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Chapter 1 1 For The Following Table Data a Draw Scatterplot b
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) If a company decides to make a new product, there are fixed costs and variable costs associated […]
Chapter 1 2 Use The Equation The Least Squares Line
Find the correlation coefficient. 63) Consider the data points with the following coordinates: x 57 53 59 61 53 56 60 y 156 164 163 177 159 175 151 63) A) –0.0783 B) –0.0537 C) 0.2145 D) 0.1085 64) The […]
Chapter 1 3 A car rental company charges $24 per day to rent a particular
Find the slope of the line. 126) 126) A) –1 B) –4 C) 1 D) 4 Solve the problem. 127) A car rental company charges $24 per day to rent a particular type of car and $0.15 per mile. Juan […]
Chapter 1 4 making the triangle formed by these points a right triangle
A) B) C) D) Find an equation in slope–intercept form (where possible) for the line. 153) Through (–2, 0) and (–8, 5) 153) A) y =2 13 x +81 13 B) y = – 2 13 x +81 13 C) […]
Chapter 10 1 Newton’s Law of Cooling states that the rate of change
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the general solution for the differential equation. 1) dy dx =4x3y –7x6y 1) A) y = Me(x4–x7) B) y = – x4–x7 […]
Chapter 10 2 The table shows the population of a certain city for selected
Solve the problem. 68) The table shows the population of a certain city for selected years between 1950 and 2003. Years after 1950 Population 0 12,421 20 143,112 30 290,089 40 375,297 50 445, 052 55 471,126 Write a logistic […]
Chapter 11 1 What Is the Probability That Blood Clotting Time
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide whether or not the function is a probability density function on the indicated interval. 1) f(x) =3×2 16 ; [–2, 2] 1) […]
Chapter 11 2 The annual rainfall in Maine is a random variable with probability
78) f(x) =x 3–1 6; [3, 4] 78) A) 0.24 B) 0.32 C) 0.28 D) 0.25 Find a value of k that will make f a probability density function on the indicated interval. 79) f(x) = kx2; [1, 3] 79) […]
Chapter 12 1 The cell provides useful power as long as the voltage
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) A team of engineers is testing an experimental high–voltage fuel cell with a potential application as an emergency […]
Chapter 12 2 A ball is dropped from a height of 9 meters and returns to about
Find the Taylor series for the given function. Give the interval of convergence. 83) f(x) =4×2 3– x 83) A) 4 3x +4 9×2+4 27 x3+ . . . +4 3nxn+ . . . ; (–3, 3) B) 4 3x […]
Chapter 12 3 How much should be deposited semiannually into a sinking fund
Solve the problem. 136) How much should be deposited semiannually into a sinking fund over 5 years to accumulate $104,000 if the money earns 8% compounded semiannually? 136) A) $17,727.84 B) $8662.26 C) $6243.12 D) $9071.92 Find the monthly house […]
Chapter 13 1 Monday morning That Time The Water About
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the derivative of the function. 1) y =3sec5 x 1) A) dy dx =15 tan x sec5 x B) dy dx =15 […]
Chapter 13 2 A 34- foot ladder is leaning against the side of a building
Find the derivative of the function. 62) y =5 sin (7x – 6) 62) A) dy dx = – 7 cos (7x – 6) B) dy dx =5 cos (7x – 6) C) dy dx =35 cos (7x – 6) […]
Chapter 13 3 Find Equation Relating And Where The Angle
Find the derivative of the function. 106) y =x3 tan x 106) A) dy dx =x3sec2x +3x2tan x B) dy dx =x3 sec x tan x +3x2tan x C) dy dx = – x3sec2 x +3x2tan x D) dy dx […]
Chapter 2 1 Match the correct graph to the given function
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the graph to the function. 1) 1) A) f(x) =2x– 2 B) f(x) =2x + 2 C) f(x) =2x D) f(x) =2x+ […]
Chapter 2 2 Explain How The Graph Can Obtained From
Match the function to the correct graph. 23) y = 2×3– 3×2 – 9x – 10 23) A) B) C) D) Answer: C Explanation: A) B) C) D) 21 Match the correct graph to the given function. 24) y = […]
Chapter 2 3 so that she will have enough to buy a new car
Write the expression using base e rather than base 10. 61) 10×3 61) A) e(ln 10)x3 B) 10ex3 C) x3e10 D) e10x3 Answer: A Explanation: A) B) C) D) Graph the function. 62) y = – 4e–x/2 +2 62) A) […]
Chapter 2 4 Evaluate the logarithm without using a calculator
Solve the problem. 106) If the average cost per unit C(x) to produce x units of plywood is given by C(x) =1500 x + 50 , what do 400 units cost? 106) A) $1499.88 B) $12,000.00 C) $139.99 D) $1333.33 […]
Chapter 2 5 Find The Richter Scale Rating A nearth quake With
Solve the problem. 153) A state park charges $13 per day or fraction of a day to rent a tent site, plus a fixed $4 park maintenance fee. Let T(x) represent the cost to stay in a tent site for […]
Chapter 3 1 Its Distance from The Ground After Seconds Given
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) The graph of the function y = f(x) =x2/3 is shown below. The “V”–shaped graph comes to […]
Chapter 3 2 Use the properties of limits to help decide whether
Solve the problem. 62) The force F (in N) exerted by a cam on a lever is given by F =x4–13×3+45×2–67x +30, where x (1 x 5) is the distance (in cm) from the center of rotation of […]
Chapter 3 3 One hundred dollars is deposited in a savings account
