I need solve this assignment of MAT 121 Calculus 1

Question 1: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle'sTheorem. a. x) = x2 + 4x - 5, [-5,1] 5 2 b' f(x) = 31115o Question 2: Find the limit. Use I'Hospital's Rule where appropriate. Ifthere is a more elementary method, consider using it. If I'Hospital's Rule does not apply. . ?1 a. llmx3 x.1x '1 b lim5mm 1.0 x32x c. lim (1yr xrw I Question 3: Find the intervals on which f is increasing or decreasing, and find the local maximum and minimum values off(x). a. x) = 2x3 + x2 5x+10 b. f(x) = 5x210 3x15 Question 4: Find the intervals on which f is concave upward or concave downward, and find the inflection points off(x). 0. f(x) = ln(4x2 16x) b. fix) = sin'lx