MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question

M9

 

Suppose \( F(t) \) has the derivative \( f(t) \) shown below, and \( F(0) = 1 \). Find values for \( F(1) \) and \( F(9) \). **Graph Explanation:** - The graph displays the function \( f(t) \), which is the derivative of \( F(t) \). - The x-axis ranges from 0 to 9, and the y-axis ranges from -3 to 3. - Between \( t = 0 \) and \( t = 1 \), the graph descends linearly from 0 to -2. - From \( t = 1 \) to \( t = 2 \), it ascends linearly from -2 to 1. - From \( t = 2 \) to \( t = 3 \), it rises linearly from 1 to 3. - From \( t = 3 \) to \( t = 9 \), it remains constant at 3. **Calculation:** Given that \( F(0) = 1 \), the goal is to find \( F(1) \) and \( F(9) \). \[ F(1) = \] \[ F(9) = \]
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Transcribed Image Text:Suppose \( F(t) \) has the derivative \( f(t) \) shown below, and \( F(0) = 1 \). Find values for \( F(1) \) and \( F(9) \). **Graph Explanation:** - The graph displays the function \( f(t) \), which is the derivative of \( F(t) \). - The x-axis ranges from 0 to 9, and the y-axis ranges from -3 to 3. - Between \( t = 0 \) and \( t = 1 \), the graph descends linearly from 0 to -2. - From \( t = 1 \) to \( t = 2 \), it ascends linearly from -2 to 1. - From \( t = 2 \) to \( t = 3 \), it rises linearly from 1 to 3. - From \( t = 3 \) to \( t = 9 \), it remains constant at 3. **Calculation:** Given that \( F(0) = 1 \), the goal is to find \( F(1) \) and \( F(9) \). \[ F(1) = \] \[ F(9) = \]
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