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Let z = f(x,y) with x= rcos() and y= rsin() . Show that: (z/x)^2 + (z/y)^2 = (z/r)^2 + (1/r^2)(z/)^2 [Hint: Find the partial of
Let z = f(x,y) with x= rcos() and y= rsin() . Show that:
(z/x)^2 + (z/y)^2 = (z/r)^2 + (1/r^2)(z/)^2 [Hint: Find the partial ofzw.r.trandpartial ofzw.r.ttheta. Then find the sum of theirsquares, and simplify.]
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Introduction to graph theory
Authors: Douglas B. West
2nd edition
131437372, 978-0131437371