Solve the problem. 111) One hundred dollars is deposited in a savings account at 6% interest compounded continuously. The function defined by f(x) shown in the figure gives the balance in the account after t years. At what rate (in […]
Chapter 3 4 that is stretched a distance of x inches beyond its relaxed length
Solve the problem. 143) The graph shows the amount of potential energy V(x) (in arbitrary energy units) stored in a large rubber band that is stretched a distance of x inches beyond its relaxed length. The magnitude of the force […]
Chapter 4 1 Prove that if average cost is decreasing, then marginal cost
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) If g(3) =3, g (3) =2, f(3) =2, and f (3) =1, what is […]
Chapter 4 2 The nationwide attendance per day for a certain motion picture
Give an appropriate answer. 82) If g (–2) = – 12 and h (–2) =2, find f (–2) for f(x) =3g(x) +3h(x) +1. 82) A) –30 B) –29 C) –41 D) –42 Let f(x) = 8×2– 5x […]
Chapter 4 3 Find the rate of growth of the population after 5 months
Find the derivative. 130) y = (4x + 3)5 130) A) dy dx = 5(4x + 3)4 B) dy dx = 4(4x + 3)4 C) dy dx = (4x + 3)4 D) dy dx = 20(4x + 3)4 131) y […]
Chapter 5 1 Sketch a graph of a single function that has these properties
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Answer the question. 1) The given graph is that of the derivative of a function f. Using information obtained from the graph […]
Chapter 5 2 The population of a certain species of fish introduced into a lake
Suppose that the function with the given graph is not f(x), but f (x). Find the locations of all extrema, and tell whether each extremum is a relative maximum or minimum. 51) 51) A) No relative extrema B) Relative […]
Chapter 5 3 Find the x- value of all points where the function
Use a graphing calculator to find the location of all relative extrema (to three decimal places). 102) f(x) =x4–3×3– 21×2+ 74x – 69 102) A) Relative maximum at x = 1.604; Relative minima at x = – 3.089 and x […]
Chapter 5 4 you were applying the second derivative test to determine
A) Rel min: 0, 1 5 No inflection points B) Rel min: 0, –1 5 No inflection points C) Rel min: (0, 0) Inflection points: –15 3, 1 4, 15 3, 1 4 D) Rel min: (0, 0) No inflection […]
Chapter 6 1 Boyle’s law states that if the temperature of a gas remains
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) A piece of molding 168 cm long is to be cut to form a rectangular picture frame. What dimensions […]
Chapter 6 2 the production level that gives the maximum profit
Find the equation of the tangent line at the given value of x on the curve. 74) 2xy – 2x + y = – 14, x = 2 74) A) y =6 5x –22 5 B) y = – 5 […]
Chapter 6 3 A tumor is approximately spherical in shap
Find dy/dx by implicit differentiation. 117) x + y x – y = x2+ y2 117) A) x(x – y)2+ y x + y(x – y)2 B) x(x – y)2+ y x – y(x – y)2 C) x(x – y)2– […]
Chapter 7 1 When we use Simpson’s rule, it is necessary that the number
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide the proper response. 1) When we use Simpson’s rule, it is necessary that the number of subintervals be ? . 1) A) […]
Chapter 7 2 Use your calculator to approximate the integral using the
Provide the proper response. 74) If F’(x) = f(x), then b a f(x) dx = i) F(a) – F(b). ii) F(b) – F(a). iii) F(b) + F(a). 74) A) Only i is correct. B) Only iii is correct. C) […]
Chapter 7 3 How many books will the library have 1 year(s) after opening
Find the integral. 127) x4x5+1 dx 127) A) 2 3(x5+1)3/2 + C B) 2 15 (x5+1)3/2 + C C) 1 10 x5+1 + C D) 2 15 x5(x5+1)3/2 + C Use n = 4 to approximate the value of the […]
Chapter 8 1 A student wishes to take the integral over all real numbers
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide the proper response. 1) A student wishes to take the integral over all real numbers of f(x) = x2 if x […]
Chapter 8 2 Find The Present Value Interest Earned Compounded
87) An auxiliary fuel tank for a helicopter is shaped like the surface generated by revolving the curve y = 1 –x2 16 , –4 x 4, about the x–axis (dimensions are in feet). How many cubic feet of fuel […]
Chapter 8 3 Find The final Amount Interest Earned Compounded Continuously a
Solve the problem. Round your answer to the nearest whole number. 134) The rate of a reaction to a drug is given by r'(t) =6t2e–t, where t is the number of hours since the drug was administered. Find the total […]
Chapter 9 1 Write Quot volume quot Word Problem For Which Finding
Exam Name___________________________________ 1) z = – x2–y2 1) A) B) C) D) Answer: B Explanation: A) B) C) D) 1 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Choose the graph that matches […]
Chapter 9 2 where the function has any relative extrema or saddle points
Find the double integral over the rectangular region R with the given boundaries. 28) (5xy) dx dy R 0 x 3, 0 y 1 28) A) 9 4 B) 45 C) 45 4 D) 45 2 Find […]
Chapter 9 3 Account (IRA) with the growth of the same deposit in a regular
Solve the problem. 104) The production function z for an industrial country was estimated as z = x4y8, where x is the amount of labor and y the amount of capital. Find the marginal productivity of labor. 104) A) 8x4y7 […]
Chapter 9 4 The percentage errors in these measurements do not exceed
Evaluate the integral. 147) 1 0 y y2+ 7x dx 147) A) 1 3(7x + 1)3/2 –1 3(7x)3/2 B) 2 15 y(y2+ 7)3/2 –2 15 (y2+ 1)3/2 C) 1 6(7x + 1)3/2 –1 6(7x + 7)3/2 D) 2 21 y(y2+ […]