A tank contains 3000 gallons of pure water. Polluted water containing 2 lb of sludge per gallonenters the tank at a rate of 5 gallons/hour. The solution is thoroughly mixed and drains from thetank at a rate of 6 gallon/hour. Find a formula for the concentration of pollutants at time t. Sketchthe graph of the concentration over time (you are welcome to use a graphing calculator), clearlyshowing the valid domain for your solution.

To find a formula for the concentration of pollutants at time t in the tank.

Answered: A tank contains 3000 gallons of pure…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of the puddle remains at 4 mm while the radius increases. The syrup is added at a constant rate of 20 cubic mm per second. What is the rate the radius is increasing when 314.159 cubic mm have been poured? Use the variables V for volume, h for height, and r for radius. Give the correct label for each value in terms of these variables. 4= 20= 314.159= What the question is asking for=
Suppose the relationship between Y and X is given by: Y = -5 - 10X By how much does Y change if X decreases by 2 units?
When you use a spray can and press the valve at the top, you decrease the pressure of the gas in the can. This decrease of pressure causes the volume of the gas in the can to increase. Because the gas needs more room than is provided in the can, it expands in spray form through the small hole near the valve. In general, if the temperature is constant, the pressure, P, of a gas in a container varies inversely as the volume, V, of the container. The pressure of a gas sample in a container whose volume is 8 cubic inches is 12 pounds per square inch. If the sample expands to a volume of 22 cubic inches, what is the new pressure of the gas?
Please give me complete, neat, and organized solutions and boxed final answers.
According to Boyle's law, which graph shows the relationship between the pressure (æ) and volume (y) for a certain amount of gas?
Plz help. Thanks so much.
A fish population starts at 15000. The (annual) birth rate is 0.4; the (annual) death rate is 0.3. In addition, 1500 fish are stocked each year, and 2000 are caught and removed from the population each year. Determine the size of the population after 1 year and 2 years Answer to the nearest 1.
Please answer within 30min thanks.
Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs a. Draw a graphical representation of the model that you chose to use. b. Comparing the model to your data, evaluate its fit in one or two sentences. (Not sure what this question is getting at. I've provided all the information given) c. Replace the generic Yi = β0 + ε with the information you have here. Please help. I have no idea what this even means or where to start. HERE is the attached dataset to start with; a b c d e f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6…
Suppose that you test apple juice and find that the hydrogen ion concentration [H+]=0.0003. Find the pH value and determine whether the juice is basic or acidic.
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Consider the equation from a previous homework: INCOME = -1.5 + 1.2*AGE + ε Suppose income wasn't expressed in thousands of dollars but just in dollars. What would the coefficient for AGE be?

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