Consider the 2 implicitly-defined curves 5x + 2y + x³ + xy² = 0 and 2x − 5y + y² – 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.
Consider the 2 implicitly-defined curves 5x + 2y + x³ + xy² = 0 and 2x − 5y + y² – 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.
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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Question
Transcribed Image Text:Consider the 2 implicitly-defined curves
5x + 2y + x³ + xy²
3
0 and
4
2x
5y + y² – 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.
—
-
=
Expert Solution
Step 1
Given :
Let the functions are
To Find :
Plot the graph of the function and check whether these functions intersect at the right angle or not using calculus.
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