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How would you express (11+x-x^2)/[(x+1)(x-2)^2] in terms of partial fractions?

The first thing to consider when converting an expression to impartial fractions is how many fractions you will have in the end. With linear (no powers) brackets, found in the denominator of your initi...

MM
Answered by Matthew M. Maths tutor
7371 Views

Draw the graph of x^3 + x^2 - 6x

This is a cubic curve because the highest power to which x is being raised is 3. Cubic curves with addition x^2 and x terms often have a distinctive shape - sort of like a capital 'N' drawn using curve...

GH
Answered by George H. Maths tutor
3598 Views

Solve x^2 - 7x + 10 = 0

First factorise: (x - 2)(x - 5) = 0

Then either: x - 2 = 0   so x = 2

            or   x - 5 = 0   so x = 5

AD
Answered by Aran D. Maths tutor
16717 Views

Rearranging equations

Quesiton:

Solve 10x - 7 = 5x + 3, to find the value of x

Answer:

x = 0.5 

Solution:

HS
Answered by Hamid S. Maths tutor
4757 Views

f(x) = (4x + 1)/(x - 2). Find f'(x)

Quotient rule: (vu' - uv')/v^2

u = 4x + 1

u' = 4

v = x - 2

v' = 1

Input into formula:

[(x - 2)(4) - (4...

SS
Answered by Salah S. Maths tutor
13173 Views

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