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The volume of a cone is V = 1/3*pi*r^2*h. Make r the subject of the formula.

Answering the question by acknowledging the student understands what the question is actually asking. The subject of the formula sits by itself on one side of the equation and doesn't appear at all on the ot...
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Given y=rootx + 4/rootx = 4, find the value of dy/dx when x=8, writing your answer in the form aroot2, where a is a rational number.

First, we will write out the equation, writing the root x values in a way that allows us to differentiate them. Root x can be written as x^1/2 and 4/rootx can be written as 4x^-1/2. Now we can differentiate....
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what is the difference between remainder and factor theorem?

the remainder theorem helps us find the reminder when a polynomial of degree n f(x)=a n x n +a n-1 x n-1 +.....+a 2 x 2 +a 1 x 1 +a 0 (where a n ,....,a 0 are coefficients) is divided by another polynomial g...
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A block of mass 5kg is on a rough slope inclined at an angle of 30 degrees to the horizontal, it is at the point of sliding down the slope. Calculate the coefficient of friction between the block and the slope.

If the block is at the point of sliding, we know the frictional force, F, is at it's maximuim, F = kR, where k is the coefficient of friction and R is the reaction force.As we know the mass of the block, the...
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Use the formula 5p + 2q = t to find the value of q when p = 4 and t = 24. 6

5p+2q=t 5*4+2q=24.6 20+2q=24.6 2q=24.6-20 2q=4.6 q=4.6/2 q=2.3
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