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Math Help - I calculated the curvature, but I want to make sure I did it correctly.

  1. #1
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    I calculated the curvature, but I want to make sure I did it correctly.

    1. Consider the parametric curve f(t)= [ 4 (sin(3t))^2, 1-(cos(3t))^2, 2-2 (cos(3t))^2]. Calculate its curvature. What conclusion can you make about the curve based on this curvature?
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  2. #2
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    Re: I calculated the curvature, but I want to make sure I did it correctly.

    Hey kandygirl16.

    What did you obtain for the result? Is it positive, negative or zero? What can you conclude given it's sign?
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  3. #3
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    Re: I calculated the curvature, but I want to make sure I did it correctly.

    Quote Originally Posted by kandygirl16 View Post
    1. Consider the parametric curve f(t)= [ 4 (sin(3t))^2, 1-(cos(3t))^2, 2-2 (cos(3t))^2]. Calculate its curvature. What conclusion can you make about the curve based on this curvature?
    Do you know that curvature is \kappa (t) = \frac{{\left\| {f'(t) \times f''(t)} \right\|}}{{\left\| {f'(t)} \right\|}}~?
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  4. #4
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    Re: I calculated the curvature, but I want to make sure I did it correctly.

    something like that, we use a different formula though
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