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x^3 + 3x^2 + 2x + 12

3x 2 + 6x + 2
JQ
Answered by Jiawang Q. • Maths tutor
3880 Views

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 ...
KB
Answered by Kenneth B. • Maths tutor
4577 Views

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...
IF
Answered by Isaac F. • Maths tutor
9953 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...
PB
Answered by Philip B. • Maths tutor
4548 Views

A ladder of length 6.5m is leaning against a vertical wall. The foot of the ladder is 1.5m from the wall. Calculate the distance the ladder reaches up the wall to 3 significant figures.

(using Pythagoras' theorem) 6.5 2 = x 2 + 1.5 2 x 2 = 6.5 2 - 1.5 2 x 2 = 42.25 - 2.25 x 2 = 40 x = sqrt(40) x = 6.32 (to 3sf) = 6.32m
PB
Answered by Pollyanna B. • Maths tutor
6404 Views