### Create a StudySoup account

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

Already have a StudySoup account? Login here

# 516 Study Guide for MA 15300 at Purdue

### View Full Document

## 97

## 0

## Popular in Course

## Popular in Department

This 18 page Study Guide was uploaded by an elite notetaker on Friday February 6, 2015. The Study Guide belongs to a course at Purdue University taught by a professor in Fall. Since its upload, it has received 97 views.

## Similar to Course at Purdue

## Reviews for 516 Study Guide for MA 15300 at Purdue

### 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: 02/06/15

PURDUE UNIVERSITY STUDY GUIDE FOR COLLEGE ALGEBRA ANDOR TRIGONOMETRY MA 153 or 154 For Students Who Plan To Obtain Credit In MA 153 or 154 By Examination This study guide describes briefly the topics one should master before one attempts to take the examination in Algebra and0r Trigonometry This material can be found in many currently available textbooks many of which are entitled Algebra and Trigonometry or Precalculus Mathematics The outline that follows is based on the text Algebra and Trigonometry with Analytic Geometry Classic 11th edition by Earl W Swokowski and Jeffery A Cole Brooks Cole Publishing Co 2005 IMPORTANT 1 If you plan to establish credit by examination read this material thoroughly Study all of the material listed in the outline 2 3 Work many practice problems 4 When you feel you are prepared for it take the sample examination 5 When you believe your preparation to be completed go to your academic advisor obtain a credit exam request form and follow the instructions given therein 6 A scienti c calculator is required when you take the exam singleline display non programmable nongraphing PART I MA 153 FUNDAMENTAL CONCEPTS OF ALGEBRA real numbers coordinate lines in tegral exponents radicals rational exponents polynomials and algebraic expressions factoring fractional expressions EQUATIONS AND INEQUALITIES linear equations quadratic equations miscel laneous equations inequalities applications FUNCTIONS coordinate systems in two dimensions properties of functions graphs linear functions composition of functions inverse functions variation POLYNOMIAL FUNCTIONS operations on polynomials quadratic functions poly nomial functions of degree greater than 2 graphs EXPONENTIAL AND LOGARITHMIC FUNCTIONS exponential functions loga rithmic functions properties of logarithms and exponents exponential and logarithmic equations SYSTEMS OF EQUATIONS AND INEQUALITIES systems of equations systems of linear equations in two variables PAIcrIIr4A154 THE TRIGONOMETRIC FUNCTIONS the trigonometric functions angles in ra dians and degrees trigonometric functions of angles values of the trigonometric func tions graphs of the trigonometric functimis additional graphical techniques applica tions involving right triangles ANALYTIC TRIGONOMETRY the fundamental identities trigonometric identities trigonometric equations the addition formulas multiple angle formulas sum and product formulas the inverse trigonometric functions the law of Sines the law of cosines vectors COMPLEX NUMBERS de nition of compleic numbers operations on complex num bers complex roots of equations trigonometric form for complex numbers ADDITIONAL TOPICS rational functions conic sections5 polar coordinates and parametric equations A table of formulas is included for PART II Some sample questions are attached 0505 10 11 Simplify Divide and simplify Write without negative exponents Simplify by rationalizing the denominator 2 MA 153 PRACTICE QUESTIONS FOR THE FINAL 801 E 1 2 A 23 E 2 C 32 D 8 E None of the above Factor 1612 m 438 A 43 342 y B 41 234 C 42x mm if D 429 32 E None of th above 404118 quotdig Simplify c2 All