Finding the Volume Under a Surface Above a Triangle

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Homework Help Overview

The original poster attempts to find the volume under the surface defined by the equation z=(y)(x)^2, specifically above a triangular region with vertices at (4,0), (1,0), and (2,1). The problem involves setting up a double integral to calculate this volume.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster has proposed limits of integration and an integrand for the double integral but seeks confirmation on their correctness. Other participants have expressed a lack of engagement, with minimal responses to the inquiry.

Discussion Status

The discussion has seen limited interaction, with one participant affirming the original poster's approach. However, there is no extensive exploration of the reasoning or alternative methods, and no consensus has been reached regarding the setup.

Contextual Notes

There appears to be a lack of detailed responses from other participants, which may indicate uncertainty or the need for further clarification on the problem setup.

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Homework Statement


find the volume under the surface z=(y)(x)^2 and above the triangle with vertices (4,0) (1,0) (2,1)



Homework Equations





The Attempt at a Solution



i got my limits of integration to be y=0 to y=1 and x=y+1 to x=4-2y. my integrand itself is (y)(x)^2dxdy

i just wanted to see if this is correct.
thanks!
 
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help please!
 
nobody ?
 
Mark44 said:
That should work.

^^^ thanks mark
 

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