Question

please solve out these questions with step by step work. the answer key is attached as well. thank you please answer asap. answers 13-15 have answers, 16 does not, but still please solve it out to the best ability possible. thank you again.

these pics are more clear of the questions

13. Find f'x) f(x) + 54 14. The cost finsction for a businessis c)-100D dollars. x-#items a rewrite c(x)- b. Find the marginal cost function e(x) in terms ofx c. Use the marginal cost function C'(x) to estimate the cost of making the 10* item to the nearest cent. cost d. Use the original cost function to find the actual cost of making the 10 item. The position (distance in feet) function ofaptele is given by so-到(레 , to-time in se 15. da) Find the velocity and acceleration at t- 25 seconds. 16. A company's profit function is given by Px)--3x+34 in dollars. a. Find the marginal profit function Hint: rewrite first b. Find the approximate marginal profit on the S item P(5) c. Find the actual marginal profit (to the nearest cent) on the 5t item. P(S)-P4) B. 15x2(c+1)' 5 13. A. rewrite c(x)-100-54(3x +1)-1/3 54 3x+1) C. c'(10) $0.55 D. Actual cost of 10th item: c(10-c(9) $0.59 14. A. Velocity: s'(t) 40(2 +1) (25) 14,568.3 ft/sec B. Acceleration: "()120(2 +1)12 (25)857 ft/sec/sec 15. A rewrite: Px) (-3x +34)4 P'(x)- (x3-3x + 34)" "(3x2-3) B. P(5) $0.43 C. Actual: P(5)-P(4)$0.42 13. Find f'(x) f(x)Vx+) 54 14. The cost function for a business is c(x) 100 dollars. x #items a. rewrite c(x)- b. Find the marginal cost function c'(x) in terms of x c. Use the marginal cost function C"(x) to estimate the cost of making the 10th item to the nearest cent. d. Use the original cost function to find the actual cost of making the 10th item. 15. The position (distance in fet) function of a particle is given by s()-8(2+)- the velocity and acceleration at t 25 seconds. 9 -time in seconds) Find 16. A company's profit function is given by #x3-3x + 34 P(x) Hint: rewrite first in dollars. a. Find the marginal profit function b. Find the approximate marginal profit on the 5th item P'(5) c. Find the actual marginal profit (to the nearest cent) on the 5th item. P(5)-P(4)

Answer 1

13 etjerentiate 3/2