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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...
Step 1) look at the numbers
Both 15 and 10 are factors of 5
step 2 ) look at the letters
there is only one letter 'r' after the 15
step 3) the...
Simultaneous equations pop up all the time in maths, science, and engineering, so being able to solve them is really useful. Although they can look a bit daunting at first, the same general rules apply...
To start with, we should work out all of the quantities we need:
Mass of Trolley A: MA= 5kg
Mass of Trolley B: B weighs 10kg more tha...
From the rules of logarithms, we know that:
log(A) - log(B) = log(A/B)
and thus:
log(1-x) - log(x) = log[(1-x)/x]
...
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