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17) Graph f (x ) = (x+3)e^−x. Include any possible local minimums or maximums, any inflection...

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) .

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