In: Math
17) Graph f (x ) = (x+3)e^−x. Include any possible
local minimums or maximums, any inflection points, horizontal
asymptotes, and vertical asymptotes.
18) Find the dimensions of a rectangle with area 6400 ft^2 whose
perimeter is as small as possible.
19) Find f (x ) if f '( x) = sin x + 5 cos x where f(0) = 2
20) A particle is moving in a straight line with acceleration a(t)
= e^t − 3t at time t. If s(0) = 0 and v (0) = 6 , find it's
position at time t, s(t) .