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А. (*) Are SfrdA SfodA R R :- SSdA R R (always) the polar coordinates of the planar region R? Explain. Hint: Pick a simple example and try to decide whether the above formula for ī, 0 should give the polar coordinates of the centroid.

А. (*) Are SfrdA SfodA R R :- SSdA R R (always) the polar coordinates of the planar region R? Explain. Hint: Pick a simple example and try to decide whether the above formula for ī, 0 should give the polar coordinates of the centroid.

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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А. (*) Are SfrdA SSodA R T = R SSdA R R (always) the polar coordinates of the planar region R? Explain. Hint: Pick a simple example and try to decide whether the above formula for r, 0 should give the polar coordinates of the centroid. B. . (*) Show that if a planar region R lies in a rectangle a < x < b; c < y < d, then so does its centroid. We don't know anything about the shape of the region R except that it lies inside the rectangle. 1
Transcribed Image Text:А. (*) Are SfrdA SSodA R T = R SSdA R R (always) the polar coordinates of the planar region R? Explain. Hint: Pick a simple example and try to decide whether the above formula for r, 0 should give the polar coordinates of the centroid. B. . (*) Show that if a planar region R lies in a rectangle a < x < b; c < y < d, then so does its centroid. We don't know anything about the shape of the region R except that it lies inside the rectangle. 1
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