Search our library of Maths questions

Top answers

Maths

All levels

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...

Answered by Keir H. • Maths tutor

13876 Views

differentiate 2^x

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

Answered by Mit P. • Maths tutor

6242 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 ...

Answered by Asher C. • Maths tutor

6125 Views

(2x + 3y)^2 – (2x – 3y)^2 = 360 show that xy is a multiple of 5

Expand first brackets:

4x²+6xy+6xy+9y²

Expand second brackets:

4xy²-6xy-6xy+9y²

Subtract the second e...

Answered by Ryan M. • Maths tutor

9703 Views

Solve the simultaneous equations 5x + 3y = 24 and 3x - 4y = 26

Ok, so here are the equations5x+3y=243x-4y=26So let's multiply the first equation by 3, which gives us:15x+9y=72Now let's multiply the second equation by 5, which gives us:15x-20y=130So we're now left wit...

Answered by William S. • Maths tutor

11526 Views