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6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y = r(10 – x), bounded on the right by the straight line r = 5, and is bounded below by the horizontal straight line y = 9. (b) Write down an integral (or integrals) for the area of the region R. Answer: (c) Hence, or otherwise, determine the area of the region R.

6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y = r(10 – x), bounded on the right by the straight line r = 5, and is bounded below by the horizontal straight line y = 9. (b) Write down an integral (or integrals) for the area of the region R. Answer: (c) Hence, or otherwise, determine the area of the region R.

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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6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y = r(10 – x), bounded on the right by the straight line r = 5, and is bounded below by the horizontal straight line y = 9. (b) Write down an integral (or integrals) for the area of the region R. Answer: (c) Hence, or otherwise, determine the area of the region R.
Transcribed Image Text:6. (a) Carefully sketch (and shade) the (finite) region R in the first quadrant which is bounded above by the (inverted) parabola y = r(10 – x), bounded on the right by the straight line r = 5, and is bounded below by the horizontal straight line y = 9. (b) Write down an integral (or integrals) for the area of the region R. Answer: (c) Hence, or otherwise, determine the area of the region R.
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