Functions Questions and Answers

xercise 3 Compute the scalar line integral fds where f and C are as indicated a f x y 1 ry C r t t 3t t 0 1

valuate the line integral where C is the given curve xyz ds C is the line segment from 2 2 0 to 0 3 4

A Using synthetic division and the exact zeros you found above rewrite the polynomial function g x 2x5 102x 38x 1020a 450 so that it is completely factored i e factored into inear factors B Then type in the exact value of all roots of g x 2x5 102x 38x2 1020 450

h x 240 230 220 4 81page 74 2001 190 180 170 160 4 6 2 m 3 2 1 1 2 st 2 3

13 f x 10 5x7 1 X y 0 5 0 0 5 1 1 2 2 2 4 5 4 3 2 1 54 4 321 AY 1 2 3 4 1 2 3 4 5 14 X

Evaluate the Glven the functions f x 2x g x x 5 h x 1 x 4 function g h 6 for x 6 Write your answer as an integer or simplifled fraction Select Undefined If applicable

F 32 or F C Convert the given Celsius temperature to its equivalent temperature on the Fahrenheit scale Use C 9 C F C 32 where F is the degrees in Fahrenheit and C is the degrees in Celsius 9 C F Round to the nearest tenth as needed

Find the y int ercent of the parabola v x 2 4

x y xy dy xydx 0 x vy dx vdy ydv

5 Put a check beside each of the following that represent a polynomial expression 1 3x 5x 3 Vx 5x4 x 1 3x 8 5 6 x 4x 3 x 2 x 4 sin x 3

4 Determine if the function f x 5 x7 x5 6 x is an Even Odd or neither by looking at the equation and algebraically

Before heading to Switzerland for a skiing vacation Jamel checks a weather report which predicts temperatures from 5 C to 1 C while he and his family are there Worried that he s going to almost freeze to death and have to get rescued by one of those St Bernards with a barrel of wine around its neck he checks a temperature conversion app What does he find out about the Fahrenheit temperatures Round to the nearest tenth if necessary Jamel finds out that the temperatures are predicted to be between F and F X

b Counting numbers greater than 120 Enter only the first three values of this set

How many subsets does the set F 1 2 3 4 5 have subsets

Onstruct a truth table for the given statement p qv p vr P T T T T q L T T T FL F T F F P qV p P qV p P qV P Vr

c Which of the given sets are equal O A C B D E F O A C D E F O A C D E F O A C D E F O C E F

Points DETAIL Instruct a truth table for rAs VNS

4 L to qt Click to check the table of English and Metric Equivalents for Capacity 4Lqt Round to two decimal places as needed English and Metric Equivalents for Capacity English and Metric Equivalents for Capacity 1 teaspoon tsp 5 milliliters ml 15 milliliters ml 30 milliliters ml 1 tablespoon tbsp 1 fluid ounce fl oz

Use the table along with dimensional analysis to convert the given unit to the unit indicated 15 000 to gal 112200 gal Round to the nearest hundredth as needed

mi hr Round to the nearest hundredth as needed

Use the following unit fractions to express 195 miles per hour in feet per second 5280 ft 60 min 60 sec 1 mi 1 hr 1 min 195 mi hr ft sec and Simplify your answer

Graph the following function and determine if it is continuous or discontinuous y x 9 x 6 x 2 O Discontinuous O Continuous

Express the rational number as a decimal 10 16

Express the following number in decimal notation 3 5x107 3 5 10

3 Find all other zeros of P x x Other zeros Cros 2 5x 7x 13 given that 3 2i is a zero moitu

Find a polynomial f x of degree 3 that has zeros of 6 0 and 4 Leave your answer in factored form f x

Part 1 of 2 O Points 0 of 1 The percentage of U S college freshmen claiming no religious affiliation has risen in recent decades The bar graph shows the percentage of first year college students claiming no religious affiliation for four selected years from 1980 through 2012 a Estimate the average yearly increase in the percentage of first year college males claiming no religious affiliation Round the percentage to the nearest tenth b Estimate the percentage of first year college males who will claim no religious affiliation in 2025 SOS a The average yearly increase in the percentage of first year college males claiming no religious affiliation is approximately per year Round to the nearest tenth as needed Percentage of First year U S College Students Claiming No Religious Affiliation Percentage 30 25 20 15 9 5 10 6 9 5 Males Females 1980 14 2 10 4 Save 16 9 13 7 26 5 21 1 1990 2000 2012

the questions about the following polynomial function f x f x 9 x 13 x 5 x 1 3 3 Describe the end behavior of the graph of fby circling an option for R L sides Left side Rises Falls Right side Rises Falls In the table below list each real zero of f their multiplicities and whether the graph crosses the x axis or touches but doesn t cross the x axis at that zero V Zero Find the y intercept of the graph of f Multiplicity intercent Crosses or Touches 15 ROSSION

