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Math Help - vector fields

  1. #1
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    vector fields

    Hello, I'm having trouble understanding work done by vector fields following a specific path. Here's a specific question I'm stuck on from my homework:

    Find the work done by the force field F = ⟨x sin y , y⟩ on a particle that moves along the parabola y = x^2 from (−1,1) to (2,4).

    thank you!
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  2. #2
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    Re: vector fields

    Hi upanddown.

    I write on paper faster than typing LaTeX with an iPad. So here's a photo.

    vector fields-image.jpg

    Hope this helps.
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  3. #3
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    Re: vector fields

    wow thank you!! this helped a whole lot. I was setting my t bound to the y values and not the x values which was giving me the wrong answer.
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  4. #4
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    Re: vector fields

    No problem. It was fun working one of those. Hadn't done one in a long time.
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  5. #5
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    Re: vector fields

    so if the vector r is already parametrized, how do I know how to parametrize the vector F?

    for example, the vector <x,-y> if I already know r=<t^2,t^3>
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  6. #6
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    Re: vector fields

    oh nevermind, I just figured it out. thank you anyways!
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