Assume that $ x = x(t) $ and $ y = y(t) $. Let $ y = x^2 + 3 $ and $\frac{dx}{dt} = 2$ when $ x = 3 $.Find $\frac{dy}{dt}$ when $ x = 3 $.---$\frac{dy}{dt} = \, \_\_ $ (Simplify your answer.)

Answered: dx Assume that x= x(t) and y = y(t).…

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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Question

Assume that $ x = x(t) $ and $ y = y(t) $. Let $ y = x^2 + 3 $ and $\frac{dx}{dt} = 2$ when $ x = 3 $.

Find $\frac{dy}{dt}$ when $ x = 3 $.

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$\frac{dy}{dt} = \, \_\_ $ (Simplify your answer.)

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Given.

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