6. Consider the two-dimensional plate in the shape of the region bounded by y = x² and y = 4 with density 8 = y + 1. (a) Sketch a graph of the plate. The graph need not be to scale, but number the axes so that important points can be read from the graph. Shade in the region. = (b) Assuming that the mass of the plane is M of mass of the plane, as a double integral. 544 15' express y, the y-coordinate of the center (c) Find the value of ū by evaluating the double integral found in part (b) above.
6. Consider the two-dimensional plate in the shape of the region bounded by y = x² and y = 4 with density 8 = y + 1. (a) Sketch a graph of the plate. The graph need not be to scale, but number the axes so that important points can be read from the graph. Shade in the region. = (b) Assuming that the mass of the plane is M of mass of the plane, as a double integral. 544 15' express y, the y-coordinate of the center (c) Find the value of ū by evaluating the double integral found in part (b) above.
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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please help with part 1, b, c!
Transcribed Image Text:6. Consider the two-dimensional plate in the shape of the region bounded by y = x² and y = 4 with
density 8 = y + 1.
(a) Sketch a graph of the plate. The graph need not be to scale, but number the axes so that
important points can be read from the graph. Shade in the region.
=
(b) Assuming that the mass of the plane is M
of mass of the plane, as a double integral.
544
15'
express y, the y-coordinate of the center
(c) Find the value of ū by evaluating the double integral found in part (b) above.
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