 0 Are of circle 13 03 res of trpeziums, kites nd rhomuses 13 04 surfce re of rectngulr prism 13 05 surfce re of tringulr prism 13 06 surfce re of cylinder
Chapter 12. Lesson Geometry Worked-Out Solution Key. Prerequisite Skills (p. 790) A 5 } perimeter Guided Practice (pp.
Chpter 1 Prerequisite Skills (p. 790) 1. The re of regulr polygon is given by the formul A 5 1 p P, where is the pothem nd P is the perimeter.. Two polygons re similr if their corresponding ngles re congruent
9.5 Start Thinking. 9.5 Warm Up. 9.5 Cumulative Review Warm Up
9.5 Strt Thinking In Lesson 9.4, we discussed the tngent rtio which involves the two legs of right tringle. In this lesson, we will discuss the sine nd cosine rtios, which re trigonometric rtios for cute
resources Symbols < is less than > is greater than is less than or equal to is greater than or equal to = is equal to is not equal to
Symbols < is less than > is greater than is less than or equal to is greater than or equal to resources = is equal to is not equal to is approximately equal to similar a absolute value: = ; - = (x, y)
7-1: Zero and Negative Exponents
7-: Zero nd Negtive Exponents Objective: To siplify expressions involving zero nd negtive exponents Wr Up:.. ( ).. 7.. Investigting Zero nd Negtive Exponents: Coplete the tble. Write non-integers s frctions
An Introduction to Trigonometry
n Introduction to Trigonoetry First of ll, let s check out the right ngled tringle below. The LETTERS, B & C indicte the ngles nd the letters, b & c indicte the sides. c b It is iportnt to note tht side
Math 7, Unit 9: Measurement: Two-Dimensional Figures Notes
Mth 7, Unit 9: Mesurement: Two-Dimensionl Figures Notes Precision nd Accurcy Syllus Ojective: (6.) The student will red the pproprite mesurement tool to the required degree of ccurcy. We often use numers
Alg 3 Ch 7.2, 8 1. C 2) If A = 30, and C = 45, a = 1 find b and c A
lg 3 h 7.2, 8 1 7.2 Right Tringle Trig ) Use of clcultor sin 10 = sin x =.4741 c ) rete right tringles π 1) If = nd = 25, find 6 c 2) If = 30, nd = 45, = 1 find nd c 3) If in right, with right ngle t,
APPLICATIONS OF THE DEFINITE INTEGRAL
APPLICATIONS OF THE DEFINITE INTEGRAL. Volume: Slicing, disks nd wshers.. Volumes by Slicing. Suppose solid object hs boundries extending from x =, to x = b, nd tht its cross-section in plne pssing through
A LEVEL TOPIC REVIEW. factor and remainder theorems
A LEVEL TOPIC REVIEW unit C fctor nd reminder theorems. Use the Fctor Theorem to show tht: ) ( ) is fctor of +. ( mrks) ( + ) is fctor of ( ) is fctor of + 7+. ( mrks) +. ( mrks). Use lgebric division
Math Sequences and Series RETest Worksheet. Short Answer
Mth 0- Nme: Sequences nd Series RETest Worksheet Short Answer Use n infinite geometric series to express 353 s frction [ mrk, ll steps must be shown] The popultion of community ws 3 000 t the beginning
Math 154B Elementary Algebra-2 nd Half Spring 2015
Mth 154B Elementry Alger- nd Hlf Spring 015 Study Guide for Exm 4, Chpter 9 Exm 4 is scheduled for Thursdy, April rd. You my use " x 5" note crd (oth sides) nd scientific clcultor. You re expected to know
Level I MAML Olympiad 2001 Page 1 of 6 (A) 90 (B) 92 (C) 94 (D) 96 (E) 98 (A) 48 (B) 54 (C) 60 (D) 66 (E) 72 (A) 9 (B) 13 (C) 17 (D) 25 (E) 38
Level I MAML Olympid 00 Pge of 6. Si students in smll clss took n em on the scheduled dte. The verge of their grdes ws 75. The seventh student in the clss ws ill tht dy nd took the em lte. When her score
First Semester Review Calculus BC
First Semester Review lculus. Wht is the coordinte of the point of inflection on the grph of Multiple hoice: No lcultor y 3 3 5 4? 5 0 0 3 5 0. The grph of piecewise-liner function f, for 4, is shown below.
