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The easiest thing to do is to look at what is in the name. For integration you have `in`, which corresponds to an `increase` in power. Whereas with differenentiation you have `d` for decrease in power. Th...
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.
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