Questions

Try This Find the measure of the missing arc or central angle for the following Find the measure of the missing angle 125 a olifol 100 The measure of the central angle is 100 b Find the measure of the missing arc 92 The measure of the arc is 92

Let x 12 y 25 x7y8 Compute dy dx dy dx 11 Submit Answer Packet on implicit diff

Turn ert each angle measure to its equivalent radian measure Leave your answers in terms of 90 5

for 1 The minute hand of a clock is 8 inches long To the nearest tenth of an inch how far does the tip of the minute hand travel as the time progresses from 12 00 to 12 45 10 8 11 12 6 5 7

How far does the train move during a 40 s time inter val starting at the instant the brakes are applied 45 A ball is thrown vertically upward with a speed of 25 0 m s a How high does it rise b How long does Copyright 2010 Cengage Learning All Rights Reserved May not be copied scanned or duplicated in whole or in part Due to electrome rights some third party content may be suppressed from the cBook and or eChapter s Edriorul review has deemed that any suppressed content does not materially affect the overall learning experience Cengage Leaming reserves the right to remove additional content at any time if subsequent rights restrictions require il it take to reach its highest point c How long does the ball take to hit the ground after it reaches its highest minte di What is its velocity when it returns to the Problems copter in terms of g and t c What are the answers to parts a and b if the helicopter is rising steadily a the same speed

The yearly demand function for Penn State Bakery cookie trays is given by x2 3p2 2x 12p 255 where p is the wholesale unit price in dollars and x is the quantity demanded each year measured in units of a thousand a Compute the price p when x 10 Price p 5 dollars b Use implicit differentiation to compute the rate of change of demand with respect to price p when x 10 Do not round your answer 6p 12 22 Rate of change of demand x Elasticity of Demand c Compute the elasticity of demand when x 10 Do not round your answer 10p 20 P thousands of units per dollar X

Which situation can be considered a binomial experiment O A Drawing one marble from a bag containing 10 red and 7 blue marbles replacing after each draw until you have drawn 4 blue marbles B Asking 15 students how tall they are and recording their answers C Rolling a single number cube until you get a 3 D Tossing a coin 10 times and recording the number of times it lands on heads

51 A tennis player tosses a tennis ball straight up and then catches it after 2 00 s at the same height as the point of release a What is the acceleration of the ball while it is in flight b What is the velocity of the ball when it reaches its maximum height Find c the initial veloc ity of the ball and d the maximum height it reaches

54 A baseball is hit so that it travels straight upward after being struck by the bat A fan observes that it takes 3 00 s for the ball to reach its maximum height Find a the ball s initial velocity and b the height it reaches

7 x x 2 x 4x 5 your answer to four places Find the value of S S dx and round

5504 3 4 2 4 5 5 4 3 2 1 1 2 3 4 5 6 4 2 3 4 What is the period of the function above What is the positive vertical strotch fr B 5 a 4

37 A train is traveling down a straight track at 20 m s wher the engineer applies the brakes resulting in an accel eration of 1 0 m s as long as the train is in motion How far does the train move during a 40 s time inter val starting at the instant the brakes are applied

c h x x2 x 6 x x 4 Justification Equation s of VA

on Find the exact volume of the solid obtained by revolving the region bounded by the graph of e y 4 f y and by y In 4 around e y 2 1 the y axis Hint Use the disk method

4 The velocity vs time graph for an object moving along a straight path is shown in Figure P2 24 i Find the average acceleration of the object during the time intervals a 0 to 5 0 s b 5 0 s to 15 s and c 0 to 20 s ii Find the instantaneous acceleration at a 2 0 s b 10 s and c 18 s 7 m s N HOME IN 2 0 6 6 8 51 W Figure P2 24 FE 1 1 s

29 A truck covers 40 0 m in 8 50 s while uniformly slow ing down to a final velocity of 2 80 m s a Find the truck s original speed b Find its acceleration

34 C A jet plane lands with a speed of 100 m s and can accelerate at a maximum rate of 5 00 m s as it comes to rest a From the instant the plane touches the run way what is the minimum time needed before it can come to rest b Can this plane land on a small tropi cal island airport where the runway is 0 800 km long

46 A ball is thrown directly downward with an init speed of 8 00 m s from a height of 30 0 m After wh time interval does it strike the ground

31 A Cessna aircraft has a liftoff speed of 120 km h a What minimum constant acceleration does the air craft require if it is to be airborne after a takeoff run of 240 m b How long does it take the aircraft to become airborne

negative infinity to positive infinity Question Given true 2ex fo de which of the following is 1 9e x Select the correct answer below The integral converges to The integral converges to O The integral converges to T The integral diverges

7 Give the period of y cot 3x Sketch the graph from x 0 to x

2 The polynomial p is a function of x The graph of p has four zeros at 4 Select all the expressions that could represent p A 3x x 4 x 7 x 9 B x x 4 x 2 x 9 C 3x x 4 3x 2 x 9 D 3x x 4 2x 3 x 9 E 3x x 4 3x 2 x 9 0 and

Which expression entered into a graphing calculator will return the probability that 10 or fewer heads come up when flipping a coin 35 times OA binomcdf 35 10 0 5 B binomcdf 10 35 0 5 C binomcdf 35 0 5 10 O D binomcdf 10 0 5 35

What is the probability that out of 175 chicks hatched on Peeper Farm dl least 70 will be female Assume that males and females are equally probable and round your answer to the nearest tenth of a percent OA 88 7 OB 38 1 OC 3 5 D 99 7