letters denote positive real numbers I Zagb 1453 c 262b4c c 1602 D 2a2b4 E None of the above 33 1 Subtract and sunphfy 3x 1 a w 2 222 1 M332 43 21 39 3x 1x 2 39 33 1X3 2 0 31 11 2 D39 31 1x 2 E None of the above 15 2 m2 2 62 25037 132 9 39 33 C 33 1 39axi l 39z1 39x3 a 2 a 32a 3 A E None of the above A job takes 4 hours for two people working together If one person works alone he can do the job in 6 hours How long will it take the other person working alone to complete the job A 4 hrs B 6 hrs C 8 hrs D 10 hrs E None of the above xy 1 2 2quot1 39 C a y D 3 E None of the above my 33 J5 x5 MEL3 7 2 A 1ay B 1 39ay A 32 ce a D 2 E Let a and y be two consecutive positive integers such that a is less than 3 and the difference of their squares is 145 Find 3 A 73 B 3392 C 12 D 8 E None of the above If A PU rt then t A A quot P B A P C i 11 E None of the above A truck enters a freeway traveling 40 mph One hour later a car enters the same freeway traveling 55 mph After how many miles will the car overtake the truck A 146 miles E 201 miles 3 120 miles D 106 E None of the above 12 13 14 15 16 17 18 19 20 21 22 23 24 A square of side a is inscribed in a circle Express the area A of the circle as a function of 3 A A 1 35 2 B A 32 C A 2 D A vii32 E None of the above 4 10 1 Solveforp 2p3 4199 2p3 A p B p m g C There is no solution D p z E None of the above How many ml of a 50 acid solution should be added to 40 ml of a 20 acid solution to obtain a solution that is 25 acid A 10 101 B 8 m1 C 6 m1 D 4 m E None of the above Solve for a x y 14 5x Az3x14 B32r Gnu 2 D42214 ENoneoftheabove Find all solutions m4 m2 6 0 A m 2 3 B m z 2 if C m izxg 172139 D m i tx i E None of the above Solve the inequality and express the solution in terms of intervals 31 2 gt 63 1 A 00 1 B 11 C 00 1 D 1oo E None of the above Solve the inequaiity I 6 22 3 3 Aazg 1323 C ggxgg D wgngg E Noneoftheabove Find all values of is so that the solutions of the following equation are real numbers 222 42 k 0 Ak2 B kgt2 C 1922 D 152 E Noneoftheabove The base of a triangle is three inches more than its height If each is increased by 3 inches the area is 14 square inches Find the original base b and original height h in inches A b 4h 1 B b 29 6 C 68 5 D b 72 2 E None ofthe above Solve for 2 222 92 1 my1 A a 23 B 1 0 23 C a 23 D x 032 E None of the above If the point 2 3 is midway between A and B and the point A has coordinates 1 2 nd the coordinates of the point B A 15 B 31 C 3 8 D 32 12 E None of the above Thenlopoo ul aepcpodicuhrtotheiinedtmisz a A 13 3 quot13 13 D 3 E None ofthese If m varies directly as the product of z and y and inversely as 239 nd the constant of propor tionality k ifm iz 3 when a 4y x 2 and is 6 A k 16 B k 94 C k 3 D k 14 E None ofthe above 2 25 26 27 28 29 30 31 32 Give the equation of the line in slcpewintercept form which is parallel to the line 22 3y 2 7 and containathepoint41 Aygz 7 nyz z 0y a 3 1 The equation it the circle shown is Y D 3 x 1 E None of the above h As y24 B 12V34y0 C y24 Dx2y24y0 Et y 4z4yv 80 Determine g o f x for the following functions fc 1 J5 and gx 193 A B 1 J17quot c15 D 1 E 1N If fz nd A 310 B 3316 O 163 I 103 E None of these The graph below could but he described by which equation 2 7 I 3 5 WM Ay2 2 B yrs 2272 Cy 2s22 Dy2m22 Ey a 22 The guxe befow most closely resembles the mph of which function 1 A 3302 B gas 192 Dg l2 E 3 1 2 Express 33 one mama log y 1ogb yz legs 34 3 2 A log y2 3 10gb y C Iog y3 y2 34 D log 3 3411 E None of the above Which are true of the function x 2 log 2 if a gt 1 I f is an increasing function II f has a as an 3 intercept III I has 1 as a y intercept IV The domain of f is 000 List all correct answers AIIIandIII BIandII CIIandIV DIandIV ElandHI 4 2 33 Which of the following is equivalent