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Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x = 4, y = 9, and dy/dt = x² + y² = 97 dx -

Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x = 4, y = 9, and dy/dt = x² + y² = 97 dx -

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Assume that \( x \) and \( y \) are differentiable functions of \( t \). For the following, find \( \frac{dx}{dt} \) given that \( x = 4 \), \( y = 9 \), and \( \frac{dy}{dt} = 1 \). \[ x^2 + y^2 = 97 \] \[ \frac{dx}{dt} = \underline{\hspace{1cm}} \]
Transcribed Image Text:Assume that \( x \) and \( y \) are differentiable functions of \( t \). For the following, find \( \frac{dx}{dt} \) given that \( x = 4 \), \( y = 9 \), and \( \frac{dy}{dt} = 1 \). \[ x^2 + y^2 = 97 \] \[ \frac{dx}{dt} = \underline{\hspace{1cm}} \]
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