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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...

ZM
Answered by Zubin M. Maths tutor
3448 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 t...

RT
Answered by Rebecca T. Maths tutor
3346 Views

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 goe...

RT
Answered by Rebecca T. Maths tutor
4814 Views

Sodium’s atomic number is 11 and its mass number is 23. How many protons, electrons and neutrons does it have?

The mass number defines the number of protons and neutrons in an atom. The atomic number shows the number of protons in an atom (nucleus). Because there is the same number of protons as e...

CM
71099 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 quest...

EL
Answered by Errol L. Maths tutor
4004 Views

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