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dy/dx = dy/dt *dt/dx (chain rule).
x=4tan(t) hence dx/dt = 4 sec2(t)
y = 531/2sin(2t) hence y'= 1031/2 cos(2t)
therefore dy/dx = 103...
To find the first derivative we must apply the chain rule. Our aim is to find dr/d(theta). We start by bringing the differential of what's inside the sine brackets outside and multiplying it by the differ...
This question is testing your understanding of speed, distance and time and sounds much more complicated than it actually is. For a question like this one, it is best to draw a picture to help you get a b...
I would first write out the integral with correct notation, explaining to my tutee exactly what I am drawing and why. I will then explain the 'n+1' rule for integrating simple powers. I will go through th...
Firstly, get both fractions to the same demonimator 3/4 X 5/5 = 15/20. 2/5 X 4/4 = 8/20
This makes the question become (15/20 + 8/20)2
15/20 + 8/20 = 23/20
Therefore (23...
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