Possible Line Derivative Problem?

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Homework Help Overview

The discussion revolves around calculating the work done by a force field represented as a vector function along a specified path parameterized by trigonometric functions. The problem is situated within the context of line integrals in vector calculus.

Discussion Character

  • Exploratory, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to begin the problem, specifically questioning whether to substitute the path equation into the force vector and how to differentiate the path vector. Some participants clarify the nature of the expressions involved and suggest that the integral should conclude with "dt".

Discussion Status

Participants are engaging with the problem, providing clarifications and affirmations about the original poster's understanding of the expressions involved. There is a sense of progression as the original poster indicates they feel more confident about the next steps after receiving feedback.

Contextual Notes

The original poster has not made any attempts to solve the problem and is seeking guidance on the initial steps, indicating a possible lack of familiarity with the concepts involved in line integrals.

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Homework Statement


Cacualte the work done by the force field F=(x,y,z) along the path (cos(t),sin(t),t), for 0≤t≤3∏

Homework Equations



∫F*ds= ∫F(c(t))dot c'(t) ?

The Attempt at a Solution


No attempt, I don't know where to start. I'm not sure how to start it. Notice, I posted question mark by the relevant equation. Do I plug the path equation into the F vector --- take the derivative of the path vector for c'(t)?

Does this sound right?
 
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Thanks Simon... I know what to do from there. I just was afraid I was going down the wrong path.
 
Chears.
 

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