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Chapter 1 1 Its Distance From The Ground Below Seconds
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) One hundred dollars is deposited in a savings account at 6% interest compounded continuously. The function defined by f(x) […]
Chapter 1 2 If you begin at a point on the line and move h units
Find the derivative. 74) y=x3 74) A) dy dx =x3 B) dy dx =x2 C) dy dx =3×2 D) dy dx =3×3 Solve the problem. 75) Refer to a line of slope m. If you begin at a point on […]
Chapter 10 1 Which of the following is a verbal description
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following functions solves the differential equation: y=y2? 1) A) y = ln 1 + x B) y = […]
Chapter 10 2 When a dead body is discovered, one of the first steps
83) Suppose the graph below gives a solution to the differential equation dP ds = g(P) where P is the price of a product and s is the weekly sales. Which of the following statements is/are true? (I) g(M) […]
Chapter 10 3 A large boulder is placed in a river to help divert the water
Solve the problem. 128) A large boulder is placed in a river to help divert the water. Suppose the rate at which the boulder erodes is proportional to the product of its current size and the difference between its original […]
Chapter 11 1 A patient receives M milligrams of a certain drug every hour
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Find the Taylor series expansion for f(x) =x 1 – x and use it to determine which of the following is false? […]
Chapter 11 2 By finding the sum of the series, determine the rational number
84) Find the Taylor series at x = 0 of f(x) =x2e2x. Use enough terms to calculate 0.25e to two decimal places of accuracy. Enter just a real number to 2 decimal places. 84) 85) Find the first four non–zero […]
Chapter 11 3 a gong vibrates 50 vibrations in the first second and in each
Find the Taylor series for the given function. 137) f(x) = ln(1 +8x) 137) A) 8x +82 2×2–83 3×3+84 4×4+ . . . +(–1)n8n+1 n + 1 xn+1+ . . . B) –8x –82 2! x2+83 3! x3–84 4! x4+ […]
Chapter 12 1 Enter Just Real number Rounded Off Two Decimal
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A random variable X is exponentially distributed with a mean of 10. Determine a so that Pr(0 x a) = […]
Chapter 12 2 The length of time it takes college students to find a parking
Let X be a continuous random variable on a x b with probability density function f(x). Then the median of the x–values is that number m for which m a f(x) dx =1 2. Find the median. […]
Chapter 2 1 Exam name multiple Choice Choose The One Alternative That
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following graphs could represent a function with the following properties? I. f(x) > 0, for x < […]
Chapter 2 2 An airline flies 120,000 passengers per week to Florida
50) Is this the graph of the function f(x) =x3+ 3×2– 45x + 10? Enter your answer as just the word “yes” or “no” (lower case). 50) 51) Determine the inflection point of f(x) = 2×3– 9×2+ 12x – 1. […]
Chapter 2 3 The graph below shows the price of a bushel of a certain
A) B) C) D) Answer: A Explanation: A) B) C) D) 41 Solve the problem. 108) The graph below shows the price of a bushel of a certain crop over a span of 9 years. In what year was the […]
Chapter 2 4 A carpenter is building a rectangular room with a fixed
138) A carpenter is building a rectangular room with a fixed perimeter of 200 ft. What are the dimensions of the largest room that can be built? What is its area? 138) A) 50 ft by 150 ft; 7500 ft2 […]
Chapter 3 1 Enter your answer in standard point- slope form
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) Use implicit differentiation to determine dy dx where x2+y2= 4. Is dy dx =x y correct? Enter “yes” or “no”. 1) […]
Chapter 3 2 Let GX Using The Chain Rule Find
Differentiate implicitly to find the slope of the curve at the given point. 91) x3–y3= 5; (5, 6) 91) A) –36 25 B) –25 36 C) 25 36 D) 25 6 D) Solve the problem. 92) Murrel‘s formula for calculating […]
