I am a Warwick University maths student who has also dabbled in philosophy and mechanics modules.
A lot of the people I have helped who struggle, do so because they either lack understanding or lack passion for the subject. I believe that by tackling these individually we can work towards an improvement. I believe that there's multiple ways of looking at the same thing, and those that are struggling to understand just haven't found the right way of looking at it. So by understanding the student (a meet the tutor session should help this) I can try and tailor my teaching to the student individually.
By booking a meet the tutor session, we can work towards making a difference in you or your child's learning.
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The key here is to eliminate one of the variables; it doesn't matter whether we start by trying to get rid of x or y we will arrive at the same solution. For us to eliminate either x or y it is easiest to find a way of making the co-efficient (number before the x or y) the same in both equations by multiplying through by a number as follows.
If we take 5x+y=8 and multiply through by 2 (don't forget to multiply both sides), we get
So we now have 10x+2y=16 and 6x+2y=4
We can rearrange both equations to give 2y=10x-16=6x-4.
We have now eliminated y leaving us with 10x-16=6x-4
Rearranging gives 10x-6x=16-4 so 4x=12. Therefore x=3.
If we substitute this back into one of our original equations such as 5x+y=8, we get 15+y=8.
Therefore, x=3 and y=-7.see more
In order to solve this question, we need to use the chain rule when differentiating.
The chain rule formula is dy/dx= (dy/du)*(du/dx).
Differentiating with respect to x gives du/dx=3x2
We now have y=u0.5
Differentiating with respect to u gives dy/du=0.5u-0.5=0.5*(1+x3)-0.5
Therefore dy/dx= (dy/du)*(du/dx)= 0.5*(1+x3)-0.5*(3x2)= 1.5x2*(1+x3)-0.5see more