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The equation x²/3 + y?/3 = 4 describes an astroid: a. Find an expression for in terms of x and y. b. Find the equation of the tangent line to the astroid at the point (-3v3,1). c. There are 4 points on the astroid where the tangent line is not defined. What are these 4 points? What do you get if you evaluate at these points? dy dx

The equation x²/3 + y?/3 = 4 describes an astroid: a. Find an expression for in terms of x and y. b. Find the equation of the tangent line to the astroid at the point (-3v3,1). c. There are 4 points on the astroid where the tangent line is not defined. What are these 4 points? What do you get if you evaluate at these points? dy dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The equation x²/3 + y²/3 = 4 describes an astroid: a. Find an expression for in terms of x and y. b. Find the equation of the tangent line to the astroid at the point (-3v3,1). c. There are 4 points on the astroid where the tangent line is not defined. What are these 4 points? What do you get if you evaluate at these points? dx
Transcribed Image Text:The equation x²/3 + y²/3 = 4 describes an astroid: a. Find an expression for in terms of x and y. b. Find the equation of the tangent line to the astroid at the point (-3v3,1). c. There are 4 points on the astroid where the tangent line is not defined. What are these 4 points? What do you get if you evaluate at these points? dx
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