) Will the rate of change of h with respect to t be constant? Argue your answer   b) Below is a table that indicates the value of the height h (in meters) for the first 10 minutes of time.  Does the information given in the table agree with what you answered in part a? Why? Which of the following graphs represents the behavior of h as a function of time t? Argue your answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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Let us consider a truncated conical container from the top, the dimensions of which are shown in the following figure. The container is originally empty and begins to fill with water through a tap that is in the upper part; the faucet discharges water into the reservoir at a constant rate of 0.01 cubic meters / minute (10 liters per minute).


a) Will the rate of change of h with respect to t be constant?

Argue your answer

 

b) Below is a table that indicates the value of the height h (in meters) for the first 10 minutes of time. 

Does the information given in the table agree with what you answered in part a? Why?


Which of the following graphs represents the behavior of h as a function of time t? Argue your answer

0.16 metros
0.64 metros
0.4 metros
t (en minutos)
h (en metros)
1
0.04
0.08
3
0.12
4
0.17
0.23
0.29
7
0.36
8
0.44
9.
0.53
10
0.64
h
h
h
0.64
0.64
0.64
10
10
10
Gráfica 1
Gráfica 2
Gráfica 3
Transcribed Image Text:0.16 metros 0.64 metros 0.4 metros t (en minutos) h (en metros) 1 0.04 0.08 3 0.12 4 0.17 0.23 0.29 7 0.36 8 0.44 9. 0.53 10 0.64 h h h 0.64 0.64 0.64 10 10 10 Gráfica 1 Gráfica 2 Gráfica 3
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