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Maths
A Level

Factorise completely x − 4 x^3

= x(1-4x^2)From difference of two squares method,= x(1-2x)(1+2x)

Answered by Christopher T. Maths tutor
5451 Views

Relative to a fixed origin O, the point A has position vector (8i+13j-2k), the point B has position vector (10i+14j-4k). A line l passes through points A and B. Find the vector equation of this line.

The vector equation of any line is composed of the addition of a point on the line and some distance in the direction of the line, in the form y=(x,y,z) +d(x_1, y_1, z_1), where (x,y,z) is any point on th...

Answered by Carlota S. Maths tutor
6266 Views

Find the gradient of the curve y = 5(x^2} - 2x + 3 when x = 4

First, you would need to differentiate the equation. To find the differential, multiply the power of x by the coefficient, then reduce the power by 1. You should see that any constants will not be seen in...

Answered by Sabah M. Maths tutor
2534 Views

What is the indefinite integral of xlog(x)?

The integral can be split into two different functions of x which is a hint that we must use the integration by parts method. The method is defined as

Answered by William H. Maths tutor
3654 Views

Using the binomial theorem, find the coefficient of x^4*y^5 in (x-2y)^9.

The term containing x4y5 will be C(9, 5)x4(-2y)5 = (9!/(5!4!))x4(-2)5y5The coefficient of which will be 1...

Answered by George H. Maths tutor
3010 Views

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