We thoroughly check each answer to a question to provide you with the most correct answers. Found a mistake? Let us know about it through the REPORT button at the bottom of the page.
Find an equation for the surface obtained by rotating the parabola y = x^2 about the y-axis.
Answer: y = x^2 + z^2
Rotate y = x^2 around the y-axis
When rotated the traces parallel to the xz-plane are circles. So the equation should be that of a circle when y = k.
k = x^2
we just have to add a + z^2
y = x^2 + z^2