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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 equivalent...
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Answered by Sebastian P. Maths tutor
3241 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)=e 2 -> 2x = e 2 -1 -> x = (e 2 -1)/2 b) 7 x e 4x =e 5 -> 7 x =e 5 \ e 4x ​​​​​​​-> 7 x =e 5-4x ​​​​​​​-> ln(7 x )=5-4x...
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Answered by Elizabeth L. Maths tutor
5160 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
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Answered by Beenita S. Maths tutor
3571 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 is d...
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Answered by Sam H. Maths tutor
10104 Views

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

(2x + 3) / (x 2 + 3x + 5)
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Answered by Alec S. Maths tutor
5397 Views