Question

Let L be the line y = 4, x = 7 z. If we rotate L around the x-axis, we get a surface whose equation is A x^2+B y^2+C z^2 = 1, where

Answer 1

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Answer 2

B= 1/16 just don't know how to figure out A and C

Answer 3

Hint: Choose a value for z. That will allow you to find a point in the line. That point also belongs to that surface (which is a cone). Replace those values of x, y and z inside the equation of the surface. You will get a linear equation involving A, B and C

Pick two more values for z. Now you have three linear equations in the variables A, B, and C. Solve that system

I would recommend using z = 0, 1, -1