This is especially useful when the jacobian is a

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Unformatted text preview: s of the diamond to find a transformation to a square. This works since the vertices are connected linearly so I can use a linear transformation. Example: This example is motivated by simplifying the integrand instead of the region of integration. Example: This example you are given the substitution equations and need to find the Jacobian and the transformed area to evaluate the integral. Last Example: This is to show that the Jacobian also works for 101B: Evaluate the definite integral by a change of variables and the use of the Jacobian. Where Summary of Section 13.8 1 Find a transformation that will map a non-rectangular region represented by a double integral into a rectangular region 2 Use your transformation and the Jacobian to set up the double integral with your new variables and evaluate...
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This note was uploaded on 03/05/2014 for the course MATH 101c taught by Professor Loukianoff,v during the Spring '08 term at Ohlone.

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