### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Calculus For Technology II MA 22200

Purdue

GPA 3.97

### View Full Document

## 90

## 0

## Popular in Course

## Popular in Mathematics (M)

This 7 page Study Guide was uploaded by Dorothea Bode on Saturday September 19, 2015. The Study Guide belongs to MA 22200 at Purdue University taught by Staff in Fall. Since its upload, it has received 90 views. For similar materials see /class/208128/ma-22200-purdue-university in Mathematics (M) at Purdue University.

## Reviews for Calculus For Technology II

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/19/15

Purdue University Study Guide for MA 222 For students who plan to obtain credit in MA 221 by examination Textbook Technical Calculus 4th edition by Peter Kuh ttig3 BrooksCole When you are ready for the examination obtain the proper form from your academic advisor Follow the instructions on the form To prepare for the exam you should obtain from the MA 222 course web page or the Undergraduate Services Of ce MATH 242 1 The assignment sheet 2 The nal exam practice problems 3 The nal exam formula page The address of the course web page is httpwww mothpurdoe edccourscsma222 The assignment sheet lists the sections of the text that are covered in the course The homework problems from the assignment sheet and the nal exam practice problems pro vide good preparation for the examination The nal exam formula page will be attached to the exam A calculator with exponential logarithmic and trigonometric functions will be needed for the exam Any brand of oneline calculator may be used However no multiline calculators are allowed Cell phones and PDA S may not be used as a calculator MA 222 Assignment Sheet Fall 2006 Text Technical Calculus with Analvtic Geometerv by Peter Kuh ttig Fourth Edition BrooksCole 2005 A calculator with trigonometric and logarithmic functions and their inverses is required Calculators may be used when appropriate on the assignments below Graphing calculators or programmable calculators may not be used on quizzes or exams Lessons Sections Assignment 1 61 3 Review p218 717213538 p222 9213358 p251 910 2 66 p232 147 11 14 1520 22 232528 30 33 38 434647 3 67 p237 28131516222832 4 68 p240 167 17 18 2021 2530 45 5 610 p247 13710131617 6 71 p254 145 67 9 12 132532 7 72 p257 347 10 15 19 20 29 3848 50 8 73 p260 23 9 10 17 22 28 31 33 3442 9 78 p287 125 9 10 12 10 78 p288 18 19 20 21 22 Just give the partial fraction expansion Do not integrate 11 REVIEW FOR EXAM 1 12 EXAM 1 IN CLASS 13 79 p290 123 4 7 8 11 12 14 79 p290 13 14 17 19 22 2427 28 15 p291 Review Exercises 1 2 57 10 11 13 22 26 41 16 101 p365 124 57 10 12 1520 17 103 p376 1258 12 18 104 p380 14 5 7 9 12 13 14 18 19 105 p386 145 9 12 13 14 20 105 p386 15 17 1921 25 27 21 106 p397 1234 22 106 p397 5678 p398 26 23 111 p402 245 9 13 15 18 20 24 77CATCH UP77 ANDOR STRUCTURED REVIEW FOR EXAM 2 25 OPTIONAL REVIEW FOR EXAM 2 EVENING EXAM 26 112 p407 158 9 11 13 15 2133 3536 27 113 p412 2591215252936 28 114 p419 367 8 12 13 29 114 p419 14 16 1522 24 26 30 121 p431 247 9 11 12 14 2930 31 122 p434 1451011151721454647 32 123 p440 15781014 15 1620 33 123 p441 21 242527 2930353740 34 124 p449 1 23 4 5 9 10 11 14 15 16 35 p450 Review Exercises 48 12 15 1721 22 25 36 REVIEW FOR EXAM 3 37 EXAM 3 IN CLASS 38 1317 3 p459 23 5 7 10 12 39 1317 3 p459 14 16 1920 21 24 40 1317 3 p459 37 38 3942 45 48 41 134 p464 157 8 11 12 14 42 134 p464 16 17 18 19 21 2428 43 REVIEW FOR FINAL EXAM 44 REVIEW FOR FINAL EXAM MA 222 Final Exam Practice Problems The Table of Integrals pages 481 484 of the text and the Formula Page may be used They will be attached to the nal exam H H H to H to 03 U a T 00 to O 03 Find f 7r2 if m The velocity