4. Find the expressions for the two vectors V₁, V2 that describe the bottom and left side of the parallelogram, respectively. 5. Verify that the area found in question 3 is v₁ X v₂|.
4. Find the expressions for the two vectors V₁, V2 that describe the bottom and left side of the parallelogram, respectively. 5. Verify that the area found in question 3 is v₁ X v₂|.
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
Part 4&Part 5 needed
Needed to be solved correctly in 1 hour and get the thumbs up please show me neat and clean work for it by hand solution needed
![Question 5 (Area Integrals)
Consider the parallelogram bounded from the bottom by
0 and from the top by y = H, from the left by the
=
-
line y = =
ax and from the right by the line
y = a (x − L), where a, L, H > 0.
-
1. Sketch this shape
y
2. Write the area of the parallelogram as a double
integral, where the integral in is evaluated first.
3. Evaluate this integral
4. Find the expressions for the two vectors V₁, V2 that
describe the bottom and left side of the parallelogram,
respectively.
5. Verify that the area found in question 3 is |v₁ × V₂|.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1066883f-1933-4230-9276-88f163579bfa%2Faa1af565-458c-4d4b-bb41-666b873cf451%2Fupjkgl2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 5 (Area Integrals)
Consider the parallelogram bounded from the bottom by
0 and from the top by y = H, from the left by the
=
-
line y = =
ax and from the right by the line
y = a (x − L), where a, L, H > 0.
-
1. Sketch this shape
y
2. Write the area of the parallelogram as a double
integral, where the integral in is evaluated first.
3. Evaluate this integral
4. Find the expressions for the two vectors V₁, V2 that
describe the bottom and left side of the parallelogram,
respectively.
5. Verify that the area found in question 3 is |v₁ × V₂|.
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