We divide the interval [a, b] into subintervals of equal length x = b a n
![We divide the interval [a, b] into subintervals of equal length x = b a n](/thumbs/80/80533932.jpg "We divide the interval [a, b] into subintervals of equal length x = b a n")
Arc Length Given curve C defined by function f(x), we wnt to find the length of this curve between nd b. We do this by using process similr to wht we did in defining the Riemnn Sum of definite integrl:
50. Use symmetry to evaluate xx D is the region bounded by the square with vertices 5, Prove Property 11. y y CAS
68 CHAPTE MULTIPLE INTEGALS 46. e da, 49. Evlute tn 3 4 da, where,. [Hint: Eploit the fct tht is the disk with center the origin nd rdius is smmetric with respect to both es.] 5. Use smmetr to evlute 3
MTH 4-16a Trigonometry
MTH 4-16 Trigonometry Level 4 [UNIT 5 REVISION SECTION ] I cn identify the opposite, djcent nd hypotenuse sides on right-ngled tringle. Identify the opposite, djcent nd hypotenuse in the following right-ngled
1 cos. cos cos cos cos MAT 126H Solutions Take-Home Exam 4. Problem 1
MAT 16H Solutions Tke-Home Exm 4 Problem 1 ) & b) Using the hlf-ngle formul for cosine, we get: 1 cos 1 4 4 cos cos 8 4 nd 1 8 cos cos 16 4 c) Using the hlf-ngle formul for tngent, we get: cot ( 3π 1 )
Test , 8.2, 8.4 (density only), 8.5 (work only), 9.1, 9.2 and 9.3 related test 1 material and material from prior classes
Test 2 8., 8.2, 8.4 (density only), 8.5 (work only), 9., 9.2 nd 9.3 relted test mteril nd mteril from prior clsses Locl to Globl Perspectives Anlyze smll pieces to understnd the big picture. Exmples: numericl
APPM 1360 Exam 2 Spring 2016
APPM 6 Em Spring 6. 8 pts, 7 pts ech For ech of the following prts, let f + nd g 4. For prts, b, nd c, set up, but do not evlute, the integrl needed to find the requested informtion. The volume of the
Form 5 HKCEE 1990 Mathematics II (a 2n ) 3 = A. f(1) B. f(n) A. a 6n B. a 8n C. D. E. 2 D. 1 E. n. 1 in. If 2 = 10 p, 3 = 10 q, express log 6
Form HK 9 Mthemtics II.. ( n ) =. 6n. 8n. n 6n 8n... +. 6.. f(). f(n). n n If = 0 p, = 0 q, epress log 6 in terms of p nd q.. p q. pq. p q pq p + q Let > b > 0. If nd b re respectivel the st nd nd terms
Mathematics 10C. UNIT ONE Measurement. Unit. Student Workbook. Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days
Mathematics 10C Student Workbook Unit 1 0 1 2 Lesson 1: Metric and Imperial Approximate Completion Time: 3 Days Lesson 2: Surface Area and Volume Approximate Completion Time: 2 Days hypotenuse adjacent
3.1 Review of Sine, Cosine and Tangent for Right Angles
Foundtions of Mth 11 Section 3.1 Review of Sine, osine nd Tngent for Right Tringles 125 3.1 Review of Sine, osine nd Tngent for Right ngles The word trigonometry is derived from the Greek words trigon,
Loudoun Valley High School Calculus Summertime Fun Packet
Loudoun Vlley High School Clculus Summertime Fun Pcket We HIGHLY recommend tht you go through this pcket nd mke sure tht you know how to do everything in it. Prctice the problems tht you do NOT remember!
