dh and simplify it. Use this equation to explain why the drain rate h' (t) cannot be a dt (c) Solve the related rate equation from (b) for constant function unless the filter is completely clogged (that is, unless k = 0.) [Hint: You may use h" (t) to be able to answer this. There h (t)] and about are other ways, too.] Suppose the water is completely drained at a time t = to . Talk about the limits lim,, lim,¬to [h' (t)]. To answer these, make an assumption that h (t) is a monotonically decreasing continuous function (i.e. water doesn't climb back up!), and that h (to) = 0. Verify your findings analytically by using the related rate equation.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter2: Equations, Inequalities, And Problem Solving
Section2.1: Solving First-degree Equations
Problem 69PS
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First image is the word problem context. Please answer PART C from second image. Please show all steps and explain with clear handwriting. No cursive if possible. 

dh
and simplify it. Use this equation to explain why the drain rate h' (t) cannot be a
dt
(c) Solve the related rate equation from (b) for
constant function unless the filter is completely clogged (that is, unless k = 0.) [Hint: You may use h" (t) to be able to answer this. There
h (t)] and about
are other ways, too.] Suppose the water is completely drained at a time t = to . Talk about the limits lim,,
lim,¬to
[h' (t)]. To answer these, make an assumption that h (t) is a monotonically decreasing continuous function (i.e. water doesn't
climb back up!), and that h (to) = 0. Verify your findings analytically by using the related rate equation.
Transcribed Image Text:dh and simplify it. Use this equation to explain why the drain rate h' (t) cannot be a dt (c) Solve the related rate equation from (b) for constant function unless the filter is completely clogged (that is, unless k = 0.) [Hint: You may use h" (t) to be able to answer this. There h (t)] and about are other ways, too.] Suppose the water is completely drained at a time t = to . Talk about the limits lim,, lim,¬to [h' (t)]. To answer these, make an assumption that h (t) is a monotonically decreasing continuous function (i.e. water doesn't climb back up!), and that h (to) = 0. Verify your findings analytically by using the related rate equation.
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