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Maths A-level Question, Rates of change involving a cylindrical vessel.

What do we know (IN) dv/dt = o.4π(OUT) dv/dt = 0.2π(h) 0.5 Initial height of water in vessel is 2.25m Diameter = 4m a) Show that at time t minutes after that tap has been opened, the height h m of the water ...
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Answered by Zubin M. • Maths tutor
3999 Views

Make h the subject of h-36=(3h+18)/i

First, multiply both sides of the equation by 'i' to remove the fraction: i(h-36) = 3h +18 Then, expand the bracket by multiplying 'i' by each of the terms inside (first h then '-36'). Make sure to keep the ...
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Answered by Rebecca T. • Maths tutor
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Factorise fully 27x^2 - 3

First, work out what number is a common factor of both terms - in other words what number 'goes into' both 27 and 3? 3 is a factor of both so put 3 outside the bracket. = 3( __ - __) Now work out what goes i...
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Answered by Rebecca T. • Maths tutor
5568 Views

Solve the following set of equations. 3x + 2y = 5, 2x + 3y =6

This question is an example of simultaneous equations. It's very important to show your working on this question otherwise you won't get any marks, even if you get the right answer! All simultaneous question...
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Answered by Errol L. • Maths tutor
4587 Views

Find the coordinates of the minimum point on the curve: y = x^2 - x - 2

Start with the given equation from the question and differentiate it with respect to x to give you:dy/dx = 2x - 1The value of this gives you the slope of the curve and we know that the minimum point has a sl...
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Answered by Alex R. • Maths tutor
5597 Views