I1.1 Pythagoras' Theorem. I1.2 Further Work With Pythagoras' Theorem. I1.3 Sine, Cosine and Tangent. I1.4 Finding Lengths in Right Angled Triangles
UNIT I1 Pythgors' Theorem nd Trigonometric Rtios: Tet STRAND I: Geometry nd Trigonometry I1 Pythgors' Theorem nd Trigonometric Rtios Tet Contents Section I1.1 Pythgors' Theorem I1. Further Work With Pythgors'
Year 12 Mathematics Extension 2 HSC Trial Examination 2014
Yer Mthemtics Etension HSC Tril Emintion 04 Generl Instructions. Reding time 5 minutes Working time hours Write using blck or blue pen. Blck pen is preferred. Bord-pproved clcultors my be used A tble of
Individual Events I3 a 10 I4. d 90 angle 57 d Group Events. d 220 Probability
Answers: (98-8 HKMO Finl Events) Creted by: Mr. Frncis Hung Lst updted: 8 Jnury 08 I 800 I Individul Events I 0 I4 no. of routes 6 I5 + + b b 0 b b c *8 missing c 0 c c See the remrk 600 d d 90 ngle 57
Practice Final. Name: Problem 1. Show all of your work, label your answers clearly, and do not use a calculator.
Nme: MATH 2250 Clculus Eric Perkerson Dte: December 11, 2015 Prctice Finl Show ll of your work, lbel your nswers clerly, nd do not use clcultor. Problem 1 Compute the following limits, showing pproprite
7.6 The Use of Definite Integrals in Physics and Engineering
Arknss Tech University MATH 94: Clculus II Dr. Mrcel B. Finn 7.6 The Use of Definite Integrls in Physics nd Engineering It hs been shown how clculus cn be pplied to find solutions to geometric problems
[ ( ) ( )] Section 6.1 Area of Regions between two Curves. Goals: 1. To find the area between two curves
![[ ( ) ( )] Section 6.1 Area of Regions between two Curves. Goals: 1. To find the area between two curves](/thumbs/74/70299306.jpg "[ ( ) ( )] Section 6.1 Area of Regions between two Curves. Goals: 1. To find the area between two curves")
Gols: 1. To find the re etween two curves Section 6.1 Are of Regions etween two Curves I. Are of Region Between Two Curves A. Grphicl Represention = _ B. Integrl Represention [ ( ) ( )] f x g x dx = C.
LUMS School of Science and Engineering
LUMS School of Science nd Engineering PH- Solution of ssignment Mrch, 0, 0 Brvis Lttice Answer: We hve given tht c.5(î + ĵ + ˆk) 5 (î + ĵ + ˆk) 0 (î + ĵ + ˆk) c (î + ĵ + ˆk) î + ĵ + ˆk + b + c î, b ĵ nd
Total Score Maximum
Lst Nme: Mth 8: Honours Clculus II Dr. J. Bowmn 9: : April 5, 7 Finl Em First Nme: Student ID: Question 4 5 6 7 Totl Score Mimum 6 4 8 9 4 No clcultors or formul sheets. Check tht you hve 6 pges.. Find
1.1 Reviewing the Exponent Laws
. Reviewing the Exponent Lws INVESTIGATE & INQUIRE An order of gnitude is n pproxite size of quntity, expressed s power of 0. The tble shows soe speeds in etres per second, expressed to the nerest order
Grade 11 Mathematics Practice Test
Grade Mathematics Practice Test Nebraska Department of Education 204 Directions: On the following pages are multiple-choice questions for the Grade Practice Test, a practice opportunity for the Nebraska
Exponents and Powers
EXPONENTS AND POWERS 9 Exponents nd Powers CHAPTER. Introduction Do you know? Mss of erth is 5,970,000,000,000, 000, 000, 000, 000 kg. We hve lredy lernt in erlier clss how to write such lrge nubers ore
Something found at a salad bar
