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Describe the formation of a waterfall

Waterfalls form where the river bed has a layer of harder rock overlying the softer rocks. As water falls the softer rock is eroded more quickly than the harder rock leading to undercutting of the harder roc...
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Answered by Emma R. • Geography tutor
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2x + 7y = 14 and x + y = 2. Find the value of x and y which satisfy both equations.

There are 2 ways to solve simultaneous equations which are by substitution or elimination. In this example you can use both but elimination is simpler. So we have 2x + 7y = 14 and x + y = 2. To use eliminati...
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Answered by Amir S. • Maths tutor
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Differentiate x^x

With the methods we know at A Level we cannot current differentiate x x in its current form. Therefore let y = x x To turn it into a form we can differentiate we take the natural log of both sides. This give...
Answered by • Maths tutor
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I have invested £10000 for 5 years and I how have £12763 in my account. What is my banks interest rate?

This question is an example of compound interest rates. The question asks to find the interest rate of the bank. So first of all we should form an equation relating our initial amount, interest rate, time an...
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Answered by Amir S. • Maths tutor
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A ball is thrown at a speed of 15m/s at a 30 degree angle from the floor, how far does this ball travel before hitting the ground? (Air resistance can be ignored)

The key to answering this question is to separate the velocity of the ball into two components - horizontal and vertical components. The vertical component will be affected by the gravitational acceleration ...
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Answered by Leonardo B. • Physics tutor
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