Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone
z = \sqrt{x^2+y^2} and the sphere x2 + y2 + z2 = 32.

If the ratio of sum of the first m and n terms of an ap is m2 : n2 , show that the ratio of its mth and nth terms is (2m − 1) : (2n − 1).

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3? f(x) = (x + 3)2 + 3 f(x) = (x + 3)2 − 6 f(x) = (x + 6)2 + 3 f(x) = (x + 6)2 − 6

The graph of a curve that passes the vertical line test is a: