Two homework problems I can't get.(adsbygoogle = window.adsbygoogle || []).push({});

(1) The question is find the first partial derivatives of the function. The problem is that the function in this problem is

[tex] f(x, y) = \int_{y}^{x} \cos{t^2} dt [/tex]

The main obstacle is getting past this function. I can't integrate it and neither can my calculator. Is there a way to do this problem without integrating, or how do you integrate this function?

(2) The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The resistance R is slowly increasing as the resistor heats up. Use Ohm's Law, V = IR, to find how the current I is changing at the moment when R = 400[itex]\Omega[/itex], I = 0.08 A, [itex]\frac{dV}{dt}[/itex] = -0.01 V/s, and [itex]\frac{dR}{dt}[/itex] = 0.03 [itex]\Omega[/itex]/s.

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# Homework Help: Partial derivative problems

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