Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
3rd Edition
ISBN: 9780840064189
Author: Frederick R. Adler
Publisher: Cengage Learning
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Question
Chapter 2.3, Problem 28E
(a)
To determine
To sketch:The graph of the continuous function.
(a)
Expert Solution
Explanation of Solution
Given information:
A continuous function that is
Graph:
The sigma function is defined as the function which has the value -1for the negative argument, 0 when the argument is 0 and 1 for the positive argument.
The graph for the given continuous function
Interpretation:
From the graph it is obtained that the value -1 has negative argument and 1 has positive argument. The graph is increasing and decreasing with respect to the argument value
(b)
To determine
To find:The formula for the function.
(b)
Expert Solution
Answer to Problem 28E
The formula for the function is given below as,
Explanation of Solution
Given information:
A continuous function that is
Calculation:
To determine the formula for the function as follows,
Consider the slope for (0.01.l) as 100, and the linear function for
The formula for the function is given below as,
(c)
To determine
The inputs have to be to 0 for the output to be within 0.1 for 0.
(c)
Expert Solution
Answer to Problem 28E
The input should be within -0.001 to 0.001 for the output to be within 0.1 to 0.
Explanation of Solution
Given information:
A continuous function that is
Calculation:
The given function is
To determine the input at
Similarly, consider
From the two values of
Hence, the input should be within -0.001 to 0.001 for the output to be within 0.1 to 0.
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Chapter 2 Solutions
Modeling the Dynamics of Life: Calculus and Probability for Life Scientists
Ch. 2.1 - Prob. 1ECh. 2.1 - Prob. 2ECh. 2.1 - Prob. 3ECh. 2.1 - Prob. 4ECh. 2.1 - Prob. 5ECh. 2.1 - Prob. 6ECh. 2.1 - Prob. 7ECh. 2.1 - Prob. 8ECh. 2.1 - Prob. 9ECh. 2.1 - Prob. 10E
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