Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4^-x and y - 2^-x+1 intersect are the solutions of the equation 4^-x= 2^-x+1, (4 points)
Part B: Make tables to find the solution to 4^-x= 2^-x+1. Take the integer values of x between -2 and 2. 14
points)
Part C: How can you solve the equation 4^-x= 2^-x+1 graphically? (2 points)
110 points)

For every corresponding pair of cross sections, the area of the cross section of a sphere with radius r is equal to the area of the cross section of a cylinder with radius and height 2r minus the volume of two cones, each with a radius and height of r. a cross section of the sphere is and a cross section of the cylinder minus the cones, taken parallel to the base of cylinder, is the volume of the cylinder with radius r and height 2r is and the volume of each cone with radius r and height r is 1/3 pie r^3. so the volume of the cylinder minus the two cones is therefore, the volume of the cylinder is 4/3pie r^3 by cavalieri's principle. (fill in options are: r/2- r- 2r- an annulus- a circle -1/3pier^3- 2/3pier^3- 4/3pier^3- 5/3pier^3- 2pier^3- 4pier^3)