2. Let R be the small region in the first quadrant bounded by y = 8x, y = x² and y = %3D (a) Provide a sketch of R. (It is ok to use a plotting tool such as Desmos). Label the axes and any points of intersection between the curves. (b) Find the area of R by integrating with respect to the x variable (exact answer or answer rounded to two decimal places are both ok). (c) Find the area of R by integrating with respect to the y variable, showing that you get the same result as in part (b).
2. Let R be the small region in the first quadrant bounded by y = 8x, y = x² and y = %3D (a) Provide a sketch of R. (It is ok to use a plotting tool such as Desmos). Label the axes and any points of intersection between the curves. (b) Find the area of R by integrating with respect to the x variable (exact answer or answer rounded to two decimal places are both ok). (c) Find the area of R by integrating with respect to the y variable, showing that you get the same result as in part (b).
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:2.
Let R be the small region in the first quadrant bounded by y = 8x, y = x² and y = .
(a) Provide a sketch of R. (It is ok to use a plotting tool such as Desmos). Label the axes and any
points of intersection between the curves.
(b) Find the area of R by integrating with respect to the x variable (exact answer or answer rounded
to two decimal places are both ok).
(c) Find the area of R by integrating with respect to the y variable, showing that you get the same
result as in part (b).
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