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As the name suggests, the product rule is used to differentiate a function in which a product of 2 expressions in x exists. This means the two expressions in x are multiplied by each other, even when t...
So lets have a quick recap of differenciation to start off. In informal terms, differenciation is carried out by dropping the power to be in front of the term we are differenciating to as well as decremen...
The general formula for a volume of rotation is pi times the integral of y^2. The first step is to square y. this can be done by squaring the first term, squaring the last term and finding twice the pr...
The rate at which the area is increasing, dA/dt, can be written with terms we know or can find out easily: dA/dt=dA/dr x dr/dt.Area of a disc, A = (pi)r^2dA/dr=2(pi)rRate of change of radius, dr/d...
Note here: u_n indicates u subscript n.
(a) u_1 = 48 and the ratio, r = 0.6
Using a calculator, u_2 = 48 x 0.6 = 28.8
u_3 = 28.8 x 0.6 = 17.28
(b...
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