Use l'Hpital's Rule to find the limit. 5-5 sin 0 - lim 2 1 + cos 20 lim 0 2 5-5 sin 0 1 + cos 20 (Type an exact answer.) Find the antiderivative for each function when C equals 0. Check your answers by differentiation. 4 ==X (a) h(x) = 7 (a) H(x) = (b) G(x) = (c) K(x) = - 1 4 1 1 (b) g(x) = 7 (c) k(x) = - 7x 8 Find the smallest perimeter and the dimensions for a rectangle with an area of 81 in. 2 in The smallest perimeter for a rectangle with an area of 81 in is (Simplify your answer.) in. The dimensions of this rectangle are in. (Simplify your answers. Use a comma to separate answers.) Find the most general antiderivative or indefinite integral. Check your answer by differentiation. 12+3 (2x-7x+6) dx (2x - 7x+6) dx = Find the graph given the following table. f'(x) 0 X a b 3 100 does not exist Choose the correct graph below. A. B. X 0- 0 a bc 0- 0 a b c C. D. 0+ 0 a b c 0 a b c Use l'Hpital's Rule to find the limit. lim x12x x-012-1 lim x12x 012-1 = (Type an exact answer.) Use l'Hpital's Rule to find the limit. 3 - 6t + 40 lim t-4 -t-20 + - 6t + 40 lim (Type an exact answer.) 2 t 4 t t-20 Does the function satisfy the hypotheses of the mean value theorem on the given interval? Give reasons for your answer. f(x) = x (8 ) ; [0,8] Choose the correct answer. A. No, f(x) is continuous at every point in [0,8] but is not differentiable at every point in (0,8). B. Yes, f(x) is continuous at every point in (0,8) and differentiable at every point in [0,8]. C. No, f(x) is differentiable at every point in (0,8) but is not continuous at every point in [0,8]. D. Yes, f(x) is continuous at every point in [0,8] and differentiable at every point in (0,8). Two sides of a triangle are 10 and 4. Find the size of the angle 0 (in radians) formed by the sides that will maximize the area of the triangle. The size of the angle (in radians) that will maximize the area of the triangle is (Type an exact answer, using as needed.)