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Maths
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Share £650 in the ratio 8:5

Begin by adding the 2 ratio parts (i.e. the numbers which make up the ratio) so 8+5 = 13.

Then divide the total sum by the sum of the ratio parts. Thus £650/13 = £50.

Multip...

HV
Answered by Harry V. Maths tutor
7269 Views

Integrate 1/(5-2x) for 3≤x≤4

You must be careful with these sorts of questions as although 1/(5-2x) is equivalent to (5-2x)^-1, when you integrate you would add one to the power and divide by the new power. But if you were to add one...

ES
6909 Views

Using the addition formula for sin(x+y), find sin(3x) in terms of sin(x) and hence show that sin(10) is a root of the equation 8x^3 - 6x + 1

First we state the formula for sin(x+y)

sin(x+y) = sin(x)cos(y) + cos(x)sin(y)

Letting y = 2x

sin(x+2x) = sin(x)cos(2x) + cos(x)sin(2x)

Now sin(2...

KR
Answered by Kyle R. Maths tutor
21923 Views

Using Integration by Parts, find the indefinite integral of ln(x), and hence show that the integral of ln(x) between 2 and 4 is ln(a) - b where a and b are to be found

Using integration by parts, we can re-write the integral of ln(x) as (xln(x) - int(x(1/x))) = x*ln(x) - x

Therefore, evaluating between 2 and 4 gives us (4ln(4) - 4) - (2

KR
Answered by Kyle R. Maths tutor
3869 Views

if x^2 + 9x + 20 = 0, what are the possible values of x?

So x2 + 9x + 20 = 0 My preffered way of solving this equation is to factorise the equation. (Though I understand that different students may find other ways easier) Factorisation is where the a...

TP
Answered by Tilly P. Maths tutor
9829 Views

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