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What is the partial fraction expansion of (x+2)/((x+1)^2)?

First we write the fraction in terms of partial fractions with two unknown numerators, A and B, as follows: (x+2)/(x+1)2 = A/(x+1) + B/(x+1)2

Note that since the denominator o...

Answered by Kim R. Maths tutor
4039 Views

ABC is an acute-angled triangle. BA=7cm and BC=8cm. The area of triangle ABC is 18 cm^2 . Work out the size of angle BAC. Give your answer correct to 3 significant figures. You must show all your working.

Draw the triangle ABC and fill in the information given i.e. lengths of BA and BC and identify the angle we are looking for i.e angle BAC Looking at the formulas given identify which one...

Answered by Anna M. Maths tutor
10564 Views

What is the difference between LCM and HCF?

LCM stands for Lowest Common Multiple, and HCF stands for Highest Common Factor.

The key to telling the difference between these two things is knowing the differen...

Answered by Joe C. Maths tutor
111505 Views

find the integral of 1+3 root x

now for any integral the method to deal with it is look for the easiest method, things can get trickier later down the line but always start by looking for the easy solution. this example allows us to see...

Answered by Harry D. Maths tutor
4448 Views

The element of a cone has length L. For what height H (with respect to L) will the volume of the cone be the largest?

This is a good exercise to introduce student to the idea of derivatives and their possible practical use.
Firstly, I should draw the cone and notice that its volume is equal to 1/3piH*R

Answered by Max K. Maths tutor
3655 Views

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