- #1

Lothar

- 19

- 0

## Homework Statement

A wire lies along the piecewise linear curve extending from the point (2,2) to the point (12,4) to the point (12,9). If the density of the wire is given by (xy)=2xy+6x, use a line integral to find the mass of the wire.

## Homework Equations

## The Attempt at a Solution

I know I need to do two separate line integrals and add them.

For the first half (2,2 to 12,4) I got

integral from 2 to 12 of [(2(t)((1/5)t+(8/5))+6t] sqrt(1+(1/5)^2) which comes out to be 890.629

For the second part, I know it should be integral from 4 to 9, but I'm having issues finding the correct equation for the line from (12,4) to (12,9).

I've tried just using the y parametrization of p(x,y) which is <t,(1/5)t+8/5>, but I'm not getting the right answers.

Can anyone help me out with this? I have an exam during the next week.

Thank you.