Both x and y denote functions of t that are related by the equation x2 + y? 2x + 6y. Use this equation and the given derivative to find the specified derivative. NOTE: Enter the exact answers. d.x dy (a) Given that -6, find dt when (x, y) = (4, 2). dt dy dt dy = 6, find dt d.x when (x, y) = (1+ v3,3 + v2). (b) Given that dt dx dt

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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Both x and y denote functions of t that are related by the equation
x2 + y?
= 2x + 6y. Use this equation and the given derivative to find
the specified derivative.
NOTE: Enter the exact answers.
dy
when (x, y) = (4, 2).
dt
dx
(a) Given that
= -6, find
dt
dy
dt
dy
6, find
dt
d.x
when (x, y) = (1+ v3,3 + v2).
(b) Given that
%3|
dt
dx
dt
Transcribed Image Text:Both x and y denote functions of t that are related by the equation x2 + y? = 2x + 6y. Use this equation and the given derivative to find the specified derivative. NOTE: Enter the exact answers. dy when (x, y) = (4, 2). dt dx (a) Given that = -6, find dt dy dt dy 6, find dt d.x when (x, y) = (1+ v3,3 + v2). (b) Given that %3| dt dx dt
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