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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...
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...
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...
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...
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...
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