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Maths
A Level

Solve x^2 + 8x +3 = 0 by completing the square.

Using the completing the square method:

1. Notice (x+4)2 = x2 + 8x +16 which differs from the question by a constant

Answered by Tutor21349 D. Maths tutor
19804 Views

Integrate 4x^3 + 6x^2 +4x + 3

Each term is integrated according to the formula:

axb --> (a/(b+1))x(b+1)

A constant k integrates to kx 

Since this is indefinite inte...

Answered by Emma H. Maths tutor
4836 Views

Differentiate y = 2x^3 + 6x^2 + 4x + 3 with respect to x.

Each term is differentiated according to the formula:

y = axb --> dy/dx = b*ax(b-1)

Constants differentiate to zero.

Therefore in this...

Answered by Emma H. Maths tutor
6467 Views

Find the gradient of a curve whose parametric equations are x=t^2/2+1 and y=t/4-1 when t=2

Remember that the gradient of a curve is expressed as dy/dx. This can be solved by using the chain rule:

dy/dx = dy/dt*dt/dx. The dt in the denominator of the first term, and the numerato...

Answered by Abigail S. Maths tutor
8246 Views

Where does the geometric series formula come from?

Rearranging the terms of the series into the usual "descending order" for polynomials, we get a series expansion of:  

axn-1 +........ax + a

A basic pro...

Answered by Naheem A. Maths tutor
4032 Views

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