Archives: Quiz
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 4 3 Write The Expression Single Logarithm Whose coefficient Where
Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions. 107) 9logby +6logbz 107) A) 15logbyz B) logb(yz)15 C) 54logbyz D) logby9z6 Graph the function. […]
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+ […]
Chapter 4 2 Cindy will require $13,000 in 2 years to return to college to get
53) Use the graph of f(x) = log x to obtain the graph of g(x) = log (x – 1). 53) A) B) C) D) Answer: B Explanation: A) B) C) D) 21 Approximate the number using a calculator. Round […]
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 4 1 The population of a particular country was 25 million in 1982
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) 1) A) f(x) =log 5(–x) B) f(x) = 1 –log 5x C) f(x) =log 5x D) f(x) = – log 5x Answer: […]
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 3 5 A Falls The Left And Rises The
Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation. 187) 3×2– 4x 7 187) A) –1, 7 3 B) –1, 7 3 C) (–, –1) 7 3, D) […]
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 3 4 Find The Amount Of water Used Shower Lasting
Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. 143) 15 –3x 6x +1 0 143) A) –1 6, 5 B) [5, ) C) –, –1 6or [5, […]
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 3 3 Then find the coordinates of the minimum or maximum point
Divide using long division. 85) (2×4–7×2+14×3–49x) ÷ (2x +14) 85) A) x3+7 2x B) x3–14x +4x 2x +14 C) x3–7 2x D) x3–7 2x –98x 2x +14 Find the x–intercepts of the polynomial function. State whether the graph crosses the […]
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 3 2 A rectangular playground is to be fenced off and divided in two
Find the x–intercepts of the polynomial function. State whether the graph crosses the x–axis, or touches the x–axis and turns around, at each intercept. 41) f(x) = – x3(x +3)2(x –8) 41) A) 0, touches the x–axis and turns around; […]
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 3 1 If the voltage across a resistor is 12 volts
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end behavior to match the function […]
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 2 6 plotted with a solid line, to sketch the graph of the given
A) B) C) D) Find the slope of the line that goes through the given points. 192) (5, –7), (–8, –2) 192) A) –13 5 B) – 2 C) –1 2 D) –5 13 Answer: D Explanation: A) B) C) […]
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 2 5 Let The Average Value The Automobile The
Find functions f and g so that h(x) = (f g)(x). 164) h(x) = 1 x2+ 4 164) A) f(x) =1/x2, g(x) =4 B) f(x) = x + 4, g(x) =1/x2 C) f(x) = 1/x, g(x) =1/x + 4 […]
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 2 4 The total cost in dollars for a certain company to produce
A) B) C) D) D) Solve the problem. 118) The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) =0.8x +40,000. Find C(50,000), […]
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 2 3 Use Interval Notation Give The domain And Range
Find and simplify the difference quotient f(x + h) – f(x) h, h 0 for the given function. 78) f(x) =x2+8x – 9 78) A) 2×2+ 2x + 2xh +h2+ h – 18 h B) 1 C) 2x + […]
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 2 2 Begin by graphing the standard square root function
A) f domain = (0, ); range = (–1, ) f–1 domain =(0, ); range = (–1, ) B) f domain = (–, ); range = (–1, ) f–1 domain =(–, ); range = (1, ) C) f domain = […]
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 2 1 One Internet service provider has the following rate schedule
Exam Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem. 1) One Internet service provider has the following rate schedule for high–speed Internet service: Monthly service charge $18.00 1st […]
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 1 5 A bookcase is to be constructed as shown in the figure below
Solve the problem. 209) A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 3 feet longer than the length of a shelf. If 18 feet of lumber is available for the […]
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 1 4 Use Compound inequality Determine When The Attendance Costs
Use the graph to determine the x– and y–intercepts. 175) 175) A) x–intercepts: –4, 4; y–intercepts: –5, 5 B) x–intercepts: –5, 5; y–intercepts: –4, 4 C) x–intercepts: –5, 5 D) y–intercepts: –4, 4 Find the product and write the result […]
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 1 3 A landscaping company sells 40- pound bags of top soil
Solve the equation using the quadratic formula. 119) x2+5x +5= 0 119) A) –5–5 10 , –5+5 10 B) –5–5 2, –5+5 2 C) –5–3 5 2, –5+3 5 2 D) 5–5 2, 5+5 2 Use the graph to determine […]
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 1 2 There is a relationship between the expected number of tickets
Solve the compound inequality. Other than , use interval notation to express the solution set and graph the solution set on a number line. 51) 32x – 3 9 51) A) (3, 6) B) [3, 6] C) (–6, –3) D) […]
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 1 1 Which equation corresponds to Y2 in the table
Exam Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Match the graph with its function using the x–intercepts. 1) 1) A) y =(x – 2)2– 7(x – 2) + 6 B) y […]
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 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 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 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 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 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 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 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 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 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 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 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) […]