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Maths
A Level

differentiate y=(4x^3)-5/x^2

to differentiate this equation we have to do it in two parts because there is a minus sign seperating them in the middle

for the first part we first have to multiple the constant by what ...

GK
Answered by George K. Maths tutor
5465 Views

What is an easy way to remember how sin(x) and cos(x) are differentiated and integrated?

If you imagine that sin(x), cos(x), -sin(x) and -cos(x) are on a wheel as shown below:

      sin(x)

-cos(x)  cos(x)

     -sin(x)

then going clock...

HE
Answered by Hannah E. Maths tutor
14348 Views

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
5877 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
4524 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
18275 Views

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