Nme PP Something found t sld r 4.7 Notes RIGHT TRINGLE hs extly one right ngle. To solve right tringle, you n use things like SOH-H-TO nd the Pythgoren Theorem. n OLIQUE TRINGLE hs no right ngles. To solve
MDPT Practice Test 1 (Math Analysis)
MDPT Prctice Test (Mth Anlysis). Wht is the rdin mesure of n ngle whose degree mesure is 7? ) 5 π π 5 c) π 5 d) 5 5. In the figure to the right, AB is the dimeter of the circle with center O. If the length
Not for reproduction
AREA OF A SURFACE OF REVOLUTION cut h FIGURE FIGURE πr r r l h FIGURE A surfce of revolution is formed when curve is rotted bout line. Such surfce is the lterl boundry of solid of revolution of the type
Date Lesson Text TOPIC Homework. Solving for Obtuse Angles QUIZ ( ) More Trig Word Problems QUIZ ( )
UNIT 5 TRIGONOMETRI RTIOS Dte Lesson Text TOPI Homework pr. 4 5.1 (48) Trigonometry Review WS 5.1 # 3 5, 9 11, (1, 13)doso pr. 6 5. (49) Relted ngles omplete lesson shell & WS 5. pr. 30 5.3 (50) 5.3 5.4
Maintaining Mathematical Proficiency
Nme Dte hpter 9 Mintining Mthemtil Profiieny Simplify the epression. 1. 500. 189 3. 5 4. 4 3 5. 11 5 6. 8 Solve the proportion. 9 3 14 7. = 8. = 9. 1 7 5 4 = 4 10. 0 6 = 11. 7 4 10 = 1. 5 9 15 3 = 5 +
Math 1132 Worksheet 6.4 Name: Discussion Section: 6.4 Work
Mth 1132 Worksheet 6.4 Nme: Discussion Section: 6.4 Work Force formul for springs. By Hooke s Lw, the force required to mintin spring stretched x units beyond its nturl length is f(x) = kx where k is positive
Pretest. Explain and use formulas for lateral area, surface area, and volume of solids.
Pretest Please complete the pretest for this standard on your own. Try to remember all you can from our first discussion of this topic. Explain and use formulas for lateral area, surface area, and volume
2) Three noncollinear points in Plane M. [A] A, D, E [B] A, B, E [C] A, B, D [D] A, E, H [E] A, H, M [F] H, A, B
![2) Three noncollinear points in Plane M. [A] A, D, E [B] A, B, E [C] A, B, D [D] A, E, H [E] A, H, M [F] H, A, B](/thumbs/74/71214559.jpg "2) Three noncollinear points in Plane M. [A] A, D, E [B] A, B, E [C] A, B, D [D] A, E, H [E] A, H, M [F] H, A, B")
Review Use the points nd lines in the digrm to identify the following. 1) Three colliner points in Plne M. [],, H [],, [],, [],, [],, M [] H,, M 2) Three noncolliner points in Plne M. [],, [],, [],, [],,
TO: Next Year s AP Calculus Students
TO: Net Yer s AP Clculus Students As you probbly know, the students who tke AP Clculus AB nd pss the Advnced Plcement Test will plce out of one semester of college Clculus; those who tke AP Clculus BC
Faith Scholarship Service Friendship
Immcult Mthemtics Summer Assignment The purpose of summer ssignment is to help you keep previously lerned fcts fresh in your mind for use in your net course. Ecessive time spent reviewing t the beginning
Math 0230 Calculus 2 Lectures
Mth Clculus Lectures Chpter 7 Applictions of Integrtion Numertion of sections corresponds to the text Jmes Stewrt, Essentil Clculus, Erly Trnscendentls, Second edition. Section 7. Ares Between Curves Two
Coimisiún na Scrúduithe Stáit State Examinations Commission
M 30 Coimisiún n Scrúduithe Stáit Stte Exmintions Commission LEAVING CERTIFICATE EXAMINATION, 005 MATHEMATICS HIGHER LEVEL PAPER ( 300 mrks ) MONDAY, 3 JUNE MORNING, 9:30 to :00 Attempt FIVE questions
New Rochelle High School Geometry Summer Assignment
NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and
1 ELEMENTARY ALGEBRA and GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE
ELEMENTARY ALGEBRA nd GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE Directions: Study the exmples, work the prolems, then check your nswers t the end of ech topic. If you don t get the nswer given, check
Objective: Use the Pythagorean Theorem and its converse to solve right triangle problems. CA Geometry Standard: 12, 14, 15
Geometry CP Lesson 8.2 Pythgoren Theorem nd its Converse Pge 1 of 2 Ojective: Use the Pythgoren Theorem nd its converse to solve right tringle prolems. CA Geometry Stndrd: 12, 14, 15 Historicl Bckground
SAINT IGNATIUS COLLEGE
SAINT IGNATIUS COLLEGE Directions to Students Tril Higher School Certificte 0 MATHEMATICS Reding Time : 5 minutes Totl Mrks 00 Working Time : hours Write using blue or blck pen. (sketches in pencil). This
/ 3, then (A) 3(a 2 m 2 + b 2 ) = 4c 2 (B) 3(a 2 + b 2 m 2 ) = 4c 2 (C) a 2 m 2 + b 2 = 4c 2 (D) a 2 + b 2 m 2 = 4c 2
SET I. If the locus of the point of intersection of perpendiculr tngents to the ellipse x circle with centre t (0, 0), then the rdius of the circle would e + / ( ) is. There re exctl two points on the
1 ELEMENTARY ALGEBRA and GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE
ELEMENTARY ALGEBRA nd GEOMETRY READINESS DIAGNOSTIC TEST PRACTICE Directions: Study the exmples, work the prolems, then check your nswers t the end of ech topic. If you don t get the nswer given, check
2 Calculate the size of each angle marked by a letter in these triangles.
Cmridge Essentils Mthemtics Support 8 GM1.1 GM1.1 1 Clculte the size of ech ngle mrked y letter. c 2 Clculte the size of ech ngle mrked y letter in these tringles. c d 3 Clculte the size of ech ngle mrked
221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM
Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked
THE KENNESAW STATE UNIVERSITY HIGH SCHOOL MATHEMATICS COMPETITION PART I MULTIPLE CHOICE NO CALCULATORS 90 MINUTES
THE 08 09 KENNESW STTE UNIVERSITY HIGH SHOOL MTHEMTIS OMPETITION PRT I MULTIPLE HOIE For ech of the following questions, crefully blcken the pproprite box on the nswer sheet with # pencil. o not fold,
ES.182A Topic 32 Notes Jeremy Orloff
ES.8A Topic 3 Notes Jerem Orloff 3 Polr coordintes nd double integrls 3. Polr Coordintes (, ) = (r cos(θ), r sin(θ)) r θ Stndrd,, r, θ tringle Polr coordintes re just stndrd trigonometric reltions. In
MONROE COMMUNITY COLLEGE ROCHESTER, NY MTH 104 INTERMEDIATE ALGEBRA DETAILED SOLUTIONS. 4 th edition SPRING 2010
MONROE COMMUNITY COLLEGE ROCHESTER, NY * MTH 04 INTERMEDIATE ALGEBRA FINAL EXAM REVIEW DETAILED SOLUTIONS * 4 th edition SPRING 00 Solutions Prepred by Prof. Jn (Yhn) Wirnowski Evlute the function in problems:
Section 13.1 Right Triangles
Section 13.1 Right Tringles Ojectives: 1. To find vlues of trigonometric functions for cute ngles. 2. To solve tringles involving right ngles. Review - - 1. SOH sin = Reciprocl csc = 2. H cos = Reciprocl
IV. CONDENSED MATTER PHYSICS
IV. CONDENSED MATTER PHYSICS UNIT I CRYSTAL PHYSICS Lecture - II Dr. T. J. Shinde Deprtment of Physics Smt. K. R. P. Kny Mhvidyly, Islmpur Simple Crystl Structures Simple cubic (SC) Fce centered cubic
MORE FUNCTION GRAPHING; OPTIMIZATION. (Last edited October 28, 2013 at 11:09pm.)
