Find the area of the loop using Green's Theorem

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Homework Help Overview

The discussion revolves around finding the area of a loop using Green's Theorem, a topic within vector calculus. The original poster expresses difficulty due to a lack of class attendance and support from peers.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the problem statement and suggest following its directions. The original poster attempts to relate variables through parametric equations but questions how to express one variable in terms of another.

Discussion Status

Some guidance has been offered regarding the initial steps to take based on the problem statement. Participants are exploring different interpretations of the relationships between the variables involved.

Contextual Notes

The original poster notes a lack of resources and support from their professor and classmates, which may impact their ability to engage with the problem effectively.

coolusername
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Homework Statement



Problem in attachment.


Homework Equations





The Attempt at a Solution



Unfortunately I was unable to attend my only class where my proffessor taught this method of solving area. Plus my prof and classmates won't help me.

Does anybody know how to solve area using this method?
 

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Well, as a start, you can't go wrong by following the directions in the problem statement.

Why don't you try that and see what happens? You can always ask a follow-up question if you get stuck along the way.
 
y = tx

dy/dt = x

dy = xdt

I don't know what x should equal in terms of t.

Am I on the right track?
 
coolusername said:
y = tx

dy/dt = x

dy = xdt

I don't know what x should equal in terms of t.

Am I on the right track?

Put y = tx in the original equation to get x in terms of t.
 

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