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Split x^4/[(x^2+4)*(x-2)^2] into partial fractions and hence differentiate it

The answer to this question will be explained during the interview session
AS
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Where does Euler's Formula come from?

Euler's Formula is: e ix = cos(x) + isin(x) This identity comes from the Maclaurin expansion of the exponential function. The resulting maclaurin series is a power series in x with odd terms having a factor ...
LK
6678 Views

Integrate x^2sin(x) between -pi and pi

It is possible to solve this question using integration by parts. However, we note that sin(x) is an odd function, meaning that sin(-x) = -sin(x). Thus x 2 sin(x) is also an odd function. This means that the...
HL
7868 Views

How far is the point (7,4,1) from the line that passes through the points (6,4,1) and (6,3,-1)?

To begin with, we should find the equation of the line. To do this we appoint a position vector and a direction vector. The position vector can simply be one of the two points we are give, i.e. (6,4,1). To f...
RH
3057 Views

Can you explain induction and go through an example?

Induction is a method that can be used to prove that a mathematical statement holds for possitive integers, n. It usually consists of four steps, as follows: 1) Basis: Show that the statement to be proved ho...
AS
3386 Views