MORE FUNCTION GRAPHING; OPTIMIZATION FRI, OCT 25, 203 (Lst edited October 28, 203 t :09pm.) Exercise. Let n be n rbitrry positive integer. Give n exmple of function with exctly n verticl symptotes. Give
Math 1102: Calculus I (Math/Sci majors) MWF 3pm, Fulton Hall 230 Homework 2 solutions
Mth 1102: Clculus I (Mth/Sci mjors) MWF 3pm, Fulton Hll 230 Homework 2 solutions Plese write netly, nd show ll work. Cution: An nswer with no work is wrong! Do the following problems from Chpter III: 6,
( ) ) in 2 ( ) ) in 3
Chapter 1 Test Review Question Answers 1. Find the total surface area and volume of a cube in which the diagonal measures yards. x + x ) = ) x = x x A T.S. = bh) = ) ) = 1 yd V = BH = bh)h = ) ) ) = yd.
PROPERTIES OF AREAS In general, and for an irregular shape, the definition of the centroid at position ( x, y) is given by
PROPERTES OF RES Centroid The concept of the centroid is prol lred fmilir to ou For plne shpe with n ovious geometric centre, (rectngle, circle) the centroid is t the centre f n re hs n is of smmetr, the
Right Circular Cylinders A right circular cylinder is like a right prism except that its bases are congruent circles instead of congruent polygons.
Volume-Lateral Area-Total Area page #10 Right Circular Cylinders A right circular cylinder is like a right prism except that its bases are congruent circles instead of congruent polygons. base height base
Algebra & Functions (Maths ) opposite side
Instructor: Dr. R.A.G. Seel Trigonometr Algebr & Functions (Mths 0 0) 0th Prctice Assignment hpotenuse hpotenuse side opposite side sin = opposite hpotenuse tn = opposite. Find sin, cos nd tn in 9 sin
fcat first semester final. circle the best answer. show any work on test.
Name: Class: Date: ID: A fcat first semester final. circle the best answer. show any work on test. 1. Solve the proportion. 5 34 = x 340 a. 170 b. 2312 c. 10 d. 50 State whether the number is prime, composite,
TImath.com Algebra 2. Constructing an Ellipse
TImth.com Algebr Constructing n Ellipse ID: 9980 Time required 60 minutes Activity Overview This ctivity introduces ellipses from geometric perspective. Two different methods for constructing n ellipse
Time : 3 hours 03 - Mathematics - March 2007 Marks : 100 Pg - 1 S E CT I O N - A
Time : hours 0 - Mthemtics - Mrch 007 Mrks : 100 Pg - 1 Instructions : 1. Answer ll questions.. Write your nswers ccording to the instructions given below with the questions.. Begin ech section on new
English Metric Conversions
English etric onversions Nme Use the chrt nd clcultor to convert ech mesurement. Be sure to show our work. Round nswers to the nerest hundredth if needed. 1) 1 in cm ) 4 lbs kg ) g oz 4) 40 km mi ) 00
Lecture 0. MATH REVIEW for ECE : LINEAR CIRCUIT ANALYSIS II
Lecture 0 MATH REVIEW for ECE 000 : LINEAR CIRCUIT ANALYSIS II Aung Kyi Sn Grdute Lecturer School of Electricl nd Computer Engineering Purdue University Summer 014 Lecture 0 : Mth Review Lecture 0 is intended
Sect 10.2 Trigonometric Ratios
86 Sect 0. Trigonometric Rtios Objective : Understnding djcent, Hypotenuse, nd Opposite sides of n cute ngle in right tringle. In right tringle, the otenuse is lwys the longest side; it is the side opposite
REVIEW SHEET FOR PRE-CALCULUS MIDTERM
. If A, nd B 8, REVIEW SHEET FOR PRE-CALCULUS MIDTERM. For the following figure, wht is the eqution of the line?, write n eqution of the line tht psses through these points.. Given the following lines,
Essential Question What conjectures can you make about perpendicular lines?
