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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...
8x3-12x2-2x+D...(1)
2x+1...(2)
Assume 2x+1=0 so x=-1/2
8x3-12x2-2x+D=-2... when divided by (2)
substi...
To answer this question we require the chain rule, which states that dy/dx=(dy/du)*(du/dx)
To use this formula in our question, we can let y=ln(sin(3x))=ln(u) where u=sin(3x)
<...
First, write the line in vector form r=(1 1 1) + t(1 2 -1). Consider a point P on the line such that the line connecting P and A is perpendicular to L. The vector P->A is (2 3 4) - (1 1 1) - ...
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