) 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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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