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Question 5 (Area Integrals) Consider the parallelogram bounded from the bottom by y = 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 2. Write the area of the parallelogram as a double integral, where the integral in is evaluated first. 3. Evaluate this integral

Question 5 (Area Integrals) Consider the parallelogram bounded from the bottom by y = 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 2. Write the area of the parallelogram as a double integral, where the integral in is evaluated first. 3. Evaluate this integral

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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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 ax and from the right by the line = y = a (x − L), where a, L, H > 0. - 1. Sketch this shape y line 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|.
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 ax and from the right by the line = y = a (x − L), where a, L, H > 0. - 1. Sketch this shape y line 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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