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Maths
A Level

It is given f(x)=(19x-2)/((5-x)(1+6x)) can be expressed A/(5-x)+B/(1+6x) where A and B are integers. i) Find A and B ii) Show the integral of this from 0 to 4 = Kln5

Firstly, we are given that f(x) can be expressed in the above form, so we write this out:

(19x-2)/((5-x)(1+6x)=A/(5-x)+B/(1+6x)

We then multiply by the denominator of f(x):<...

MW
Answered by Mike W. • Maths tutor
6109 Views

Solve simultaneously: x + y + 3 = 0 and y = 2x^2 +3x - 1

First Step:

I believe here it is important to firstly look at each equation on its own and just try to think how the examiner would want you to answer this type of question.

JS
Answered by Jamie S. • Maths tutor
4795 Views

Solve the equation; 4 cos^2 (x) + 7 sin (x) – 7 = 0, giving all answers between 0° and 360°.

4 cos2 (x) + 7sin (x) – 7 = 0      (1)

Using the identity sin2 (x) + cos2 (x) = 1,

rearrange to give; cos2 (x) =...

CS
Answered by Connor S. • Maths tutor
18819 Views

Find the factors of x^3−7x−6

To find the factors of x3-7x-6, a method called equating coefficients can be used.

Firstly, set the equation to zero and find a suitable number which satisfies the equation, in...

MW
Answered by Michael W. • Maths tutor
12104 Views

Differentiate a^x with respect to x

y=a^x

take natural logs (also written as ln or log base e) of both sides

lny=lna^x

by logarithms rules lna^x=xlna

lny=xlna

Now diff...

JM
Answered by James M. • Maths tutor
42352 Views

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