An ellipse has equationx2+ 2xy+ 4y2= 16(a) Calculate a formula fordydx, the derivative ofywith respect tox.(b) Find an equation for the line which is tangent to ellipse at the point (4,−2).(c) Find the locations where the ellipse has horizontal tangent lines (dydx= 0 ) 1. An ellipse has equation x2 + 2xy + 4y2 = 16(a) Calculate a formula for d, the derivative of y with respect to x.(b) Find an equation for the line which is tangent to ellipse at the point (4,-2).(c) Find the locations where the ellipse has horizontal tangent lines ( = 0)dx

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Answered: 1. An ellipse has equation x?+ 2xy+ 4y2…

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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An ellipse has equationx2+ 2xy+ 4y2= 16(a) Calculate a formula fordydx, the derivative ofywith respect tox.(b) Find an equation for the line which is tangent to ellipse at the point (4,−2).(c) Find the locations where the ellipse has horizontal tangent lines (dydx= 0 )

1. An ellipse has equation x2 + 2xy + 4y2 = 16
(a) Calculate a formula for d, the derivative of y with respect to x.
(b) Find an equation for the line which is tangent to ellipse at the point (4,-2).
(c) Find the locations where the ellipse has horizontal tangent lines ( = 0)
dx

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