Homework: Section 4.2 & 4.3 p1 Question 11, 4.3.25 HW Score: 76.92%, 10 of 13 points Part 2 of 2 Points: 0.5 of 1 Save Simplify the function before differentiating. ex +5e 3x f ( x ) = P X f(x) = 1+5 ex (Simplify your answer.) ex +5e 3x dx = X= Homework: Section 4.2 & 4.3 p1 Question 12, 4.3.37-PS HW Score: 76.92%, 10 of 13 points Part 3 of 4 Points: 0.5 of 1 Save The velocity of a parachutist during free fall is f(t) = 82 (1 - e -0.12) meters per second. Answer the following questions using the graph. (Recall that acceleration is the derivative of velocity.) 80- 60- 50-7 40- 30- 20- 10 20 30 (a) What is the approximate velocity when t = 8 seconds? 50 m/sec (b) What is the approximate acceleration when t = 0? 10 m/sec2 (c) Approximately when is the parachutist's velocity 31 m/sec? seconds= Homework: Section 4.2 & 4.3 p1 Question 13, 4.3.39-LS > HW Score: 76.92%, 10 of 13 points Points: 0 of 1 Save X The population of an aquatic species in a certain body of water is approximated by the logistic function 25,000 30,000- G(t) = 1+ 12 e - 0.45t . Where t is measured in years. 20,000- Calculate the growth rate after 5 years. 10,000- 8 12 16 20 The growth rate in 5 years is. (Do not round until the final answer. Then round to the nearest whole number as needed.)Find f'(x). f(x) = e Vx -5 Choose the correct setup below to start differentiating the function. O A. f'(x) = = (ev x) - ev5 ax ( ev x ) O B. f'(X)= ax ( ev 5 ) c. f'( x) = e Vx-5 d dx ( 1/ x - 5 ) O D. f' ( x ) = ax (ev x ) - d (ev 5 ) f'(x) =Question 8, 4.5.26-Setup & Solve HW Score: 95%, 14.25 of 15 pomts (o) _ Homework: Section 4.5 8. 4.6 9 Points: 025 GM 5 In x + 8 ' The function f(x) = f has a relative extreme point for x > 0. Find the coordinates of the point. Is it a relative maximum point? I Identify how to nd the extreme values of the function and the derivative of the function required to find it. Select the correct choice below and ll in the answer box to complete your choice. A- The extreme values are always found by substituting 0 for x in the first derivative. The rst derivative is f'(x) = "'3- (3+5lnx) The extreme values occur at the xcoordinate where the rst derivative is equal to 0. The rst derivative is f'(x) = 2 . x C- The extreme values occur at the xcoordinate where the second derivative is equal to 0. The second derivative is f\"(x) = D- The extreme values are always found by substituting 0 for x in the second derivative. The second derivative ls f\"(x) : Choose the correct answer below and, if necessary, ll in the answer box within your choice. The relative extreme point is (Type an ordered pair. Type your answer using exponential notation.)