Answer Happy

Quiz 1: Show All Work! Name: 1. Set up an integral and find the area bounded by the graphs y = 2x-4 and y² = 4x. Show you work calculating the integral. 2. Set up an integral and find the volume of the solid generated by revolving the area bounded by x = 0, y =5, and y about the x-axis using the shells method. 3. Set up an integral and find the volume of the solid generated by revolving the area bounded by x = 1, y =5, and y= about the x = -1. y² 4. Consider the square triangular prism shapes below, completely filled with water. The square triangular prism has height 8 and base length a = 3. DO NOT SPEND TIME INTEGRATING THESE. a. Set up the integral for the force of the water on the triangular front face of the square triangular prism. V=1/2₂h0² W b. Set up the integral for work done in pumping the water out of the right square pyramid to a point 2 feet above the top edge using an axis system that has the y-axis going through the base of the pyramid. a x=1 9.5 315