Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 L of a dye solution with a concentration of 1 g/L. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 L/min, the well-stirred solution flowing out at the same rate. (a) Clearly state the initial value problem (differential equation + initial condition) and its solution as a function of time t. (b) Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.

Q: Can you please write out on paper how to solve this equation? I can't understand the typed out…

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A: Given as, x¨= y˙ -1 . , y¨=-x-2      u=x˙ and v=y˙       u˙=x¨  v˙=y¨

Q: help

A: Please refer to the image below

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Q: help me solve the problem number 10

A: This question can be solved using formula for reducing powers cos A2=1+cos(2A)2

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Q: THIS SOLUTION IS DIFFICULT TO READ - CAN THIS BE HAND WRITTEN?

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Q: What are the steps to solving this problem?

A: COst function C(x) = 0.001x3+0.2x2+38x+250where x = no. of items producedNow, if x = 30 then C(x) =…

Q: Is there another way to solve this without this complicated formula?

A: The number of rolls of die, The number of faces of a die

Q: Solve for all of the parts that are mentioned.

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Q: Please solve the last 2 parts as well please from the above equation

A: This question can be solved using the concept of derivatives.

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Q: Can you please show how to solve for x and y in step 4.

A: We have to solve for x and y value given in step 4.

Q: Hi, can you please explain or fix how it was written?  especially this part. Thank you. You may…

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Q: an more work be shown on how to solve this

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Q: solution is typed off the page

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Q: how do we go about solving the last two parts?

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Q: e – Va + 6

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A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…