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sider the 2 implicitly-defined curves 5x + 2y+³+ry² = 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.

sider the 2 implicitly-defined curves 5x + 2y+³+ry² = 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.

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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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.
Transcribed Image Text: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.
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