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Maths
A Level

A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates where the line crosses the x and y axes

m=3

y1=1

x1=2

y-y1=m(x-x1)

y-1=3(x-2)

y-1=3x-6

y=3x-5

at the x-axis, y=0. 

Sub in to find the x co-ordinate:

0=3x-5

x=5/3. Hence the c...

AC
Answered by Anna C. Maths tutor
2942 Views

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...

KR
Answered by Kim R. Maths tutor
4107 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...

HD
Answered by Harry D. Maths tutor
4504 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

MK
Answered by Max K. Maths tutor
3700 Views

Differentiate y=(3x-1)/(2x-1)

First, recognise that the function is a fraction and recall the quotient rule.     y=u/v     dy/dx=(vu'-uv')/v2, where u' and v' is the derivative...

MM
Answered by Martin M. Maths tutor
6928 Views

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