Suppose that f(x) and g(x) are differentiable functions such that f(6)=3, f'(6)=5, g(6)=7, g'(6)=1.. find d/dx[f(x)g(x)]|x=6.

Write a division equation you could use to find a, the number of miles ava is in charge of. what is the value of a? write your answer is simplist form

Find the multiplicative inverse of 8-12i

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)