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This is an extremely subjective question; it really depends on the question as to how you structure the answer. However, the general rule is to structure the argument into two halves, with a pro-argument ...

Because we have a product of two functions of x, our first instinct is to apply integration by parts. Let u = e^(2x) and v' = cos(x). We then integrate v' to find v = sin(x) and differentiate u to find u'...

As a variable resistor's resistance can be changed, we can therefore change the current in the circuit. This will be according to Ohms Law, as a simple resistor is a Ohmic Conductor.

So if we set u...

Ideal gas equation: pV=nRT Rearrange to get T: T=pV/nR Convert pressure to Pa: 50 x 1000 = 50,000 Convert volume to m^3: 1000 / (100)^3 = 0.001 Insert to find temperature: T = (50,000 x 0.001) / (0.05 x 8...

The first step in finding any turning point is to differentiate. To do this, we muiltiply x by its power and drop the power by 1. so in this senario we multiply the -2x by 2 giving us -4x and the power be...