- #1
MasterWu77
- 21
- 0
Homework Statement
Compute the total mass of a wire bent in a quarter circle with parametric equations: x=cos(t), y=sin(t), 0[tex]\leq[/tex] t [tex]\leq[/tex] [tex]\pi[/tex]/2
and density function [tex]\rho[/tex](x,y) = x^2+y^2
Homework Equations
not exactly too sure which equations if any i need to use. maybe the jacobian
The Attempt at a Solution
i simply substituted the x and y into the density function to get
(6cost)^2 + (6sint)^2 and took the integral of that with the bounds of integration from 0 to pi/2. the answer i am getting is 56.549 and is wrong and I'm not sure if there's an extra step i need to do