1. Consider the function: g(t) = 7t+2 . Find g'(3). Your answer should be an integer or fraction (not decimal) in reduced form. 2. USE CALCULUS to find the intervals of increase and decrease for the function: y = 2x3- 3x2 - 36x + 7. Then find all relative maxima and minima. 3. A gardener would like to fence in a region with 4 separate areas as shown in the picture below. They have 580 feet of fencing available. USE CALCULUS to find the dimensions of the garden that maximize area and find the maximum W area. 4. Compute the integral: f (9x 5 - 7xc 4 + 3 - 5ex) dx 5. The graph below is the graph of the function f (ac) = -x2 + 5x + 6. USE CALCULUS to find the area of the shaded region. y=f(x) X