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

3x 2 + 6x + 2
JQ
Answered by Jiawang Q. • Maths tutor
3882 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
4578 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
9954 Views

The equation of a circle is x^2+y^2-6x-4y+4=0. i) Find the radius and centre of the circle. ii) Find the coordinates of the points of intersection with the line y=x+2

i) x 2 + y 2 - 6x - 4y + 4 = 0 x 2 - 6x + y 2 - 4y + 4 = 0 group the terms together x 2 - 6x = (x - 3) 2 - 9 factorise the x terms y 2 - 4y = (y - 2) 2 - 4 factorise the y terms x 2 - 6x + y 2 - 4y + 4 = (x ...
RL
Answered by Ralf L. • Maths tutor
8687 Views

How do you do algebraic long division?

To find the quotient and remainder of an algebraic division we use a technique similar to long division at GCSE. I think the best and easiest way to learn this method is to go through an example. See the whi...
NB
Answered by Niamh B. • Maths tutor
5118 Views