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July 4, 2015

Homework Help: Maths: Partial Differentiation

Posted by Claire on Saturday, January 9, 2010 at 8:05am.

1) If x = rcos theta and y = r sin theta, show that partial r / partial x = cos theta and find partial theta / partial x.

2) If z = sin theta.sin phi.sin gamma, and z is calculated for the values theta = 30degrees, phi = 45 degrees and gamma = 60degrees, find approximately the change in the value of z if each of the angles theta and gamma is increased by the same small angle alpha degrees, and phi is decreased by 1/2 alpha degrees.

Can someone please show me how to work these out?

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