Question
Asked Oct 15, 2019
37 views

Find the mass of the triangular region with vertices (0,0), (4, 0), and (0, 1), with density function ρ(x,y)=x^2+y^2

check_circle

Expert Answer

Step 1

Please see the white board. Please note the location of the three points O, A & B.

Equation of AB can be derived as:

(y - 1) = (x - 0)(0 - 1) / (4 - 0)

Hence, y - 1 = -x / 4

Hence, y = 1 - x/4

help_outline

Image Transcriptionclose

2 B (0,1) A (4,0) ㅇ(0p) 2 4 -2 -4 -2 44

fullscreen
Step 2

R is the region of integration which should be:

y ...

help_outline

Image Transcriptionclose

dV p(x, y)dydx - v| +y2)dydx V= R

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Integration