Chapter 4 1 Which of the following is the largest number
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Simplify. 1) e(1/2)x ·e(3/2)x e–2x 1) A) e–10x B) e(1/2)x C) e–6x D) 1 e2x E) none of these 2) Which of the […]
Chapter 4 2 A company begins an advertising campaign in a certain
Simplify the expression. 112) ln(e11 ln e) 112) A) 11 ln(11) B) ln(11) C) 11 D) e11 Differentiate. 113) y = ln 1 – x (x +3)5 113) A) ln 6x –8 (x +3)6 B) 4x –8 (x +3)6 C) […]
Chapter 5 1 Assume That Culture Bacteria Grows Rate Proportional
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Let g(t) = 100 – 100e–0.01t be the number of cases of measles in a certain school t days after the first […]
Chapter 5 2 A bacterial culture grows exponentially; that is
Solve the problem. 48) A bacterial culture grows exponentially; that is, P(t) = 100ekt, where P(t) is the size of the culture at time t hours. Suppose that after 2 hours the size of the culture is 400. What is […]
Chapter 6 1 Use Riemann Sum Approximate The Area Under
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Draw the region whose area is given by the definite integral. 9 5 3xdx 1) A) B) C) D) 1 2) […]
Chapter 6 2 Draw the region whose area is given by the definite integral
77) This is a sketch of the region between the two curves f(x) =x2, g(x) = 8 –x2. Compute this area. Enter just a reduced fraction of form a b. 77) 78) Use a Riemann sum to approximate the area […]
Chapter 6 3 Find The Future Value Investment Which Money
Find the producer surplus for the supply curve at the given sales level, x. 125) p =x2; x =4 125) A) $2.67 B) $64 C) $12 D) $42.67 126) p =2– x; x = 0 126) A) $1.75 B) $1 […]
Chapter 7 1 As the price of electricity goes up, demand for the home
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Let f(x, y, z) be the amount of heat lost each day by a rectangular building x feet wide, y feet long, […]
Chapter 7 2 of bags if supplies of both raw materials and labor are tripled
96) The productivity of a certain country is P(x, y) = 1600×1/4y3/4 units, where x and y are the amounts of labor and capital utilized. What is the marginal productivity of capital when x = 16 and y = 625? […]
Chapter 7 3 A rectangular garden is to be surrounded on three sides by
139) Which of the following pairs of values (x, y) maximizes the function f(x, y) = x + 3y subject to the constraint x2+ 9y2= 72 assuming x and y are positive? (I) (–6, –2) (II) 8, 8 9(III) (2, […]
Chapter 8 1 Give The Values Sin And Cos Where
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following statements is false? 1) A) The degree measure of = – 5 4 is 135°. B) The terminal […]
Chapter 8 2 A department store has revenue from the sale of electrical
102) A department store has revenue from the sale of electrical kitchen appliances that is given approximately by R(t) = 2.2 + 2.2 cos t 23 for 0 t 52, where R(t) is revenue in hundreds of dollars […]
Chapter 8 3 How many tons (to the nearest ton) of pollutants were emitted into
Find the indefinite integral. 140) (–4 sin t + cos 3t) dt 140) A) 4 cos t +3 sin 3t + C B) –4 cos t –3 sin 3t + C C) 4 cos t –1 3 sin 3t […]
Chapter 9 1 Which of the following accurately describes integration by parts
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Which of the following accurately describes integration by parts? 1) A) f(x)g'(x) dx = f'(x)g(x) –f'(x)g(x) dx B) […]
Chapter 9 2 The following table shows the rate of water flow
Solve the problem. Round your answer, if appropriate. 99) The following table shows the rate of water flow (in gal/min) from a stream into a pond during a 30–minute period after a thunderstorm. Use Simpson’s rule to estimate the total […]
Chapter 9 3 A money market fund has a continuous flow of money
139) ex 1 + 2exdx 139) A) ln 1 + 2ex+ C B) e2x + C C) 1 2 ln 1 + 2ex+ C D) (1 + 2ex)2+ C E) none of these Approximate the integral by the trapezoidal rule. […]