Suppose the graph of y f x passes through the point 3 4 with f 3 3 An approximate solution to f x 0 is

Questio What is the probability of flipping a coin 85 times and getting tails 50 times U fewer Round your answer to the nearest tenth of a percent O A 95 9 OB 0 4 O C 99 8 D 33 2

The graph of y f x passes through the point an

If a binomial trial has a probability of success of 0 3 how many successes would you expect out of 2000 trials O A 1400 OB 1800 O C 1000 O D 600

Suppose the graph of y f x passes through the point 3 11 with f 3 4 The line tangent to the graph at 3 11 has equation y The intercept occurs at x

In a valid probability distribution each probability must be between 0 and 1 inclusive and the probabilities must add up to 1 If a probability distribution 1 1 and x what is the value of x has probabilities 5 1 12 6 4 O A 1 4 OB 1 3 116 O C OD 1 2

Evaluate the integral f integral diverges write Diverges Hint 1 LIVE x x 1 dx 1 2 2 XV dx If the 1 sec x C

Ques In a group of 40 students the probability that at most 15 of them like to hike is 36 What is the probability that at least 16 of them like to hike OA 38 OB 55 O C 64 OD 44

Every week a company provides fruit for its office employees They can choose from among five kinds of fruit Which probabilities correctly complete this probability distribution for the 50 pieces of fruit in the order listed Fruit Number of pieces Probability Apples Bananas Lemons Oranges 10 15 6 14 OA Probability 0 2 0 1 0 32 0 3 0 08 OB Probability 0 2 0 12 0 16 0 28 0 24 OC Probability 0 2 0 3 0 12 0 28 0 1 01 03 024 Pears 5

The Wildcats and the Leopards are evenly matched football teams When they play there is a 0 5 probability that the Wildcats will win If they play 9 times what is the probability that the Wildcats will win 2 of the games Round your answer to the nearest tenth of a percent A 7 0 OB 24 6 OC 16 4 O D 0 2

Which of these is an example of a discrete random variable O A Weight of a child O B Time worked on a job O C Number of siblings OD Length of a fish

Evaluate d In dx 7 8x 9 4x2 5x 16 0

2006225 Theres DE LE PRE TORRE DE HEE THER SE DES OK 10 12 13 13 5

A prize of 100 200 400 or 800 will be randomly awarded to a game show contestant with the probabilities of winning each prize shown in the table below What is the expected value of the prize that will be awarded A 320 B 375 OC 340 O D 380 Prize 100 200 400 800 Probability 0 2 0 2 0 4 0 2

The bar representing which of the following probabilities on a histogram would be the highest O A 1 OB TO 10 O C 1 O D 30

Now that you have chosen your vehicle you will need to determine how much you will be paying per month for your car payment You find a bank that will lend you the money for 6 2 compounded quarterly or 7 8 compounded annually You will determine the monthly cost and total cost using both scenarios You will be able to change the amount of your monthly payment based on the length of your loan So using the price for your car determine the amount of your monthly payment based on the length of the loan the total amount that you will pay for the car and the total amount of interest that you will have to pay Original cost of the car The amount of your monthly car payment over 48 months The amount of your monthly car payment over 60 months The amount of your monthly car payment over 72 months Total amount you will eventually pay for your car Total amount of interest you will pay on your loan Car payments with a 6 2 compounded quarterly Car payments with 7 8 compounded annually

Evaluate x 6x 5 dx Sorry that s incorrect Try again

Suppose a binomial trial has a probability of success of 0 3 and 500 trials are performed What is the standard deviation of the possible outcomes Round your answer to two decimal places OA 10 25 OB 8 94 O C 10 95 OD 6 71

The graphs of y f x is shown 10 9 8 17 6 5 4 3 2 1 10 9 8 7 6 5 4 3 2 1 2 4 45 6 7 8 9 10 12 3 4 5 6 7 8 9 10 The derivative of In f x at x 0 will be Positive Negative Zero Undefined The derivative of ef x at z 0 will be Positive Negative

1 27 y 3 cos x 2n x 6

Graph one complete cycle for each of the following In each case label the axes so that the amplitude and period are easy to read 13 y 4 sin 2x 15 y 2 cos 4x 17 y 3 sin x 19 y 1 2 cos 3x 1 TL 21 y sin x 2 14 y 2 sin 4x 16 y 3 cos 2x 18 y 2 sin x y sin sin 3x 20 y TL 22 y 2 sin x

Graph each of the following over the given interval Label the axes so that the amplitude and period are easy to read 23 y 2 sin x 4 x 4 25 y 3 sin 2x x 2 24 y 3 os x 2 x 4 26 y 3 sin 2x 2n x 2

Suppose the population of a city can be modeled by P t It is the number of years since 2000 A function giving the fraction of college graduates is R t In 2014 the fraction of college graduates in the city is increasing decreasing H at a rate of places Meanwhile the number of college graduates in the city can be modeled by D t 105 85t where t is the number of years since 2000 0 09t 2680e persons where per year round your answer to 3 decimal

Graph one complete cycle for each of the following In each case label the axes so that the amplitude and period are easy to read 13 y 4 sin 2x 14 y 2 sin 4x

Solve the following system of equations graphically Ull Answer of a Solution V 22 6 3x y 1 Plot two lines by clicking the graph Click a line to delete it

Question Solve the system by substitution Answer of 7z y 30 2z 5 y