Thinkwell | 401 Test 4: Chapter 7 Applications of fferentiation 11/19/21, 1:27 PM Suppose x2 + 2 = 16. O Find dar 2 O O O 11 Suppose f(x) is a continuous differentiable O f(x) is always increasing. function and you are given that f"(x) is O f'(x) is always increasing. always positive. Which of the following Of"(x) is always increasing. statements must be true? None of these must be true. An interstellar colonist is raising Snuffles and decides to O oft 2 build a new Snuffle pen along the outside of his rectangular 900 ft 2 barn. Snuffles like to live in right triangles, so the colonist wants the pen to be in the shape of a right triangle, with one 225 ft2 side flush with the barn. The colonist has 60 feet of fence 450 ft2 material. Using the barn as one side of the right triangle, what is the maximum area the colonist can enclose? A 3-egg omelette is hurled by a disgruntled 400 feet customer over the side of a building. The 5 seconds distance of the omelette from the customer in 160 feet per second feet is given by P (t) = 16t2. O 0 feet per second t is measured in seconds. The omelette will hit the ground in 5 seconds. With what velocity does the omelette hit the ground