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Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for y in terms of x. (positive function) (negative function) (b) Sketch the graph of the equation and label the parts given by the corresponding explicit functions. y y 15t 15 10 10 we.. -10 -5 10 -10 -5 5 10 -SE -10 - 10 F -15 -15F 15 y 15 10 10 -10 -5 5 10 -10 -5 10 -5E -5 - 10 10 -15 -15t (c) Differentiate the explicit functions. dy/dx -: (d) Find dy/dx through implicit differentiation. dy/dx - Is the result equivalent to that of part (c)? O Yes O No

Consider the following: 36x + 49y- 1764 (a) Find two explicit functions by solving the equation for y in terms of x. (positive function) (negative function) (b) Sketch the graph of the equation and label the parts given by the corresponding explicit functions. y y 15t 15 10 10 we.. -10 -5 10 -10 -5 5 10 -SE -10 - 10 F -15 -15F 15 y 15 10 10 -10 -5 5 10 -10 -5 10 -5E -5 - 10 10 -15 -15t (c) Differentiate the explicit functions. dy/dx -: (d) Find dy/dx through implicit differentiation. dy/dx - Is the result equivalent to that of part (c)? O Yes O No

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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Consider the following: 36x2 + 49y2 = 1764 (a) Find two explicit functions by solving the equation for y in terms of x. y1 = (positive function) Y2 (negative function) (b) Sketch the graph of the equation and label the parts given by the corresponding explicit functions. y y 15 15 10 10 5 - 10 10 –10 -5 10 -5 - 10 - 10E -15 -15 y y 15 15E 10 10 5 5 - 10 -5 5 10 - 10 -5 5 10 -5 -5 -10 -10 -15 - 15F (c) Differentiate the explicit functions. dy/dx = (d) Find dy/dx through implicit differentiation. dy/dx = Is the result equivalent to that of part (c)? O Yes O No
Transcribed Image Text:Consider the following: 36x2 + 49y2 = 1764 (a) Find two explicit functions by solving the equation for y in terms of x. y1 = (positive function) Y2 (negative function) (b) Sketch the graph of the equation and label the parts given by the corresponding explicit functions. y y 15 15 10 10 5 - 10 10 –10 -5 10 -5 - 10 - 10E -15 -15 y y 15 15E 10 10 5 5 - 10 -5 5 10 - 10 -5 5 10 -5 -5 -10 -10 -15 - 15F (c) Differentiate the explicit functions. dy/dx = (d) Find dy/dx through implicit differentiation. dy/dx = Is the result equivalent to that of part (c)? O Yes O No
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