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Maths
A Level

Express 1/(x(1-3x)) in partial fractions.

1/(x(1-3x))= A/x+ B/(1-3x) 1= A(1-3x) + B(1-3x)

when x=0    1=A

when x= 1/3     1=B/3 so B=3

1/(x(1-3x))= 1/x + 3/(1-3x)

LB
Answered by Laura B. Maths tutor
9189 Views

Express 9^(3x+1) in the form 3^y, giving "y" in the form "ax+b" where "a" and "b" are constants.

9= 32 so 93x+1 = 32(3x+1) = 36x+2

y= 6x+2 where a=6 and b=2 

LB
Answered by Laura B. Maths tutor
19085 Views

Express (16x+78)/(2x^2+25x+63) as two fractions

Firstly factorise the denominator to get (2x+7)(x+9). Then make the fraction equal to the seperate fractions with constants.

E.g 16x+78/2x^2+25x+63=A/(2x+7)+B/(x+9). then multiply accross by the de...

GD
Answered by Georgia D. Maths tutor
3363 Views

What is the derivative?

The derivative is a measure of the rate of change of f(x) as x varies. Alternatively it is the gradient of the tangent at a specific point of the graph. There are different rules for finding the derivativ...

TX
Answered by Theano X. Maths tutor
3327 Views

How would you expand (x+5y)^5?

Firstly, explain briefly what you understand from the question.

=> (x+5y)5 = (x+5y)(x+5y)(x+5y)(x+5y)(x+5y)

What would be the binomial expansion of form (x+y), brief explanatio...

VS
Answered by Viren S. Maths tutor
7510 Views

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