Answer all, thank you

Question 1 (14 points) 7t9 1. Consider the function: 30') = m. Find g, (4). 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 520 feet of fencing available. USE CALCULUS to find the dimensions of the garden that maximize area and find the maximum W a rea. Question 2 (7 points) 1. Compute the integral: f(4x6 4x7 + % 36")dx 2. The graph below is the graph of the functionf(x) = x2 + 6x + 7. USE CALCULUS to find the area of the shaded region. y=f(X)