2.
which polynomial function gets larger and larger in the negative direction as x gets
larger and larger in the negative direction?
a. f(x) = 5x2 – 2x + 1
b. f(x) = 6x3 + 4x2 – 15x + 32
c. f(x) = 7x4 – 2x3 + 3x2 + 8x – 10
d. f(x) = 8x6 + 1

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)