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Maths
A Level

How do you find the roots of a cubic equation?

Solving cubics is an interesting problem: while there is a formula which can find the roots of every cubic equation, it isn't taught and is not generally worth learning. Instead, exam questions will of...

SM
Answered by Sam M. Maths tutor
16046 Views

Let f(x) and g(x) be two odd functions defined for all real values of x. Given that s(x)=f(x)+g(x), prove that s(x) is also an odd function.

We recall that a function f(x) is said to be an odd function when f(-x)=-f(x).

We are told that f(x) and g(x) are odd functions, so we know from the abov...

KH
Answered by Keir H. Maths tutor
13354 Views

differentiate 2^x

y=2^x
lny=xln2
y=e^(xln2)

MP
Answered by Mit P. Maths tutor
5929 Views

A pot of water is heated to 100C and then placed in a room at a temperature of 18C. After 5 minutes, the pan temperature falls by 20C. Find the temperature after 10minutes.

(The rate at which the temperature of a body falls is proportional to the difference between the body temperature and the room temperature) - this would be given in the question.

This is ...

AC
Answered by Asher C. Maths tutor
5768 Views

Why does ln(x) differentiate to 1/x ?

At first glance, this may seem quite complicated. However, it is simple once you make use of exponents. 
Let y=ln(x)
This can be written as: e= e

CE
Answered by Charlie E. Maths tutor
14164 Views

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