A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus F1, which is 44 feet
above the vertex of the parabola. The hyperbola's second focus F2 is 8 ft above the parabola's vertex. The
vertex of the hyperbolic mirror is 4 ft below F. Find the equation of the hyperbola if the center is at the origin
of a coordinate system and the foci are on the y-axis.
Complete the equation

_ -_ =1

Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a seven or king. (b) compute the probability of randomly selecting a seven or king or jack. (c) compute the probability of randomly selecting a queen or spade.

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

Line l passes through points (0,4) and (3,6) what is the slope of a line that is parallel to line l -2/3 -3/2 2/3 3/2