Liz lives 3 miles from the library. Brendan lives 3 times as far as Liz.

Andy lives 3 times as far as Brendan.

Eddie lives 3 times as far as Andy. Which exponential expression represents how far Eddie lives from the library?

A.3 the the 5th power miles

B.4 to the 3rd power miles

C.3 to the 4th power miles

D.3 to the 3rd power miles

Write the equation for the parabola that has x− intercepts (−2,0) and (4,0) and y− intercept (0,4).

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

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)