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Maths
A Level

The points A and B have position vectors 2i + 6j – k and 3i + 4j + k respectively. The line l passes through both A and B. Find a vector equation for the line l.

First you need to find the vector AB. This is equal to -OA+OB.

OA and OB are equal to the position vectors of A and B respectively so

 -OA+OB=  -2i - 6j + k + 3i + 4j + k = ...

AT
Answered by Alex T. Maths tutor
15660 Views

Solve the equation x=4-|2x+1|

This type of equation involves a modulus, this the component enclosed in the straight lines, |2x+1|.

A modulus takes the absolute value of its contents, this means that regardless of the input...

BC
Answered by Benjamin C. Maths tutor
16694 Views

Find the derivative of the following expression: y=x^3+2x^2+6x+5.

As the expression contains 4 separate terms that are added together, we can treat this as 4 separate differentiations. The general rule for differentiation for a general term bx^n is (bn)x(n-1...

MN
Answered by Matthew N. Maths tutor
4265 Views

y = 6x^2 + 8x + 2. Find dy/dx

y = 6x+ 8x + 2 

To find the first derivative of this equation, we must multiply the powers of x with the coefficient. Therefore, we do 2 times 6 (2 is the power and 6 is the ...

RD
Answered by Raj D. Maths tutor
8278 Views

Find the area encompassed by y=(3-x)x^2 and y=x(4-x) between x=0 and x=2.

This is an integration question.
The limits have been provided.

Firstly find the integral for the first curve
int{x(4-x)}dx
int{4x-x2}dx
2x2-x...

AD
Answered by Anthony D. Maths tutor
3161 Views

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