4. It is known that water is stored ina cylindrical tank. If the faucet located at the bottom of the tankis opened, then the water will flow out so that the water level inthe tank decreases along with increasing time. The rate of descentof water in the tank is modeled mathematically by
the following equation:
where k is a constant that depends onthe shape and size of the tank and the faucet.The water level is measured in meters and the time is in minutes.If k = 0.7654 and the water levelat the beginning of the observation is 3.5m, determine the level ofwater remaining in the tank after
t = 4.5 minutes. Use the Runge KuttaOrder 4 method with 0.75 minute steps and 4 digits behindcoma.
dy dt : -k/y
4. It is known that water is stored in a cylindrical tank. If the faucet located at the bottom of the tank is opened, th
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