MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Eam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. ) Red Plains Roasting has found that the cost, in dollars per pound, of the peanuts it roasts, is c() = , for 00, where is the number of pounds of peanuts roasted. Find the total cost of roasting 00 lb of peanuts. ) A) $7.00 B) $.2 C) $0.00 D) $.00 2) A special-events promoter sells tickets and has a marginal-revenue function given by Rʹ() = - 20, where Rʹ() is in dollars per ticket. This means that the rate of change of total revenue with respect to the number of tickets sold,, is Rʹ(). Find the total revenue from the sale of the first 0 tickets. A) $9,000 B) $2,200 C) -$80,800 D) -$90,00 2) ) Decor Woodworkers knows that their marginal cost of producing feet of custom molding is given by Cʹ() = , for 000, where Cʹ() is in cents. Approimate their total cost, in dollars, of manufacturing 000 ft of molding, using subintervals over [0, 000] and the left endpoint of each subinterval. A) $66.88 B) $28.7 C) $72.9 D) $02.88 ) ) Satterfield Pavementʹs marginal cost, in dollars, of paving a road with asphalt is given by Cʹ() = , for 20, ) where is measured in hundreds of feet. Use subintervals over [0, 0] and the left endpoint of each subinterval to approimate the total cost of paving 000 ft of road. A) $9,902. B) $22,2. C) $9, D) $ Approimate the area under the graph of f() over the specified interval by dividing the interval into the indicated number of subintervals and using the left endpoint of each subinterval. ) f() = ; interval [2, ]; subintervals A) 2.0 B) 9.2 C) 0.0 D) 0.0 ) Evaluate. 6) (0t2 + t - ) dt A) t + t2 - t + C B) 0t + t2 - t + C 6) C) 0 t + 2 t 2 - t + C D) 20t + + C

2 7) ( - )2 d 7) A) C B) C C) C D) C 8) -6 d A) C B) + C C) C D) 7 + C 8) 9) 62 d A) 62 + C B) C C) 62 ln + C D) ln 62 + C 9) 0) 8/ d 0) A) 8 / + C B) 2 + C C) 8/ + C D) 6/ + C ) 28 d A) /2 + C B) 6 /2 + C C) 28 /2 + C D) 28 /2 + C ) 2) ( + e) d A) + e C B) + e + C C) + e + C D) + e + C 2) Find f such that the given conditions are satisfied. ) fʹ() = 2 + 6, f() = 7 A) f() = B) f() = + 6 C) f() = D) f() = ) ) fʹ() = -, f(9) = 0 ) A) f() = / B) f() = 2 /2 - + C) f() = 2 / D) f() =

3 Solve the problem. ) Find a companyʹs cost function if its marginal cost function is Cʹ() = - 9 and its fied cost is $ 2. ) A) C() = B) C() = C) C() = D) C() = Evaluate the indefinite integral. 6) ( + t) t dt A) t/2 + t/2 + C B) 0 t /2 + 2 t 2 + C C) 2 t /2 + 2 t /2 + C D) 0 t /2 + 2 t /2 + C 6) 7) d A) C B) - 9 ln C C) - 9 ln C D) C 7) 8) ( - 2)(7 + ) d A) C B) C 8) C) - + C D) C Find the area under the given curve over the indicated interval. 9) y = 2 + ; [0, 2] y ) A) 2 2 B) 22 C) 2 D) 26

4 Find the area under the graph of the function over the interval given. 20) y = ; [, ] 20) A) B) C) 2 D) 2 2) y = 9 ; [, 6] 2) A) 9 ln 6 B) 6 ln 9 C) ln D) ln 6 Evaluate the definite integral and interpret the result. 22) ( - ) d -2 22) A) -9; the area under the graph of y = - over the interval [-2, ] is -9. B) 9 ; the area between the -ais and the graph of y = - over the interval [-2, ] is 9. C) 9 ; the area between the -ais and the graph of y = - over the interval [-2, 0] minus the area between the -ais and the graph of y = - over the interval [0, ] is 9. D) -; the area between the -ais and the graph of y = - over the interval [-2, 0] minus the area between the -ais and the graph of y = - over the interval [0, ] is -.

