Question

asked 2021-09-03

Find a vector function that represents the curve of intersection of the two surfaces. The cylinder \(\displaystyle{x}^{{2}}+{y}^{{2}}={4}\) and the surface z=xy

asked 2021-09-15

Given the cone \(\displaystyle{z}=\sqrt{{{x}^{{2}}+{y}^{{2}}}}\) and the plane z=5+y.

Represent the curve of intersection of the surfaces with a vector function r(t).

Represent the curve of intersection of the surfaces with a vector function r(t).

asked 2021-01-06

\(\displaystyle{F}{\left({x},{y},{z}\right)}={x}{y}{i}+{3}{z}{j}+{5}{y}{k}\), C is the curve of intersection of the plane \(x+z=10\) and the cylinder \(\displaystyle{x}^{{2}}+{y}^{{2}}={9}\).

asked 2021-01-08