1. The problem statement, all variables and given/known data Let L be the line y=7, x=7z. If we rotate L about the x-axis, we get a surface whose equation is Ax^2 + By^2 +Cz^2=1 What are the values of A, B, and C? 2. Relevant equations Listed above. 3. The attempt at a solution Since y=7, my first point that I plugged into the surface area equation is (0,7,0), and the solution I get is B= 1/49. I also know that rotation of the line will hit the point (0,0,7), yielding C =1/49. Now both of those solutions are correct. However, I can't seem to solve A. I know that x=7z. z = (1/49) so x=(7/49), or x=(1/7) I plug these values in the equation to get the following: A(1/7)^2 +1/49(7)^2 +1/49(7)^2 = 1 Simplification yields: (1/49)A +1 +1 =1 Further simplification yields: (1/49)A = -1 Now shouldn't the answer just be: A= -49? I must have made an arithmetic error or simply chosen the wrong value for x. If someone could please guide me in the right direction it would be most appreciated. Thanks to you guys in advance.