of an object falling through a resisting medium is given by v 1001 7 e 7 sin2z m A 727r B 747139 C 27r D 7139 E 7r8 dy lf 1 th 7 y nsecm en dm A cosz B lnsecztanz C sinz D tanm E secz Express as a single logarithm ln 3 7 ln A 1mm 72 B1ngz G 1mm D ln3m7 g E lnm If y ea 2 calculate y 2 2 2 A 2m B 52 C 25 1 D 2me2 E e If y ln x 1 calculate y 1 2m m 1 A 7 B 7 C 7 D 7 xm21 xm21 m21 2m21 Find an equation for the tangent line to the curve 5y 2 2 at the point 1 0 Aym71By2m72 Cy72z2 Dy7m1Ey72x72 E None of these Find the maximum value of the function x 2 ln2m A 1B 52 C 25 D 2 E 25 Which of the following best describes the function y lnz 7 z A There is a relative minimum at z 1 and the curve is concave down for all z gt 0 B There is a relative maximum at z 1 and the curve is concave down for all z gt 0 C There is a relative maximum at z 1 the curve is concave down for 0 lt z lt 1 and concave up for z gt 1 D There is a relative minimum at z 1 the curve is concave down for 0 lt z lt 1 and concave up for z gt 1 E None of these 7000115 Find the acceleration when t 100 Give your answer correct to two decimal places A 009 B 952 C 9048 D 038 E 114 Find 3 ify mcos 2x A 7m sin 2x cos 2x B 72msin 2x cos 2x C x sin 2x cos 2x D 2x sin 2x cos 2x E 72 sin 2x cos 2x Evaluate ii Hm Azlnl17m2lC B217m20 07ln117m2l0 D7172C ENoneof these Evaluate31dm m 17 A6lnlz5llnlz1l0 B31nz2lnlzlC c31nlz2zl0 D1nz7lnlz1l0 E lnlz2llnlm1l0 Evaluate Give your answer correct to 3 decimal places 2 dz 1 935274 MA 222 H H7 H U H a H T H 00 H to to O to H to to Final Exam Practice Problems A 0800 B 0267 C 2401 D 0928 E 0743 3 Evaluate xEln zdm Give your answer correct to 2 decimal places A 194 B1150 C 7021 D 101 E 127 Evaluate A 7sin4 3mcos 3x 7 cos 3msin2 3x 2 C B 71178cos6 3x C C 7sin4 3zcosz z 7 i sin 6x 1 sin12z C D 7171Esin4 3zcos 3x 7 cos 3msin2 3x 2 C E None of these sin5 3x dz using a reduction formula Find the area of the region bounded by the graph of y sin 2m the z axis7 and the lines z 0 and z A 2 B 1 C 0 D l E 2 4 Find the rst three non zero terms of the Maclaurin series of fz x1 1 3m A 1 3x7gm2 B 1x13x7 13z C 1 ix7 m2 D 1 gx13m7 g13x E 1 gm7 z2 Using the Maclaurin series ln1 z z 7 if 1 z3 7 lz if 7 nd the minimum number of terms required to calculate ln13 so that the error is g 0001 A2 B3 04 D5 E6 Find the rst three non zero terms in the Taylor series for fz sin A 1 00 WE 7 7 95 7 32 13190 2907 7 3907 a 0190 7 7 90 7 33 00 7 35 D 1 7 7105 7 321 E None of these 03 Approximate cos dz using three terms of the appropriate Maclaurin series Give your answer correct to 4 decimal places A 08538 B 02779 G 09553 D7 02955 E 01863 If f is a periodic function of period 27139 and 0 for77r zlt0 1for0 z 0 forgltm 7r 1W calculate the rst three non zero terms of the Fourier series for That is7 the rst three non zero terms in the series a0 a1 cosz 1 b1 sinz a2 cos 2x 1 2 sin 2x 1 A gcosmsinz B icosz7 sinz C i 7 gcosz cos2z D Z icosz isinm E None of these Find the general solution of the differential equation y2dz m 12dy 0 1 Am15y30 B CClnlz1llnlylC 7171 1 D2m12yC Em7C y 1 23 Find the particular solution of the differential equation 3 7y z2 where y 2 when x 1 1 2 MA 222 2 q 2 U 2 a 2 1 2 00 2 to DJ O Calculate the inverse Laplace transform of Find the Laplace transform of the solution of the differential equation 3 1 2y 5 Final Exam Practice Problems m4 7 m3 5 m3 7 m3 7 Ayj1 Byg CyIE Dyj1 ENoneofthese Find the particular solution of the differential equation y y 7 6y 0 where y 0 and y71whenm0 A y 752573 352 B y 72530 3572 C y D y 753E 1 5 2 E None of these 757302 520 Find the general solution of the differential equation D2y 7 Dy 1 y O A y 0151 2 0251 lw2 B y e 01 sin3m2 02 cos3z2 C y e cl sin3m 02 cos3z D y sac2 01 sin3z2 02 cos3z2 E