Plz solve clearly with final answer circled

7. The graph of the function f(x) = x is given below. Which of the following definite integrals yields the area of the shaded region? 0.5 1.0 1.5 2.0 a. [x dx b. [ 2 - x dx c [x dx d. [2-x dx 8. Given =7x5 +2 , calculate the original equation, y, if the original equation goes dx through the point (0, 7). a. y=35x +2x+7 b. y=7x+x2 +7 c. y =-x+9 6 d. y=-x +2x+7 9. Sketch the graph of the given function by determining the appropriate information and points from the first and second derivatives: y = 2x -24x-7 a. What are the coordinates of the relative maxima and relative minima? 10. Calculate the integral: [ x (7+ x* ) dx 12. We need to enclose a field with a fence. We have 550 feet of fencing material and a building is on one side of the field. Therefore, fencing will not be needed on that side. Determine the dimensions of the field that will enclose the largest area