3. roofs with erpendiculr Lines Essentil Question Wht conjectures cn ou ke out perpendiculr lines? Writing onjectures Work with prtner. Fold piece of pper in hlf twice. Lel points on the two creses, s
a < a+ x < a+2 x < < a+n x = b, n A i n f(x i ) x. i=1 i=1
Mth 33 Volume Stewrt 5.2 Geometry of integrls. In this section, we will lern how to compute volumes using integrls defined by slice nlysis. First, we recll from Clculus I how to compute res. Given the
Nat 5 USAP 3(b) This booklet contains : Questions on Topics covered in RHS USAP 3(b) Exam Type Questions Answers. Sourced from PEGASYS
Nt USAP This ooklet contins : Questions on Topics covered in RHS USAP Em Tpe Questions Answers Sourced from PEGASYS USAP EF. Reducing n lgeric epression to its simplest form / where nd re of the form (
Mathematics Chart LENGTH
Mathematics Chart LENGTH Metric Customar kilometer = 000 meters mile = 0 ards meter = 00 centimeters mile = 0 feet centimeter = 0 millimeters ard = feet foot = inches CAPACITY AND VOLUME Metric Customar
MA 131 Lecture Notes Calculus Sections 1.5 and 1.6 (and other material)
MA Lecture Notes Clculus Sections.5 nd.6 (nd other teril) Algebr o Functions Su, Dierence, Product, nd Quotient o Functions Let nd g be two unctions with overlpping doins. Then or ll x coon to both doins,
Algebra II Notes Unit Ten: Conic Sections
Syllus Ojective: 10.1 The student will sketch the grph of conic section with centers either t or not t the origin. (PARABOLAS) Review: The Midpoint Formul The midpoint M of the line segment connecting
Pythagoras Theorem. Pythagoras
11 Pythgors Theorem Pythgors Theorem. onverse of Pythgors theorem. Pythgoren triplets Proof of Pythgors theorem nd its converse Problems nd riders bsed on Pythgors theorem. This unit fcilittes you in,
Math 113 Exam 2 Practice
Mth 3 Exm Prctice Februry 8, 03 Exm will cover 7.4, 7.5, 7.7, 7.8, 8.-3 nd 8.5. Plese note tht integrtion skills lerned in erlier sections will still be needed for the mteril in 7.5, 7.8 nd chpter 8. This
ES 111 Mathematical Methods in the Earth Sciences Lecture Outline 1 - Thurs 28th Sept 17 Review of trigonometry and basic calculus
ES 111 Mthemticl Methods in the Erth Sciences Lecture Outline 1 - Thurs 28th Sept 17 Review of trigonometry nd bsic clculus Trigonometry When is it useful? Everywhere! Anything involving coordinte systems
1. Use. What are the vertices of A.,, B.,, C.,, D.,,
1. Use. What are the vertices of A.,, B.,, C.,, D.,, 2. Given, how are the distances to the origin from each image point related to the distance to the origin from each corresponding preimage point? A.
Pre-AP Geometry Worksheet 5.2: Similar Right Triangles
! re-a Geometr Worksheet 5.2: Similr Right Tringles Nme: te: eriod: Solve. Show ll work. Leve nswers s simplified rdicls on #1-5. For #6, round to the nerer tenth. 12!! 6! 1) =! 8! 6! 2) = 18! 8! w!+!9!
