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The first thing to notice with this question is that the volume of the tank is given in cm³ yet the rate at which the water leaks is in litres, so a conversion of units will be neccessary. We k...

There are 2 main methods for finding a normal vector.

1. If you know two vectors that lie in the plane e.g. (a,b,c) and (d,e,f), we can find a normal vector by calculating the vector/cross p...

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Find an equation that explains the problem. We can see how many goals the players have scored in comparison to each other. The person with the fewest goals is Chris. Let us say he score x goals. Then we c...

According to the quotient rule, when y(x)=f(x)/g(x), y'(x)=(f'(x)g(x)-g'(x)f(x))/g(x)²

f(x)=9e^7x f'(x)=63e^7x, g(x)=12e^2x g'(x)=24e^2x

y...