Find a path of the form r(t) = (t, g(t)) passing through (1, 2) that follows the

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Find a path of the form r(t) = (t, g(t)) passing through (1, 2) that follows the gradient of ƒ(x, y) = 2x2 + 8y2 (Figure 16). Hint: Use Separation of Variables.

y 2 1+ K 1 X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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