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Find dy/dx where y=e^(4xtanx)

Here, we must apply both chain and product rules. The chain rule can be used to find the derivative of a function in the form e^f(x), like this one. However it is useful to know that this will r...

Answered by Monique K. • Maths tutor

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Atmospheric Pressure is about 1.0x10^5 Pa. What is the downward force of the air on a desktop of surface area 1m^2?

Here we are dealing with force, pressure and area so we use the formula F=PA. We simply slot in the given numbers where P=1x10⁵, and A=1. The resulting force is 1x10⁵

Answered by Monique K. • Physics tutor

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A 1.6m long string fixed at both ends vibrates at its fundamental frequency... (i)what is this frequency?

For the first part, we consult the formula c=fλ. This tells us that wavelength is inversely proportional to frequency.. ie as one increases the other decreases. This means the lowest(fund...

Answered by Monique K. • Physics tutor

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How do you integrate by parts?

This is one of the trickier methods of integration, and it requires some practise. The basic idea is to split a function which would be difficult to integrate into two parts. Differentiating one part a...

Answered by Harry M. • Maths tutor

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Explain Rutherford's atomic model experiment

Rutherford had a sheet of gold foil just a few atoms thick, and surrounded it with detectors. He then fired alpha particles at the gold sheet, knowing that these were positively charged. Some of these ...

Answered by Harry M. • Physics tutor

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