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Let R be the region bounded by the line 3x +y = 0, the line x- 3y = 0 and the line y = 3. The region R is sketched below. (a) Set-up the integral(s) that would compute the area of R using integration with respect to x. O A. The area is computed by dx O B. The area is computed by dx + dx (b) Set-up the integral(s) that would compute the area of Rusing integration with respect to y. O A. The area is computed by Please maximize the graphic to be sure to see the entire region. dy. O B. The area is computed by dy + dy. (c) Evaluate one of your integrals to find the area of R. The area of R is square units.

Let R be the region bounded by the line 3x +y = 0, the line x- 3y = 0 and the line y = 3. The region R is sketched below. (a) Set-up the integral(s) that would compute the area of R using integration with respect to x. O A. The area is computed by dx O B. The area is computed by dx + dx (b) Set-up the integral(s) that would compute the area of Rusing integration with respect to y. O A. The area is computed by Please maximize the graphic to be sure to see the entire region. dy. O B. The area is computed by dy + dy. (c) Evaluate one of your integrals to find the area of R. The area of R is square units.

Advanced Engineering Mathematics
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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Let R be the region bounded by the line 3x + y = 0, the line x- 3y = 0 and the line y = 3. The region R is sketched below. (a) Set-up the integral(s) that would compute the area of R using integration with respect to x. O A. The area is computed by dx O B. The area is computed by 12 dx dx. (b) Set-up the integral(s) that would compute the area of Rusing integration with respect to y. Please maximize the graphic to be sure to see the entire region. O A. The area is computed by dy. O B. The area is computed by dy dy. (c) Evaluate one of your integrals to find the area of R. The area of R is square units.
Transcribed Image Text:Let R be the region bounded by the line 3x + y = 0, the line x- 3y = 0 and the line y = 3. The region R is sketched below. (a) Set-up the integral(s) that would compute the area of R using integration with respect to x. O A. The area is computed by dx O B. The area is computed by 12 dx dx. (b) Set-up the integral(s) that would compute the area of Rusing integration with respect to y. Please maximize the graphic to be sure to see the entire region. O A. The area is computed by dy. O B. The area is computed by dy dy. (c) Evaluate one of your integrals to find the area of R. The area of R is square units.
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we need to set up the integral with respect to x and also respect to y to calculate the area of region R shown in the sketch.

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