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Maths
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How to express one quantity as a percentage of another?

There are several ways to do this which make it particularly interesting. I would advise trying to avoid doing it by eye, this leaves you open to many clumsy mistakes. My preferred method is using equival...

SP
Answered by Sebastian P. • Maths tutor
2966 Views

Find the exact solutions, in their simplest form, to the equations : a) 2ln(2x + 1)-4=0 b)7^(x)e^(4x)=e^5

a) 2ln(2x + 1)-4=0

-> ln(2x + 1)-2=0

-> ln(2x + 1)=2

-> (2x + 1)=e2

-> 2x = e2 -1

-> x = (e2 -1)/2

b) 7x

EL
Answered by Elizabeth L. • Maths tutor
4960 Views

3(x-2) - 2(x-2)

First expand each set of brackets:

(3x - 6) - (2x - 4)

Then simplify:

3x - 6 - 2x - (-4) = x - 2

BS
Answered by Beenita S. • Maths tutor
3372 Views

How do I find the equation of the tangent to y = e^(x^2) at the point x = 4?

This question can be broken up into two main parts, one you're probably familiar with from C1 + C2 and one which is newer. The first part relates to differentiating a compound function (where a function i...

SH
Answered by Sam H. • Maths tutor
9625 Views

differentiate with respect to 'x' : ln(x^2 + 3x + 5)

(2x + 3) / (x2 + 3x + 5)

AS
Answered by Alec S. • Maths tutor
5210 Views

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