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Integral of a compound equation (or otherwise finding the area under a graph): f(x) = 10x*(x^(0.5) - 2)

This can be done 'by parts' or by expanding. In this case it would be easier to expand as it is possible to deal with terms individually here. This becomes: 10x x 1/2 - 10x 2 = 10x 3/2 - 20x We know this bec...
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Answered by Roden D. • Maths tutor
4220 Views

By forming and solving a quadratic equation, solve the equation 5*cosec(x) + cosec^2(x) = 2 - cot^2(x) in the interval 0<x<2*pi, giving the values of x in radians to three significant figures.

To solve the equation given in the question, we must first express the given equation in terms of only one trigonometric function, i.e. either all in cosec or all in cot. The easiest route would be cosec, si...
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Answered by Nadia M. • Maths tutor
9674 Views

Factorise x^2 - x - 6

You need 2 numbers that multiply together to make -6, and add together to make -1. The options to multiply to make -6 are: 6 and -1, -6 and 1, -3 and 2, 3 and -2. Looking at this list, the pair of numbers th...
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Answered by Charlotte G. • Maths tutor
8858 Views

Solve the equation 9x - 15 = 5 - x

This question is about rearranging the equation so that all the known variables are on one side and all the unknown variables are on the other side. To start with we can look at the x terms, remembering to r...
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Answered by Ella S. • Maths tutor
4386 Views

How does the equation of a circle work? What do the individual parts represent?

A student will often see the equation of a circle in the form (x-a) 2 +(y-b) 2 =r 2 . In this instance, a and b simply represent numbers. They are not variables. In fact, a represents the x co-ordinate of th...
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Answered by Milo L. • Maths tutor
4762 Views