Identify which of the twelve basic functions listed below fit the description given. y=x, y=x2, y = x3, y = |x|jy=y=ex, y=vx, y = ln x, y = sin x, y = cos x, y = int (x), y =
1
1+ e-X
The one function that is decreasing (0.00).
a. y = x1
1
y =
1+ e*
b. y = ln x
d
X

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)