Let D be a region bounded by a simple closed path C in the x-y plane. Use Green’s Theor
Question: Problem #22: Let D be a region bounded by a simple closed path C in the x-y plane. Use Green’s Theorem to prove that the coordinates of the centroid \(\left( \bar{x},\bar{y} \right)\) of D are:
\[\bar{x}=\frac{1}{2A}\oint\limits_{C}{{{x}^{2}}dy}\] \[\bar{y}=\frac{1}{2A}\oint\limits_{C}{{{y}^{2}}dx}\]
Price: $2.99
Solution: The solution consists of 2 pages
Deliverables: Word Document
Deliverables: Word Document
-
[Solved] Prove equation (3): ∫_{C}{Q}dy=∫_{D}{(partial Q)/(∂ x)dA} (3) #23944
-
(Solved) Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,y) #18874
-
(See Solution) Find the critical numbers and the open intervals where the function is increasing or decreasing. #21897
-
[Solved] Evaluate the integral ∫_{D}{(x^2-y^2)dA} with D={ (x,y)| 0≤ x^2+y^2≤ 2, 0≤ xy&l #10449
-
Free Math Help
-
Math and Statistics Answers
