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12 Nov 2019
Let f(x,y)=x/y and the region R be the pentagon defined by the vertices (-1,3), (0,-1), (2,4), (5,3), and (4, -1).
a) Write the double integral of f(x,y)dA for both dxdy and dydx. (Note that I have expressed this in words as I couldn't enter the double integral sign symbol. Under the double integral sign is R).
b) For one of the two integrals derived above, evaluate by hand showing steps.
c) Find the average value of f(with a hyphen on top of f) of f(x,y) over R.
Let f(x,y)=x/y and the region R be the pentagon defined by the vertices (-1,3), (0,-1), (2,4), (5,3), and (4, -1).
a) Write the double integral of f(x,y)dA for both dxdy and dydx. (Note that I have expressed this in words as I couldn't enter the double integral sign symbol. Under the double integral sign is R).
b) For one of the two integrals derived above, evaluate by hand showing steps.
c) Find the average value of f(with a hyphen on top of f) of f(x,y) over R.
Beverley SmithLv2
27 Jul 2019