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How do I do binomial expansions for positive integer n?

The general method for (a+b)^n is: 1)write out pascals triangle (see whiteboard) and stop at the nth row. Write this on a line. 2)write down the powers of a in ascending order (and simplify) 3)write down ...

Answered by Daniel R. • Maths tutor

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How do I work out what integration method I should use to solve an integral?

A-Level Mathematics is about a wide range of topics, among which Integrating is key!

While differentiation is a technique, whereby a set of rules can be used to approach problems, integration is an...

Answered by Luigi C. • Maths tutor

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Show that x^2 - x +2 is positive for all values of x

(x-1/2)²= (x-1/2)(x-1/2)=x²-x+1/4, add 7/4 to get x²-x+2 therefore x²-x+2 = (x-1/2)² + 7/4

squared numbers always positive so (x-1/2)²

Answered by Pearse M. • Maths tutor

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How to write an algebraic fraction in a given form e.g. (3+13x-6x^2)/(2x-3) as Ax + B + C/(2x-3) where A, B and C are natural numbers

I would break this down into simple steps:

Step 1 - Equate the 2 expressions: (3 + 13x - 6x²) / (2x - 3) = Ax + B + C / (2x - 3)

Step 2 - Multiply both sides by the demoninator: 3...

Answered by Alex T. • Maths tutor

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Find the derivative of the function f:(0,oo)->R, f(x)=x^x.

The domain of the function allows us to write f(x)=x^x as f(x)=e^ln(x^{^x)}=e^{x ln(}^x)(since ln(x) is defined on (0,oo) only). Using the standard derivati...

Answered by Andrei R. • Maths tutor

3064 Views