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This question wants us to find: dh/dt. We are given: dV/dt=80π and V=4πh(h+4). The equation to use here is: dh/dt = dh/dV x dV/dt. We kn...

Since we have to differentiate a fraction, we must use the quotient rule. 

The quotient rule: If y = u/v, dy/dx = (vdu/dx - udv/dx)/v²

So we must work out each of the ter...

2x + y = 7

3x - y = 8

You cannot find x and y using only one equations, but using both you can! So first you have use algebra to make both equations = y. Try this for the first equation by r...

x = 0.848,2.29

So we start off with (11-w)/4 = 1+w

First of all, we will multiply both sides by 4 to make the '/4' disappear. This gives us 11-w = 4+4w

Then move all the w's to one side of the equation to ...