None of these Find the equation of the orthogonal trajectories of the curves y czf A 156z3y1 Bz25y2c Cy 1 1 4 15 6 D glnlyllnlmlic E Scym 771 Find the equation of the curve for which the slope at any point z y is z y and Which passes through the point 07 1 Ay25 7x71l3ye z2 Cy7x1Dy2e 7x71Eye z An object moves with simple harmonic motion according to the equation 2172 64x 0 Find the displacement x as a function oft if z 4 and Z7 3 when t O A z 4sin8t cos8t B x 3sin8t 4cos8t C x 6731 sin64t 4cos64t D x gsinSt 4cos8t E z 8sin8t 4cos8t Find the general solution of the differential equation D2y 8Dy 16y O A y 6167462574w B y 61646264w C y clei4w02574w D y cl sin 4m62 cos 4m E y 0154 3267406 Calculate the Laplace transform of 25 5 sin 4t 8 2 D E s3s216 832 16 A39 039 373216 23 B 373216 532 16 s2 33 7 4 A 1710454 5 7 at B 45 4t at C 615 e t D 45 e t E None of these Calculate the Laplace transform of the expression y 7 33 2y7 where y m7 f0 71 and f 0 2 A 8273s2Lf B 32Lfs72 C 3273s2Lfs71D 3273s2Lfs1 E 3273s2Lfs75 2t y02 39lts2gt2 1 2 1 2 1 1 2 7 C7 7 D7 7 E7 s2 s2s22 872s722 s722 Use Laplace transforms to solve the differential equation y 1 9y 3t y0 17 y 0 71 Ayt7gsin3tcos3t Byt717sin3tcos3t Cy4cos3t7sin3t D ycos3t7 sin3t E None ofthese Use Laplace transforms to solve the differential equation D2y 7 2Dy y at 240 0720 0 A y 2t2et B y i295 C y 265 D y t2e t E y 22kg 3 MA 222 Final Exam Practice Problems 8 36 If f8 S 7128 2 B and C are constants A C B A B C A3 B3 C3 3931 31 32 39312 32 3931 312 32 A B A B D7 7 E7 31 312 32 3931 32 which of the following is the partial fraction expansion of f3 A7 37 A body whose temperature is 30 C is placed in a room whose temperature is 5 C After two minutes the temperature of the object has dropped to 27 C How long will it take for the temperature to drop tp 15 C A 935 min B 125 min C 1434 min D 862 min E 1733 min 38 If the current in an AC circuit is given by 2 cost sin 25 then the rst maximum of the current aftert0is A2A n A C1A D2A EgA 3 to A certain radioactive substance decays according to the law N 65 2 5 where N in kilograms is the amount present and t is the time in years Find the time rate of change of N with respect to if when t 27 rounded to the nearest hundredth A 022 B 002 C 002 D 022 E 0012 4 O F7 if you know that 5t E 07 and 2 10 and q 0 when t 0 A 100 cos 10t B 10 cos 1007f C 01sin100t D 100 Sin 1075 E 10 sin 1007f Answers 1 B 2 D 3 E 4 A 5 C 6 C 7 E 8 B 9 A 10 B 11 D 12 E 13 B 14 A 15 D Find the current7 i as a function of time7 t for a LG circuit with L 1 H and C 10 x 10 4 16 B17 E 18 c 19 A 20 B 21 D 22 B 23 c 24 A 25 D 26 B 27 D 28 D 29 A 30 B 31 B 32 E 33 c 34 A 35 c 36 D 37 c 38 D 39 A 40 B MA 222 FORMULAS Table of Laplace Transforms ft F8 ft F8 1 n 1 1 9 t at 7 3 e 3 an1 1 02 2 t 10 1 7 t 32 005a 882 112 71 03 3 t 11 t7 i t 8n1 1 sma 3232 a2 1 2 3 4 eat 12 sin at 7 at cos at L s 7 a 82 022 2 5 sin at L 13 tsin at i 32 02 82 022 6 t 8 14 t t t 2032 cosa sma a cosa 32 02 82 022 I 32 7 02 t 7 6 Sin bt m 15 tcosat m t s 7 a 8 6 cos bt m Laplace Transforms of Derivatives Ly 3Ys 7 3107 Ly 3213 7 3110 7 yO Where Ys Linear differential equations y PIy has solution y Where yef 13mm fQIefPzdzdIO Taylor Series fc fcx 7 c 7 c2 I 7 c Maclaurin Series f0 f0I flO 272 w 273 W I 2 339 Examples 12 I x4 x3 I5 ex1x y1u forallx7 smxx7yi7 forallx7 2 3 4 2 4 ln1xx7iu 71lt27 17 005117Z 7 forallx Fourier Series If f is periodic with period 2 00 Trt 27rt m39rt ft alcos agcos ancos 2 p p I Trt 27rt m39rt blsin bgsm bnsm P P P Where P P P a0 3 ftdt an 1 ftcos quotit dt 71 0 12 3 ftsin quotit dt 17 p p p p p p p

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over $600 per month. I LOVE StudySoup!"

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.