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Find x and y using the equations 3x + y= 10, x + y = 4

First of all there are 3 different methods of working out simultaneous equations: Elimination, Substitution and Graphical. Today I will show the substitution method. If x + y = 4 then rearranging the equatio...
TO
Answered by Tobi O. • Maths tutor
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x^3 + 3x^2 + 2x + 12

3x 2 + 6x + 2
JQ
Answered by Jiawang Q. • Maths tutor
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How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)

We begin by looking at the integral by itself. The first thing we must do is evaluate what type of integration we should perform. It's always important to make sure that it's not a standard integral such as ...
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Answered by Kenneth B. • Maths tutor
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A function is defined as f(x) = x / sqrt(2x-2). Use the quotient rule to show that f'(x) = (x-2)/(2x-2)^(3/2)

u = x v = (2x-2)^(0.5)u' = 1 v' = (2x-2)^(-0.5)f'(x) = (vu' - uv') / v^2Therefore, f'(x) = (((2x-2)^(0.5) * 1) - (x * (2x-2)^(-0.5))) / ((2x-2)^(0.5))^2f'(x) = (2x - 2 - x) / (2x-2)^(3/2) = (x-2) / (2x-2)^(3...
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Answered by Isaac F. • Maths tutor
9891 Views

Jay, Shelia & Harry share £7200 in the ratio 1:2:5. How much does Harry receive?

Explain how the ratio shows everyone's share of the £7200: 1:2:5 (Jay's share:Sheila's Share:Harry's Share)Add up the terms of the ratio to find out many equal parts the £7200 is split into: 1+2+5=8 (parts)W...
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Answered by Philip B. • Maths tutor
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