Let A = {2, 4, 10, 17}, B = {17, 15}, and C = {10, 17, 22}. Find n(A?B?C).
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Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cone r(r, ?) = r cos ?i + r sin ?j + 3rk; P = 
.
What will be an ideal response?
The outside wall of a house is 11 feet high. From the western wall, the roof rises 6 feet over a horizontal span of 24 feet and then descends at the same rate over another horizontal span of 24 feet to the eastern wall of the house. For this problem, take the origin to be at the base of the west wall, and take west-to-east to be the positive direction. ? ? A: Find a formula that describes the ascending part of the roof. Use d for the horizontal distance east of the west wall and H for the height above the ground, both in feet. ? B: Find a formula that describes the descending part of the roof. ? C: Find a formula for a piecewise-defined function that describes the entire roof line. ?
What will be an ideal response?
Use the geometric series f(x) = 
= 
, for 
< 1, to find the power series representation for the given function (centered at 0). f(3x) = 
A. 
B. 
C. 
D. 
Solve.The amount of paint needed to cover the walls of a room varies jointly as the perimeter of the room and the height of the wall. If a room with a perimeter of 35 feet and 
walls requires 
of paint, find the amount of paint needed to cover the walls of a room with a perimeter of 55 feet and 8-foot walls.
A. 44 quarts B. 8.8 quarts C. 440 quarts D. 4.4 quarts