a. Graph the equations x- y + 6 = 0, 2x + y = 0,3x – y = 0. Shade in the region bounded by the three graphs. Label all important points on the graph (i.e. find the points of intersection). b. Set up the integral(s) that represent the area shaded in part a, with respect to x. c. Set up the integral(s) that represent the area shaded in part a, with respect to y.
a. Graph the equations x- y + 6 = 0, 2x + y = 0,3x – y = 0. Shade in the region bounded by the three graphs. Label all important points on the graph (i.e. find the points of intersection). b. Set up the integral(s) that represent the area shaded in part a, with respect to x. c. Set up the integral(s) that represent the area shaded in part a, with respect to y.
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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Transcribed Image Text:a. Graph the equations x – y + 6 = 0, 2x + y = 0,3x – y = 0. Shade in the region bounded by
the three graphs. Label all important points on the graph (i.e. find the points of intersection).
b.
Set up the integral(s) that represent the area shaded in part a, with respect to x.
C.
Set up the integral(s) that represent the area shaded in part a, with respect to y.
Expert Solution

Step 1
Solution for a:
Given lines are
Solving (1) and (2) we get the point (-2, 4)
Solving (2) and (3) we get the point (0, 0)
Solving (1) and (3) we get the point(3, 9)
Hence the graph is
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