Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 2 - Differentiation - 2.6 Exercises: 4

Answer

a) dy/dt = -6 b) dx/dt = 1.5

Work Step by Step

$x^2 + y^2 = 25 $ $2x \frac{dx}{dt} + 2y\frac{dy}{dy} = 0 $ a) find dy/dt when x = 3, y=4 and dx/dt = 8 $2(3)(8) + 2(4)\frac{dy}{dt} = 0 $ $\frac{dy}{dt} = -6 $ b) find dx/dt when x = 4, y=3 and dy/dt = -2 $ 2(4)\frac{dx}{dt} + 2(3)(-2) = 0$ $\frac{dx}{dt} = 1.5 $
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