Science:Math Exam Resources/Courses/MATH215/December 2007/Question 01 (a)

MATH215 December 2007

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Question 01 (a)
A bath contains water. Let the depth of the water at time t be y = y(t). At time t = 0 the plug is pulled and water exits via a drain at the rate of 2y inches per minute. The bath is filled to an initial depth of 10 inches. Find the depth y as a function of time.

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you?

If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

Hint

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Solution
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