We're going to be using the formula for the area of a surface, A, to find the area of the part of the surface.
When we simplify, there are three conversion formulas we use.
With this problem, rdr is inside of the integral. We will take the integral and we will evaluate this on the interval 0 to 1.
We're trying to find the equation of the curve that goes through the points (1, 2) and (0, 0).We can start by writing the equation of the line that goes through those two points.
This is our final answer, which is the value of the area of the surface S when the surface S is the part of z equals xy that lies inside the cylinder with this equation.
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This video tutorial works through math problems/equations that address topics in Calculus 3, Vectors. This specific tutorial addresses Area of a surface.
Length: 11 minutes
Copyright date: ©2013
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