Please complete questions 1-5.

1. Find the area between the following two curves: f(X) = 4x2 and g(X) = X. Remember to draw a graph. 2. Use Section 6.2: Find the volume of the solid formed by revolving about the x-axis the region bounded by the curves y = x, x = 0, and X = 4. 3. Use Section 6.3: Find the volume of the solid formed by revolving about the y-axis the region bounded by the curves y = x, x: 0, and X: 4. 4. A force of 30 lbs. stretches a spring from a natural length of 5 inches to a length of 10 inches. How much work was performed in stretching the spring to this length? 5. Find the uid force exerted on the given plate, submerged in water with a weight density of 62.4 lb/ft3. The plate is submerged vertically. The dimensions of the plate are 5 feet by 5 feet. The top of the plate is 1 foot under the water