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Note: time, t, is measured in minutes, and height, h, is measured in metres.
Let k>0, a constant.
The differential equation to be solved is given by: dh/dt = - k(h)^0.5.
Us...
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...
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...
we have cos (3x) = 0.5 (1) we know that in the interval between [-pi; pi] there are two values that satify the equation cos(y) = 0.5 (2) the two solutions are y=pi/3 and y=-pi/3 in this interval. Mor...
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