1. A rocket carrying fireworks is launched from a bill 80 fact above a lake. The rocket will fall into the lake after exploding at its maximum height. The rocket's height above the surface of the lake is given
by the function h(t) = -16t^2+64t + 80.
A. What is the height of the rocket after 2 seconds?
B. What is the maximum height of the rocket?
C. How many seconds after the rocket is launched will it hit the lake?

Ab and bc are tangent to circle d. find x is ab = 3x + 8 and bc = 26. find 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)

What is the equation of the graph below? a) y = sec(x) + 2 b) y = csc(x) + 2 c) y = csc(x + 2) d) y = sec(x + 2)