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Maths
A Level

How do you express partial fractions of a proper fraction that has a denominator of (x-2)(x+1)^2

A/(x-2) + B/(x+1) + C/(x+1)^2

Answered by Rana M. Maths tutor
3424 Views

What is the y-coordinate minimum point of y = 3x^2 + x - 4

if y=3x^2 + x -4 

then 

dy/dx = 6x + 1

setting this equal to zero gives

6x + 1 = 0

so then

x = -1/6

putting this x value back into the original equation gi...

Answered by Mike W. Maths tutor
3233 Views

A curve is defined for x>0 as y = 9 - 6x^2 - 12x^4 . a) Find dy/dx. b) Hence find the coordinates of any stationary points on the curve and classify them.

a) y = 9 -6x^2 - 12x^4 

dy/dx = -12x - 48x^3 

b) At stationary points dy/dx = 0. 

-12x - 48x^3 = 0 

48x^3 + 12x = 0 

4x^3 + x = 0

x (4x^2 + 1) = 0 

Either ...

Answered by Olivia W. Maths tutor
2998 Views

What is the coefficient of x^2 in the expansion of (5+2x)^0.5?

  1. We the answer in question in the form A(1+B)0.5 and we can do that by factorising out the 5. This gives 50.5(1+0.4x)0.5. 2. Identify the formula we are going to use ...
Answered by Akinmi A. Maths tutor
3450 Views

Differentiate y=x^(-1/2)-x

The formula you are given is an equation which is written in terms of x. So we will be differentiating with respect to x. 

When differentiating we take the current power and place that in front of ...

Answered by Zarin T. Maths tutor
3204 Views

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