Two hoats leave the same place at the same time. The first boat heads due north at 10 kilometers per hour. The second boat heads due west at 16 kilometers per hour. After 2.5 hours, how fast is the distance between the boats increasing? C! A. 1:89 kilometers per hour C! E. 21:\"39 kilometers per hour C\" (3- 31.339 kilometers per hour 0 D. 41:39 kilometers per hour 0 E. sass kilometers per hour A triangular prism, with bases consisting of equilateral triangles of side length s, has height h and a volume of 250. If the surface area of the prism includes the areas of all the sides and the bases, what value of s minimizes the surface area of the prism? O A. 5 B. 10 O C. 15 O D. 20 O E. 25Gia has just purchased a car whose value in dollars, because of depreciation, will be worth C = 25, 000e . after t months have passed. At the same time, she is saving $100 per month. (Interest on her savings can be ignored.) Which of the following best represents when the combined value of her car and savings will start to increase with time? O A. 28.8 months O B. 40.2 months O C. 57.6 months O D. 74.9 months O E. 115.1 monthsFind the value of c that satisfies the Mean Value Theorem for f (@) = In (@ ) on the interval [1, e]- O A. c= e- 2 O B. c= e-1 O c. c = 2e - 2 O D. C = 2e - 1 O E. c= e+1This question has two parts. First, answer Part A. Then, answer Part B. Part A At time t = 1 an object moving along a straight line with a constant acceleration of 3m/s is located at s (1) = 5 and has a velocity of v (1) = 10. What is the equation for the velocity as a function of time? O A. v(t) = 7+ 1.5t O B. v(t) = 7+ 3t O c. v(t) = 10 - 1.5t O D. v(t) = 10 + 1.5t O E. v(t) = 10 + 3t Part B What is the equation for the location as a function of time? O A. s (t) = -2.75 + 7t + 0.75t2 O B. s (t) = -3.5 + 7t + 1.5+2 O C. s (t) = 5 + 10t - 0.75+2 O D. 8 (t) = 5 + 10t + 0.75t2 O E. s (t) = 5 + 10t + 1.5t2On which of the following intervals is the graph of the function f (@) = concave up? O A. 130 O B +1 O c. -1 > 1 O E. There is no interval on which f (@ ) is concave up