Given a parametrized curve c(t) = (x(t), y(t)), show that d (dy) dt dx x (t)y (t)-

Question:

Given a parametrized curve c(t) = (x(t), y(t)), show that

d (dy) dt dx x' (t)y" (t)- y' (t)x"(t) z(1) xxX

Use this to prove the formula

dy x' (t)y" (t)- y' (t)x"(t) = dx x' (t)

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Step by Step Answer:

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 21, 2023 05:57 AM

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Given a parametrized curve c(t) = (x(t), y(t)), show that d (dy) dt dx x (t)y (t)-

Question:

d (dy) dt dx x (t)y" (t)- y' (t)x"(t) z(1) xx

Step by Step Answer:

By the formula for the slope of the tangent line we have dy y t x t dx ...View the full answer

Calculus

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