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Calculus Early Transcendentals Study Set 1

Mathematics

Quiz 8 :

Mathematical Modeling With Differential Equations

Quiz 8 :

Mathematical Modeling With Differential Equations

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Solve the differential equation. img
Free
Short Answer
Answer:

Answer:

img

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What is the solution to the following differential equation? img
Free
Multiple Choice
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Answer:

C

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Suppose img , find the value of the slope field at img .
Free
Multiple Choice
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Answer:

C

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Solve the differential equation. img
Short Answer
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What is the solution to the following differential equation? img
Multiple Choice
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A tank is filled with img gallons of water with img oz of salt dissolved in it. At t = 0, salt solution containing img oz/gal enters the tank at a rate of img gal/min. Well-mixed solution leaves at the same rate. Write down an expression that gives the amount of salt S, in the tank at any time t.
Short Answer
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Use Euler's method with the step size of img to approximate solution to the initial-value problem img at img .
Multiple Choice
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Solve the following differential equation. img
Short Answer
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Solve the following differential equation. img
Short Answer
Answer:
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What is the solution to the following differential equation? img
Multiple Choice
Answer:
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Solve the following differential equation. img
Short Answer
Answer:
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Suppose img , find the value of the slope field at img .
Multiple Choice
Answer:
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A tank is filled with img gallons of water in which img oz of salt is dissolved. At t = 0, salt solution containing img oz/gal enters the tank at a rate of img gal/min. Well mixed solution leaves at the same rate. Write down an expression that gives the amount of salt S, in the tank at any time t.
Short Answer
Answer:
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Suppose img , find the value of the slope field at img .
Multiple Choice
Answer:
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Suppose img , find the value of the slope field at img .
Multiple Choice
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Solve the differential equation by separation of variables. img
Short Answer
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Suppose img . Find the value of the slope field at img .
Multiple Choice
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Solve the following initial-value problem. img
Short Answer
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A tank initially contains img gal of pure water. At time img a solution containing img oz of dissolved salt per gal flows into the tank at img gal/min. The well stirred mixture is pumped out of the tank at the same rate. Write down an expression for the amount of salt in the tank at any time. How much salt is present at the end of img minutes?
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Solve the differential equation using any method you wish. img img
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