5 2) (2 - ) d y 2) A) - 2 ; the area bounded by the -ais and the graph of y = 2 - is - 2. B) ; the area bounded by the -ais and the graph of y = 2 - is. C) - ; the area bounded by the -ais and the graph of y = 2 - is -. D) 2 ; the area bounded by the -ais and the graph of y = 2 - is 2. Evaluate. 2) 0 b 76 d A) 7b7 B) b7 C) 7 b 7 D) b 2) 2) e 7 d A) 7 B) 0 C) e 2 D) -7 2) 26) d - A) -26 B) 26 C),60 D) 26 26) 27) 0 d A) 9 B) C) 27 2 D) 6 27)

6 28) A) 76 9 d B) 70 9 C) 7 6 D) ) 29) t2 + dt t A) 2 B) 72 C) 77 D) 92 29) Solve the problem. 0) A manufacturer determined that its marginal cost per unit produced is given by the function C () = Find the total cost of producing the 0st unit through the 200th unit. A) $900 B) $200 C) $6. D) $600 0) ) An object moves in such a way that its velocity (in m/s) after time t (in sec.) is given by v = t2 + t + 9. Find the distance traveled by the object during the first four seconds. A) 6. m B) 76.0 m C) 97. m D).0 m ) 2) EXTRA CREDIT?: A car accelerates at a constant rate from 0 mph to mph in 0 sec. How far does the car travel during this time? 2) A) B) C) D) Find the area bounded by the given curves. ) y = 2-2, y = 2 - A) 2 B) C) 7 D) ) ) y =, y = A) 8 B) 6 C) D) 2 ) Find the average value over the given interval. ) y = ; [-2, 2] A) 0 B) 26 C) 2 D) 6 ) 6) y = e-; [0, 6] A) - e -6 6 B) e- C) e -6-6 D) - e-6 6) 6

7 Evaluate using the substitution method. 7) + d A) ln + + C B) 6 ln + + C 7) C) 6 ln + + C D) 6 ln( + ) + C 8) d (72 + ) 8) A) - 7 (7 2 + )- + C B) - 7 (7 2 + )-6 + C C) - 6 (7 2 + )- + C D) - (7 2 + )-6 + C 9) 9 dy 2 + y A) 9 ln 2 + y + C B) 8 ln 2 + y + C C) 9 ln 2 + y + C D) 8 ln 2 + y + C 9) 0) (ln ) d 0) A) (ln ) C B) (ln ) + C C) (ln ) + C D) (ln ) + C ) d ) A) 2( + 6) /2 + C B) - 2 ( + 6) -/2 + C C) 2 9 ( + 6) /2 + C D) 2 ( + 6) /2 + C 2) (6-2) 6 (6-0) d A) (6-2) 7 + C B) C 2) C) 7 ( 6-2) 7 + C D) 6 ( 6-2) 6 + C 7

8 Solve the problem. ) The first derivative of a personʹs body temperature, with respect to the dosage of milligrams of a 8 drug, is given by Dʹ() =. One milligram raises the temperature 2. C. Find the function D() + giving the total change in temperature as a function of. 8 A) D() = ln B) D() = 8 ln C) D() = ln D) D() = 8 ln ) ) The rate of growth of profit (in millions) from an invention is approimated by Pʹ() = e-2, where represents time in years. The total profit in year 2 that the invention is in operation is $,000. Find the total profit function P(). A) P() = -0.e-2 + 2,000 B) P() = - 2 e C) P() = -0.e D) P() = - 2 e -2-2,000 ) Evaluate using integration by parts. ) 7e d A) e - 7e + C B) 7e - 7e + C C) 7e - e + C D) 7e - 7e + C 6) e2 2 d ) 6) A) 2 2e2 - e2 + e 2 + C B) 2 2e2 - e 2 + e 2 + C C) 2 2e2-2 e 2 + e 2 + C D) 2 2e2-2 e 2 + C 7) ln d 7) A) ln C B) ln - + C C) ln C D) ln C 8) - d 8) A) - 2 ( - ) /2 - ( - ) /2 + C B) - 2 ( - ) /2-2 ( - ) /2 + C C) 2 ( - ) /2 + ( - ) /2 + C D) - 2 ( - ) /2 + ( - ) /2 + C 8

9 9) (2 + ) e-6 d 9) A) e e -6 + C B) -2 e-6-90 e-6 + C C) - e -6-9 e -6 + C D) - e -6 - e-6 + C Find the integral. 0) ( - ) ln d 0 A) -.6 B) -.9 C) 7.09 D) 2. 0) Solve the problem. ) The rate of growth of a microbe population is given by mʹ() = 0e2, where is time in days. What is the change in population in the first days? ) A),29 B) 0,272 C) 60, D),6 2) The rate of water usage for a business, in gallons per day, is given by W(t) = 69te-t, where t = the number of hours since midnight. Approimately how many gallons of water does the business use in the first 7 hours of the day? 2) A) 690 gallons B) gallons C) 700 gallons D) 69 gallons 9

10 Answer Key Testname: MATH 2 CH REV ) A 2) D ) A ) A ) A 6) C 7) B 8) C 9) C 0) D ) B 2) C ) D ) C ) B 6) D 7) C 8) B 9) D 20) D 2) A 22) C 2) B 2) B 2) A 26) D 27) D 28) A 29) B 0) C ) C 2) D ) A ) A ) A 6) A 7) B 8) C 9) C 0) C ) C 2) C ) B ) C ) D 6) C 7) D 8) A 9) C 0) D 0

11 Answer Key Testname: MATH 2 CH REV ) D 2) A