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What is the Pythagoras Equation?

a^2 + b^2 = c^2

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Answered by Nancy N. Maths tutor
4250 Views

Differentiate y = e^(x^2 - 3x).

This question is an example of the chain rule for differentiating. 

Firstly, identify the inner function. In this case, it is x- 3x. This function must be differentiated firs...

ES
Answered by Ellie S. Maths tutor
12098 Views

Find cos4x in terms of cosx.

As with any question involving sines and cosines, consider complex numbers as a likely way to find the answer. For this particular kind of question, where sin/cos of a multiple of x is needed in terms ...

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Answered by Ellie S. Maths tutor
19154 Views

How does antibiotic resistance develop in bacterial populations?

When a course of antibiotics is taken, non-resistant bacteria should be killed. However, genetic mutations can lead to certain individuals becoming resistant to a particular antibiotic. The mutated gen...

CD
Answered by Callum D. Biology tutor
6332 Views

A cricketer throws a ball vertically upwards so that the ball leaves his hands at a speed of 25 m/s. Calculate the maximum height reached by the ball, the time taken to reach max. height, and the speed of the ball when it is at 50% max. height.

We can see that this is a suvat question, since it involves a projectile. The first step for any suvat question is to list the known suvat variables for the point we're looking at (in this case, the po...

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Answered by Ellie S. Physics tutor
20493 Views

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