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Increase £190 by 25%

There are two ways to work out the answer to this question. The first way involves first working out 25% of £190 and then adding this to your original £190. To calculate 25% of £190 we multiply 190 by 0.2...

Answered by Juliet F. • Maths tutor

5529 Views

Use Simpson's rule with 5 ordinates (4 strips) to find an approximation to "integral between 1 and 3 of" 1/sqrt(1+x^3) dx giving your answer to three significant figures.

Just as a note before I start, some of the symbols I use here will be horribly confused, this won't be an issue with a whiteboard but doing maths in a text editor is not great so I've had to make do.

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Answered by Dominic A. • Maths tutor

9064 Views

How do I solve these two equations simultaneously: 7x+y=1 and 2x^2 - y = 3

These types of questions can sometimes throw people off due to the quadratic nature of the second equation but don't fret; we'll use a method called substitution to find the answer!

Firstly, we

Answered by Zacchaeus S. • Maths tutor

2764 Views

The distance from the Earth to the Sun is 93 million miles. Assume it takes 365 days for the Earth to travel once around the Sun the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour

1^st calculate: 93 000 000 × 2π 2^nd calculate: 365×24 Then divide the two values: 186 000 000π÷8760 = 66705 (5 s.f.)

Answered by Simbarashe J. • Maths tutor

8694 Views

Find the turning points and their nature of the graph y = x^3/3 - 7x^2/2 + 12x + 4

Answer = (3,17.5) maximum (4,17.33) minimum

First differentiate y = x^3/3 - 7x^2/2 + 12x + 4 to find dy/dx. Now, at turning points dy/dx = 0 and factorise to find x when dy/dx = 0. Put x back into ...

Answered by John S. • Maths tutor

8326 Views