1. The graph of the tilted ellipse x2 - xy + y? = 3 is shown below. Note: The sides of the box are vertical and horizontal and also are tangent to the ellipse. dy for the tilted ellipse. dx (a) Find (b) Find the points on the ellipse where the tangent line is horizontal. (c).Find the points on the ellipse where the tangent line is vertical. (d) What are the dimensions of the box containing the ellipse? (e) What are the coordinates of the four corners of the box containing the ellipse?

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...
Question
dy/dx = (2x-y)/x-2y. Find parts b through e
1. The graph of the tilted ellipse x2 – xy + y² = 3 is shown below.
Note: The sides of the box are vertical and horizontal and also are tangent to the ellipse.
dy
for the tilted ellipse.
dx
(a) Find
(b) Find the points on the ellipse where the tangent line is horizontal.
(c).Find the points on the ellipse where the tangent line is vertical.
(d) What are the dimensions of the box containing the ellipse?
(e) What are the coordinates of the four corners of the box containing the ellipse?
Transcribed Image Text:1. The graph of the tilted ellipse x2 – xy + y² = 3 is shown below. Note: The sides of the box are vertical and horizontal and also are tangent to the ellipse. dy for the tilted ellipse. dx (a) Find (b) Find the points on the ellipse where the tangent line is horizontal. (c).Find the points on the ellipse where the tangent line is vertical. (d) What are the dimensions of the box containing the ellipse? (e) What are the coordinates of the four corners of the box containing the ellipse?
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