Problem #4: The graph of f' is given to the right. Which of the below graphs is a graph of its antiderivative f? (A) (B) (C) (D) (E) (F) (G) (H)Problem #3: A rectangular plot of land is to be enclosed by a fence. Furthermore an additional section of fence is set parallel to one side. cutting the plot into two smaller rectangles. If 144 meters of fence are available. what is the greatest area of land that can be fenced in this manner'.j \fProblem #5: (a) Vx 1 Suppose that f'(x) = for x > 0, and that f(1) = 1. Find f(4). (b) Suppose that f'(x) = 4 V1 - and that f(0) = 1. Find f( =).Problem #2: Suppose that a right triangle has legs of lengths 2 cm and 6 cm. (Note that the legs of a right triangle are the two sides that are not the hypotenuse.) A rectangle is inscribed in this right triangle so that two sides of the rectangle lie along the legs. Find the largest possible area of such a rectangle.Problem #1: A box with an open top is To be constructed from a square piece of cardboard. 2 ft wide. by cutting out a square from each of The four corhers and bending up The sides. Find Tile largest volume that such a box can have.