to log A 109132 mgms 310g 721 B log 432 zogxm m 10g 21 0 log 432 210g 1395 310g 721 D log432 m 3 log 095 3105724 E log 432 210g 095 w 3 log 721 34 Solve forx3 395 4 10 4 A meOg4510g3 B m5log43 C39x 5103 M 5Iog4 D 3quot 510g4 E x m 10g3 35 Solve forx oga f232 A4095 1335113 3339 DI17 Ear quot3 36 Given that logam S Iogs n 10 and logs 6 Calculate Ioga yum p3 A 9 3 g 322 D 56 E W4 37 Th graph of y 2 2 3me the y axis at A 331 02 D3 1334 3 mammmmmmmxyu xmmniz t 51 39 4 gm inundation 233y8 3z4y5 2134334 D x 6 3x 2y4 393raw2y4 39638y18 39426y3 2xw4ym6 39634 m8 40 Determine where the two lines m4y 3 and 2x 63 8 intersect Ax51 2 Bx y Cxy Dx ym ENoneoftheabove 41 The value cf a rare book is increasing linearly It was worth 51 in 1981 and 62 in 1983 What is the formula fer he value v of the book at years after 1980 A vw5o4t 8 934843 C v503t D vm514t E None ofthe above 42 Iffmx2 2x4thenWm A2mh3 Bt2h2 Cx212 D2xh2 E2 h2 43 An aquarium in the shape of a rectangular box is to have a height 0f 15 feet and a volume of 6 cubic feet Let a enote the length of the base and y the width of the base Express 3 as a function of 3 Ay152 B y 0322 Dy Ey9m x A 4 44 If log 2 5 solve for 3 Give you answer correct to four decimal places Hint Change to exyonential notation A 22361 B 14142 C 06990 D 11487 E 03010 SOLUTION 1 D 2 C 3 A 4 C 5 B 6 E 12 1151 A 8 C 9 B 10 E A PPr 11 A 12 A 13 I 14 B 15 E a 7 16 D 17 A 18 C19 D 20 A 21 B 22 C 23 D 24 B 25 C 26 B 27 D 28 D 29 B 30 A 31 B 32 D 33 B 34 C 35 C 36 A 37 D 38 A 39 C 40 Ex 23 a 271 41 A 42 A 43 B 44 D MA 154 PRACTICE QUESTIONS FOR THE FINAL 1 1 6 is in the second quadrant and sine 06 nd c036 2 The angles with measures listed are all coterminal except gt Lula 3 The radian measure ofan angle of 1350 is E A B C D E Wpowe wan w 804 075 02 08 08 None of the above 531 300 420 60quot 57 4 33 2 3111 4 23 8 None of the above Use a calculator to nd the sec 126 correct to 4 decimal places 12361 05878 w 17013 12361 None of the above MA 154 PRACTICE QUESTIONS FOR THE FINAL 804 5 The point 12 16 is on the terminal side of the angle 8 Find tanB A B E E 3 5 4 i 3 fl 5 None of the above 6 If the diameter of a circle is 6 cm find the length of the are that subtends a central angie of 30 7 Find the area of a sector determined by 6 in problem 6 econ moon 1571 cm 2356 cm 3142 cm 9425 cm None of the above 1571 cm2 2356 cm2 3142 cm2 9425 cm2 None of the above 8 Sketched below is a portion of the graph of which trigonometric function 1 Ala 39 M A y eos ixJ B y 40082x C y 808011 1 D 4005 x y b E y 2 icost MA 154 9 The graph ofy 3 sin x I crosses the y axis at 3 II crosses the x axis at multiples of TE III IV is always above the xaxis has period 21 PRACTICE QUESTIONS FOR THE FINAL emcee 8f04 Choose all the correct answers I II I III IV I II IV II IV None of the above D I set of all real numbers R I I D 0 00 R set of all real numbers 13 0 21 R l 1 D set of all real numbers R 0 231 None of the above From a point P on level ground the angle of elevation of the top of the tower is 26 50 From a point 250 meters closer to the tower and on the same line with P and the base of the tower the angle of elevation of the top of the tower is mace 393 meters 126 meters 271 meters 237 meters None of the above 10 Give the domain D and the range R of fx cos x A B C D E 11 43 3039 Find the height of the tower correct to one decimal place 2 12 The expression is equal to SCCX P15370555 I seox 1 tan x sin 3 tan2 x sinxtanx escx sinx MA 154 PRACTICE QUESTIONS FOR THE FINAL 8304 13 Simplify W cotx secxsmx A tan2 xcoszx B l C csczx D 0 E tan2 x 14 Reduce to a single term 0052A cos B sin 2 sin B A sin 21 B B sin 2A B C cos 2A B D cos 24 B r E None of the above l Find all the solutions of 3cos2 x 23in x 2 0 in the interval 0 2n Axo 2 B x 