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mth301 gdb solution fall 2017
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#2
Double integrals are a way to integrate over a two-dimensional area. Among other things, they lets us compute the volume under a surface.
Given a two-variable function f(x, y)f(x,y)f, left parenthesis, x, comma, y, right parenthesis, you can find the volume between this graph and a rectangular region of the xyxyx, y-plane by taking an integral of an integral, This is called a double integral. You can compute this same volume by changing the order of integration.
The computation will look and feel very different, but it still gives the same result. the Applications of Double Integrals to find the Mass, Center of Mass, Moments of Inertia and Probability Density of a lamina with variable density. Double Integrals to find the Mass and Total Charge Density of a planar lamina of variable density. the Center of Mass (balance point), by using the first moments about the x- and y- axes.
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