Let be the curve of intersection of the parabolic cylinder and the surface

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Let

C

be the curve of intersection of the parabolic cylinder

x^{2}=2 y

and the surface

3 z=x y

. Find the exact length of

C

from the origin to the point

(6,18,36)