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16 16 Implicit Curves Consider the 2 implicitly-defined curves 5x+2y + x³ + xy² = 0 and 2x - 5y + y - xy² = 0. Plot these 2 functions on the same graph. Notice that it appears as though they intersect at a right angle at the origin. For this discussion post, you will figure out (using Calculus) whether or not these 2 functions actually intersect at a right angle. You do not need to include a graph in your post, but you must explain your answer fully.

16 16 Implicit Curves Consider the 2 implicitly-defined curves 5x+2y + x³ + xy² = 0 and 2x - 5y + y - xy² = 0. Plot these 2 functions on the same graph. Notice that it appears as though they intersect at a right angle at the origin. For this discussion post, you will figure out (using Calculus) whether or not these 2 functions actually intersect at a right angle. You do not need to include a graph in your post, but you must explain your answer fully.

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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Implicit Curves Consider the two implicitly-defined curves \(5x + 2y + x^3 + xy^2 = 0\) and \(2x - 5y + y^4 - xy^2 = 0\). Plot these two functions on the same graph. Notice that it appears as though they intersect at a right angle at the origin. For this discussion post, you will figure out (using Calculus) whether or not these two functions actually intersect at a right angle. You do not need to include a graph in your post, but you must explain your answer fully.
Transcribed Image Text:Implicit Curves Consider the two implicitly-defined curves \(5x + 2y + x^3 + xy^2 = 0\) and \(2x - 5y + y^4 - xy^2 = 0\). Plot these two functions on the same graph. Notice that it appears as though they intersect at a right angle at the origin. For this discussion post, you will figure out (using Calculus) whether or not these two functions actually intersect at a right angle. You do not need to include a graph in your post, but you must explain your answer fully.
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