At 7 pm on a Wednesday evening. Mr Huxley's water tank was full.The capacity of the tank was 3 000 litres.Unfortunately, the tap on the tank was leaking in such a way that the changein volume at any time (r) hours was proportional to the volume (V) of thetank.This means thatAP=-kV .dtShow that V= Ve is a solution of this equation.Given that the volume of the tank after 3 hours is 1900 litres, show thatk = 0.1523 correct to 4 decimal places.(iii) By the time Mr Huxley discovered that the tank was leaking, there wereonly 250 litres of water remaining.At what time and on which day did Mr Huxley discover the leak(Answer correct to the nearest minute)?

We will find out the required values.

At 7 pm on a Wednesday evening. Mr Huxley's water tank was full. The capacity of the tank was 3 000 litres. Unfortunately, the tap on the tank was leaking in such a way that the change in volume at any time (f) hours was proportional to the volume (V) of the tank. AP =-kV. This means that dt (i) Show that =Ve* is a solution of this equation. (ii) Given that the volume of the tank after 3 hours is 1900 litres, show that k = 0.1523 correct to 4 decimal places. (i) By the time Mr Huxley discovered that the tank was leaking, there were only 250 litres of water remaining. At what time and on which day did Mr Huxley discover the leak (Answer correct to the nearest minute)?

At 7 pm on a Wednesday evening. Mr Huxley's water tank was full. The capacity of the tank was 3 000 litres. Unfortunately, the tap on the tank was leaking in such a way that the change in volume at any time (f) hours was proportional to the volume (V) of the tank. AP =-kV. This means that dt (i) Show that =Ve* is a solution of this equation. (ii) Given that the volume of the tank after 3 hours is 1900 litres, show that k = 0.1523 correct to 4 decimal places. (i) By the time Mr Huxley discovered that the tank was leaking, there were only 250 litres of water remaining. At what time and on which day did Mr Huxley discover the leak (Answer correct to the nearest minute)?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.7: More On Inequalities

Problem 44E

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