Top answers

Further Mathematics
A Level

Why is the integral of 1/sqrt(1-x^2)dx = sin^{-1}(x)?

This is an example of an integral that uses trigonometric substitutions, which is quite a common theme for A-level further maths questions. Firstly, notice the denominator is quite unpleasant, so to make ...

CB
33955 Views

Take quadratic equation x^2-6x+14=0 and its solutions a and b. What is a/b+b/a?

In this kind of exersise it is easy to use Viète's formula for quadratic equations: Let: a+b = S ab=P then x-Sx + P=0 In our case, S=6 and P=14 by multiplying the fractions we get: (a

AM
2694 Views

In statistics, what is the benefit of taking a sample survey rather than a census?

Taking a sample survey is quicker, cheaper and easier to carry out than a census. 

EG
3911 Views

How do you prove the formula for the sum of n terms of an arithmetic progression?

An arithematic progression has terms in a sequence such that the difference between any two consecutive terms is a constant and is given by a common difference, say, d. If first term in the progression is...

NB
9241 Views

What is the meaning of having a 3 by 3 matrix with determinent 0. Both geometrically and algebriaclly.

The matrix is singular.

No inverse matrix.

Geometrically: No unique point of intersection of planes, Either no common point, a line of intersection or the three planes coincide.

Alege...

RM
2631 Views

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