please help me with this!! I don't need the work just the answers

Describe the concavity for the function f(x) = 2x - 3x2 - 12x + 3. 68 What is the inflection point of the graph off (x) = x - 6x + 4? Of(x) is concave up for the interval (-co, 2 ) and concave down for the interval ( 2, co ) O The point of inflection is (1, 3) f(x) is concave up for the interval (-co, 2 ) and concave up for the interval ( 7, Co). The point of inflection is (-1, 0). Of(x) is concave down for the interval (-oo, - ) and concave up for the interval ( , co). The point of inflection is (2, 32). 73 Of(x) is concave down for the interval (-0o, 7 ) and concave down for the interval ( 7, co ) The point of inflection is (0, 4). Describe the concavity for the function f (x) = x4. A spherical balloon is expanding with time where r = 2t + 4. What is the formula for the rate of change of the volume of the balloon with respect to time? O f(x) is concave down for the interval ( - co , co ) and concave up for the interval (0, co ). O di = 8x ( 2+ + 4) 2 O f(x) is concave down for the interval ( - co , co ). di = 16x(21 + 4)2 O f(x) is concave up for the interval ( - co , 0) and concave down for the interval (0, co ). o dy = 4n(21 + 4)2 O f(x) is concave up for the interval ( - co , co ). 92 o dy = 12x(21 + 4)2 64 65 66 67 68 What is the relative minimum value of the function f(x) = -x + 3x2 + 9x? A square with side x cm, is changing with time where x(t) = 4t - 2. Of(x) has a relative minimum value at x = -1, and its value is f(-1) = 5. What is the rate of change of the area of the square when t = 3 seconds? O f(x) has a relative minimum value at x = 1, and its value is f(1) = -5. 7 O di dA = 96 cm/sec O f(x) has a relative minimum value at x = 1, and its value is f(1) = 27. di - = 80 cm/sec O f(x) has a relative minimum value at x = -1, and its value is f(-1) = -5. dA di = 10 cm/sec 92 O dA = 72 cm/sec What is the inflection point of the graph of f (x) = -x4 + 24x2 - 27? The points of inflection are (-2, 53) and (2, 53). The area of a rectangle is A = bh. Assume that b + 2h = 28. The points of inflection are (0, 0) and (2, 53). The points of inflection are (-2, 53) and (0, 0). 72 What is the maximum area of the rectangle? O A = 243 O A = 162 The points of inflection are (2, -53) and (2, -53). O A = 108 O A = 98 Iff(x) = x2+ 4x + 3, use Rolle's Theorem to find all the values of c in the interval [-4, 0] such that f '(c) = 0. OC= -2, c=0 O C = 0, C = 2 OC= -2. 0=2 Oc= -2 Assume that a rectangle with sides x and y is expanding with time. Let y = 2x and x(t) = 2t + 5. What is the rate of change of the area when t = 2? O JA = -72 di (x) = x' + 2x, find all the values of c on the interval [1, 2] that satisfy the Mean Value Theorem. O JA = 72 C = -V21 O an = 60 di V21 84 O dA = 84 C = V21 C = V21 A student throws a set of keys vertically upward at her sister at time t = 0, then it comes back down and at time t = 1 it is caught. Can Rolle's Theorem be applied to show that at some point between t = 0 and t = 1, the keys have achieved a maximum and or minimum speed? The conditions of Rolle's Theorem are met and Rolle's Theorem does not state that you can find min or max points. The conditions of Rolle's Theorem are not met and Rolle's Theorem does state that you can find min or max points. The conditions of Rolle's Theorem are not met and Rolle's Theorem does not state that you can find min or max points. The conditions of Rolle's Theorem are met and Rolle's Theorem does state that you can find min or max points