Find the product and write it in lowest terms 6 11 4 54

Perform the division If possible reduce the answer to its lowest terms 21 8 3 21 3 Type an integer or a simplified fraction

38 318 7 12 7 2 Type an integer or a fraction Simplify your answer 12

Perform the indicated operation If possible reduce the answer to its lowest terms 5 1 31 1 3 7 51 Simplify your answer Type an integer or a simplified fraction

To have a binomial setting which of the following must be true 1 When sampling the population must be at least 20 times as large as the sample size Some textbooks say 10 times as large II Each occurrence must have the same probability of success III There must be a fixed number of trials OA I only OB II and III only C I and III only D II only OE I II and III 2

Use the order of operations to simplify the expression 2 6 3 7 2 6 3 7

27 3 Select the correct choice below and fill in any answer boxes within your choice 27 3 OB The expression is undefined A Simplify your answer

Seven cubic feet of seawater have flooded into a boat through a leak in the side If the boat itself weighs 200 lb how much does it weigh with the seawater Round the answer to the nearest pound The boat with the seawater weighs pounds X

Write the product as a sum or difference cos 60 cos 40 01 cos120 2 cos120 O 1 1 cos100 cos 20 01 2 cos100 cos 20

Write a linear function that describes the poverty threshold in terms of years after 1980 Use x for years since threshold The linear function is T x Part 2 of 3 Part 2 3 4200 230x Estimate the poverty threshold in 2010 The poverty threshold was approximately 11 100 in 2010 Part 3 of 3 X In what year will the poverty threshold pass 16 000 per year S X

Find the exact value 11 6 arccos cos 7 6 TU 5n 6 7 6 11x 6

turkeys to feed 84 guests Note Round up the answer to the nearest whole number if necessary Part 1 of 4 a How many turkeys should he cook to feed 96 guests The chef should cook Part 2 of 4 turkeys for 96 guests The chef should cook X b How many turkeys should he cook to feed 120 guests turkeys for 120 guests X

The taxes on a house assessed at 85 000 are 3570 a year If the assessment is raised to 100 000 and the tax rate did not change how much would the taxes be now The taxes on the house with an assessment of 100 000 are

A company started out spending 259 to get up and running and then it planned on charging 29 for its product The amount of profit which is money brought in minus cost is given by the function p x 29x 259 If the company sells 15 units will it make enough to cover its start up costs How much will it make if It sells 119 units Part 1 of 2 If the company sells 15 units it will Part 1 2 Part 2 of 2 make enough to cover its start up costs If the company sells 119 units it will make a profit of X M

Mark is interested in measuring the height of a tree in his yard He measures the length of the tree s shadow at 15 feet At the same time his own shadow is 3 feet 5 inches If Mark is 6 10 how tall is the tree The tree is feet tall X 00 11

Andy s weekly pay varies directly with the number of hours worked He earned 232 in a week when he worked 32 hours Part 0 2 Part 1 of 2 a Determine the constant of variation k for the equation y kx where y is Andy s weekly pay and x is the number of hours he worked Round your answer to two decimal places if necessary The constant of variation is k X

The functions f x x 1 and g x x 2 are shown in the graph above Which of the following represents the solutions shown in the shaded regions 2 A y x 1 y x 2 2 B y x 1 y x 2 C y x 1 y x 2 2 D y x 1 y x 2

A radioactive substance decays at an annual rate of 13 percent If the initial amount of the substance is 325 grams which of the following functions f models the remaining amount of the substance in grams f years later t A f t 325 0 87 B f t 325 0 13 C f t 0 87 325 D f t 0 13 325

B 3 x y 1 x y 1 8 The solution to the system of equations above is x y Find the value of x y 1001 00 2 3 4 3 7 8 3 8

0 09 b Complete the table of outputs for this equation A 6000 1 12 cent Years 1 0 5 10 15 20 Value A X 12t Feel free to use a calculator or spreadsheet Round the value to the nearest

6 Suppose you want to find 5 How can you use the root finding methods to find the valu x 5 Use Newton Raphson method to find the approximate value of x

Exxon Ford Motor IBM General Motors Texaco What do the companies in the list represent O The top five American businesses in terms of revenue O The top five American businesses in terms of multinational companies O The top five American businesses in terms of assets O The top five foreign owned businesses in the United States