CALCULUS

O1 . (15 points) Let f(a:) = 63:" 161:3 + 1. Find . (10 points) Find and Classify all local extrema ( . (15 points) A ball is thrown upward with an initial . (15 points) Evaluate the integral the intervals of increase/ decrease, any local extrema, the intervals of concavity, and any points- of ineotion. as either local. maxima or minima): a: ' ft?) : 3:2 +771. . (10 points) Find fa) if f\"'(:c) = i + .73, MD a 3 f'(0) = 3, and MO) = 3- . (15 points) A poster is to have an area of 180 square inches with 1inch margins at the bottom and sides and a 2-inch margin at the top. What dimensions will give the largest printed area? velocity of 48 feet per second from ground. Find its height above the ground 13 seconds . Determine the maximum height of the ball, and determine 3 [t 592 + 1 dz: using the limit denition (i.e., Riemann the edge of a cliff 432 feet above the later (as a function of t) when it hits the ground. 2 sums). A150-1 CHECK YOUR ANSWER using the fundamental theorem of calculus. [Note that n _ _ n. ,5 \"(-+1). 71. (,2;n(n-f_-l)(2'rt+l) i=1 7. (20 points) Evaluate the followrng: '7 (a) i [/12