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Differentiate both equations given with respect to t.
dx/dt = -2sin(t)
dy/dt = -6sin(2t)

dy/dx = (dy/dt) / (dx/dt)
Sub your values in to get

dy/dx = (3sin(2t))/sin(t)

Using the eqauation for volume of sphere (V=4/3 pi r^3) calculate the volume of the original sphere. This comes to 14137.2 cm^3 (1dp). The new cylinder formed has the same volume. Therefore, you can use t...

The derivative of a function f(x) is a measure of how the function f changes as its variable x changes. You have already met an example of derivatives: the gradient, m,...

Sketching trigonometric graphs is all about working from the graphs you already know and seeing how they behave when added/multiplied/substracted from each other to sketch more complicated functions.

1. Divide everything in the brackets by 2.      2x+3 + (2x -1/2) =10

2. Collect like terms (collect 'x' terms and collect numbers).    2x + 2x + 3 -1/2 = 10

3. Simplif...