35 4 2 C x 3 2 D x 3 4 E None of the above How many solutions of the equation sin26 c056 lie in the interval 0 21 16 v A B C D E 2 3 4 l N one of the above MA 154 PRACTICE QUESTIONS F OR THE FINAL 1 Find e030 in the given triangle D 40 18 Given cost 23 and 270 lt 6 lt 360 nd sinZ 19 Which equation best describes the graph given below 1quot C lsmlgmrg 8M4 26 3 16 339 None of the above None of the above y 25in x y COS i 2 y 2cosquot x y sinquoti 2 None of the above NLA 154 20 Find the cos 2 aresin D Do not use a calculator PRACTICE QUESTIONS FOR THE FINAL 804 25 None of the above 21 Point A is 20 miles north of B The hearing from A to C is S3 5 W and the hearing from B to C is 386 W Find the distance from A to C correct to one decimal place 22 Find the magnitude of the vector 23 23 If 52 22 and I 23 the sketch below corresponds to LIMw n l mpowgt moon WPOW 26 miles l6 miles 15 miles 35 miles None of the above 6 J6 13 J13 None of the above None of the above MA 154 PRACTICE QUESTIONS FOR THE FINAL 804 24 If 60 lb 1 10 is the magnitude and direction of one force and 20 lb 240 is the magnitude and direction of a second force calculate the magnitude to one decimal place and the direction to the nearest degree of the resultant 25 Which equation best describes that graph given below 3 26 Classify the equations given below 22 y2 2 15 I ellipse parabola III hyperbola I hyperbole parabola III ellipse I II x23y24x2y 50 111 x2 4xy 70 III III hyperbola ellipse parabola parabola ellipse hyperbole mcewgt 501b 128 74 lb 121 50 lb 121 74 lb 128 None of the above g gk LI 3 2 k lk ll 9 39 4 wane 2 4 9 xzr y 3Y 9 4 I parabola II hyperbola III ellipse I ellipse II hyperbola III parabola MA 154 PRACTICE QUESTIONS FOR THE FENAL 8IO4 2 The graph of 912 25y2 n 225 most Closely resembles which graph sketched below A a B C i n J u l 13 g u 3 l l 39 1 4 x VVVVVVVVVVVVVVVVVV Mew l quot3 3391 r 3 fquot D E F 23 29 s a w Find the vertex of the parabola y2 4y 2x 4 0 2 8 4 2 2 4 quot 8 None of the abdve mCOWgt An arch of a bridge ever a roadway is semi elliptical With major axis horizontal The base at the arch is 30 feet acress and highest part of the arch is 10 feet above the herizental roadway Find the height of the arch 10 feet from the center of the base 94 feet 89 feet 15 feet 100 feet None cfthe above meow MA154 35 36 37 PRACTXCE QUESTIONS FOR THE F INAL 04 Sketched beiow is a portion of the graph of which trigonometric function i A yz l sinfl ixi 2 K B D 2 2 43in x Mia Mm y m 4sin x a a Niki W W WW 1 3quot 3111 y 2 mm 3 4 1 2 2 1 1 22 E msin4x w y 2 2 Find the unit vector of 5quot 8j 5 8 A m wi m J 9quot B 5 i 8 1 39JE J5 C Li 8 j M m 8 w m m1 E None of the above Find the vecmr of magnitude 5that is in the oppasite direction 0f 47 A lt2 E None of the above 10 MA 154 PRACTICE QUESTIONS FOR THE FINAL 82 04 Answers 1 C 20 B 2 E 21 A 3 C 22 D 4 C 23 D 5 E 43 24 A 6 A 25 C 7 B 26 B 8 C 2 A 9 B 28 B 10 A 29 C H C 30 C 12 B 31 D 13 B 39 32 D 14 C 33 A 15 scam2 34 C 16 C 35 A 139 D 36 C 18 A 37 A 19 B 11 MA 154 FORMULA SHEET ADDITION AND SUBTRACTION FORMULAS sinu v sin ucosv cosu sinv sinu v sin ucosv cosusin v cosu v cos ucos v sin usinv cosu v cos ucos v sin usin v tanutanv tanu tanv tanuv tanumv 1 tanutan v 1 tan utan v DOUBLEANGLE FORMULAS sin2u 23in ucos u ycos2u cos2 u sin2 u tan2z 2m 1 tan 1 PYTHAGOREAN IDENTITIES sin28605291 1tan28 selt326 1cot29 205028 C LAW OF SINES LAW OF COSINES b a 23 lS I c2a2b2 2abcosy A c B ANGLE BETWEEN TWO VECTORS 9 w 3 11241123 STANDARD FORM FOR CONICS L h12 k12 wk k2 xaz ybz 1 x02 ybz 3 k24px h 42 k2 42 422 x7LszL1 Lag x1 x h24pyk 802

### 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

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "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.