A water tank is being filled such that the rate of change of its volume, $V$ (in litres), with respect to time $t$ (in minutes) is given by $\frac{dV}{dt} = 15 - 0.2t$. Initially, at $t=0$, the tank contains 5 litres of water.
b. Determine the average volume of water in the tank during the first 10 minutes.
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Create Free Account Log inThis is a free VCE Units 3 & 4 Mathematical Methods practice question worth 3 marks, testing your understanding of Application of intergration. It falls under Calculus in Unit 3: Mathematical Methods Unit 3. Submit your answer above to receive instant AI-powered marking and personalised feedback.
Extend introductory study of functions, algebra, calculus. Focus on functions, relations, graphs, algebra, and applications of derivatives.
Covers limits, continuity, differentiability, differentiation, and anti-differentiation.
application of integration to problems involving finding a function from a known rate of change given a boundary condition, calculation of the area of a region under a curve and simple cases of areas between curves, average value of a function and other situations.
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