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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