Need help with screenshots one through fifteen (1-15). All screenshots are one-parted and all are multiple choice. Thus, this should be relatively straight-forward. If you have any questions, do not hesitate to comment below. Also, number your solutions (do NOT need explanations, only the solutions)! Thanks.
1 The price per share of a stock can be approximated by the function S(t) = t(30 - 4!) + 23, where t is time (in years) since the stock was purchased. Find the average price of the stock over the first 4 years. Round the answer to two decimal places if necessary. O A. $61.67 B. $36.00 0 C. $73.67 0 D. $246.67 2 The function represents the rate of flow of money in dollars per year. Assume a 10-year period and find the present value. f(x) = 500 at 7% compounded continuously . . . . . O A. $10,689.90 O B. $3,547.04 O C. $3,595.82 O D. $7,241.09 Next3 Determine whether the improper integral is convergent or divergent. 10x# + 5 dx 0 2x + 5x +4 . . . . . O Convergent O Divergent Next4 Find the volume of a right circular cone with a height of 10m and a base radius of 6 m. O A. 120 m3 O B. 60 3 It m's O C. 91am3 O D. 360 Next5 Find the volume of the solid of revolution formed by rotating about the xaxis the region bounded by the curves. y=x+1,y=0, x= 1,x=5 O A. 31: O B. 721: O C. 367: O D. 35 1l 2 6 Use integration by parts to find the integral. 5 x In x dx A. 5 2 Inx - 2 X A+ C OB. 5 2 Inx- 5 2 + C 4X O c. 5 5 7XInx - -x+C O D. 2 In x - 4 + C Next7 Find the average value of the function on the given interval. Round the answer to two decimal places if necessary. f(x) = 1x+2; [1, 23] . . . . . O A. 3.63 O B. 3.47 O C. 3.70 O D. 5.45 Next8 Determine whether the improper integral is convergent or divergent. co J14ex dx 0 O Divergent O Convergent 9 Determine whether the improper integral is convergent or divergent. co ux 2x2 O Convergent O Divergent 10 The rate of growth of a microbe population is given by m'(x) = 30x 2 2x, where x is time in days. What is the nei growth between day 1 and day 3? O A. 30,161 0 a. 15,073 0 c. 30,175 0 D. 15,062 11 Find the integral by using integration by parts or other techniques. Round the answer to four decimal places if necessary. [ x2 7/ x3 + 8 dx o . . . . . O A. 442.7920 O B. 811.7853 O C. 618.9889 O D. 614.9889 Next12 The function represents the rate of flow of money in dollars per year. Assume a 10-year period and find the present value. f(x) = 500e .04% at 7% compounded continuously . . ... A. $29,013.64 O B. $5,830.98 O C. $22,497.65 O D. $4,319.70 Next13 Evaluate the improper integral. If the integral does not converge, state that the integral is divergent. m JlZerzx dx 0 o A. 5.5 O B. -5.5 O C. 0 O D. Divergent 14 Suppose the number of items a new worker on an assembly line produces daily after t days on the job is given by 25 + 2t. Find the average number of items produced daily in the first 20 days. O A. 900 O B. 40 O C. 48 O D. 45 Next15 Use integration by parts to find the integral. ( 3 x + 5 ) e - 2* dx A. 3 13 -2* + e - 2x + C O B. - 6x e -2X - 22 e -2X + C O C. 3 2 ' "X e - 2X _ e -2x + C OD. 3 3 - 2X + C Next