LESSON 2: TRIANGULAR PRISMS, CYLINDERS, AND SPHERES. Unit 9: Figures and Solids
LESSON 2: TRIANGULAR PRISMS, CYLINDERS, AND SPHERES Unit 9: Figures and Solids base parallel two The sum of the area of the lateral faces (al sides except for the bases) The sum of all the area (lateral
10.2 The Ellipse and the Hyperbola
CHAPTER 0 Conic Sections Solve. 97. Two surveors need to find the distnce cross lke. The plce reference pole t point A in the digrm. Point B is meters est nd meter north of the reference point A. Point
Sample Problems for the Final of Math 121, Fall, 2005
Smple Problems for the Finl of Mth, Fll, 5 The following is collection of vrious types of smple problems covering sections.8,.,.5, nd.8 6.5 of the text which constitute only prt of the common Mth Finl.
Right Triangle Trigonometry
44 CHPTER In Exercises 9 to 96, find the re, to the nerest squre unit, of the sector of circle with the given rdius nd centrl ngle. 9. r = inches, u = p rdins nerest 0 miles, the given city is from the
Alg. Sheet (1) Department : Math Form : 3 rd prep. Sheet
Ciro Governorte Nozh Directorte of Eduction Nozh Lnguge Schools Ismili Rod Deprtment : Mth Form : rd prep. Sheet Alg. Sheet () [] Find the vlues of nd in ech of the following if : ) (, ) ( -5, 9 ) ) (,
8Similarity ONLINE PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8.
8.1 Kick off with S 8. Similr ojects 8. Liner scle fctors 8Similrity 8.4 re nd volume scle fctors 8. Review Plese refer to the Resources t in the Prelims section of your eookplus for comprehensive step-y-step
Mathematics Extension Two
Student Number 04 HSC TRIAL EXAMINATION Mthemtics Etension Two Generl Instructions Reding time 5 minutes Working time - hours Write using blck or blue pen Bord-pproved clcultors my be used Write your Student
from X to GH. 17. What is the distance from M(9, 4) to N( 1, 2)? of A?geometry Review #1 for MP3 Exam A If MX 21.6, find LZ and MW.
Nme te _ lss GJ. Find m JX dtnce Eplin ngles re similr. why. Foundtions for. from X G. continued PQR UTS 0. mesure twice mesure 7. Wht dtnce from M9 ) its complement. Wht N ) Nme:_ mesure geometry Review
x means to use x as a factor five times, or x x x x x (2 c ) means to use 2c as a factor four times, or
14 DAY 1 CHAPTER FIVE Wht fscinting mthemtics is now on our gend? We will review the pst four chpters little bit ech dy becuse mthemtics builds. Ech concept is foundtion for nother ide. We will hve grph
10 If 3, a, b, c, 23 are in A.S., then a + b + c = 15 Find the perimeter of the sector in the figure. A. 1:3. A. 2.25cm B. 3cm
HK MTHS Pper II P. If f ( x ) = 0 x, then f ( y ) = 6 0 y 0 + y 0 y 0 8 y 0 y If s = ind the gretest vlue of x + y if ( x, y ) is point lying in the region O (including the boundry). n [ + (n )d ], then
SECTION 9-4 Translation of Axes
9-4 Trnsltion of Aes 639 Rdiotelescope For the receiving ntenn shown in the figure, the common focus F is locted 120 feet bove the verte of the prbol, nd focus F (for the hperbol) is 20 feet bove the verte.
8Similarity UNCORRECTED PAGE PROOFS. 8.1 Kick off with CAS 8.2 Similar objects 8.3 Linear scale factors. 8.4 Area and volume scale factors 8.
8.1 Kick off with S 8. Similr ojects 8. Liner scle fctors 8Similrity 8. re nd volume scle fctors 8. Review U N O R R E TE D P G E PR O O FS 8.1 Kick off with S Plese refer to the Resources t in the Prelims
Definition of a Differential. Finding an expression for dy given f (x) If y = 4x 3 2x 3 then find an expression for dy.
Section 4 7 Differentials Definition of a Differential Let y = f (x) represent a function that is differentiable on an open interval containing x. The derivative of f (x) is written as f (x) = We call