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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
RM
Answered by Rana M. • Maths tutor
4363 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 gives y = -49/12
MW
Answered by Mike W. • Maths tutor
4059 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 x = 0 or 4x^2 + 1 = 0 However, 4x^2 + 1 = 0 leads to 4x^2 ...
OW
Answered by Olivia W. • Maths tutor
3854 Views

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

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 5 0.5 (1+0.4x) 0.5 . 2. Identify the formula we are going to use and put in the numbers from this equa...
AA
Answered by Akinmi A. • Maths tutor
4330 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 the term. T...
ZT
Answered by Zarin T. • Maths tutor
4197 Views