For this system of two equations y = cos² (x), x² + y² = x² = 2₁ - a. Plot the two equations and observe two intersections that occur near x 2 and x = -1. =
For this system of two equations y = cos² (x), x² + y² = x² = 2₁ - a. Plot the two equations and observe two intersections that occur near x 2 and x = -1. =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![For this system of two equations
y = cos² (x),
x² + y² − x = 2,
a. Plot the two equations and observe two intersections
-1.
that occur near x = 2 and x =
b. Substitute y from the first equation into the second,
getting an equation in only x. Solve this equation for
the x-value (s) by any of the methods in this chapter
to find where the function is zero, then substitute
this x-value in either of the original equations to get
y-values.
c. Repeat part (b) but now solve for x from one equa-
tion and use it to eliminate x from the other. You
should get the same solutions, of course, but which
is easier to use?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f9ebee0-b0ef-4eca-be40-72685280a178%2F4bf5ebd3-e48e-4a7f-9a16-91f26232da3c%2Fhsn6rd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For this system of two equations
y = cos² (x),
x² + y² − x = 2,
a. Plot the two equations and observe two intersections
-1.
that occur near x = 2 and x =
b. Substitute y from the first equation into the second,
getting an equation in only x. Solve this equation for
the x-value (s) by any of the methods in this chapter
to find where the function is zero, then substitute
this x-value in either of the original equations to get
y-values.
c. Repeat part (b) but now solve for x from one equa-
tion and use it to eliminate x from the other. You
should get the same solutions, of course, but which
is easier to use?
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