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Could someone please walk me through EVERY STEP of solving the following problem

ID: 3190757 • Letter: C

Question

Could someone please walk me through EVERY STEP of solving the following problem? Thank you

Explanation / Answer

Double Integrals In calculus of a single variable the definite integral displaymath137 for f(x)>=0 is the area under the curve f(x) from x=a to x=b. For general f(x) the definite integral is equal to the area above the x-axis minus the area below the x-axis. The definite integral can be extended to functions of more than one variable. Consider a function of 2 variables z=f(x,y). The definite integral is denoted by displaymath139 where R is the region of integration in the xy-plane. For positive f(x,y), the definite integral is equal to the volume under the surface z=f(x,y) and above xy-plane for x and y in the region R.

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