Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![The graph of a derivative \( f'(x) \) is shown in the figure below.
*Graph Description:*
- The graph has \( x \)-axis values ranging from 0 to 6.
- For \( 0 \leq x < 2 \), \( f'(x) = -9 \).
- At \( x = 2 \), \( f'(x) jumps to 0 and remains 0 until \( x = 4 \).
- At \( x = 4 \), \( f'(x) jumps to 9 and remains 9 until \( x = 6 \).
Fill in the table of values for \( f(x) \) given that \( f(0) = 3 \).
Enter the exact answers.
\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
f(x) & 3 & \text{[ ]} & \text{[ ]} & \text{[ ]} & \text{[ ]} & \text{[ ]} & \text{[ ]} \\
\hline
\end{array}
\]](https://content.bartleby.com/qna-images/question/f1ac4a5c-5c91-4743-9545-fc03c7695e62/b9ac9eb7-2e67-45b2-b0df-6ec1869bc3b4/6nx7ebg_processed.png)
Transcribed Image Text:The graph of a derivative \( f'(x) \) is shown in the figure below.
*Graph Description:*
- The graph has \( x \)-axis values ranging from 0 to 6.
- For \( 0 \leq x < 2 \), \( f'(x) = -9 \).
- At \( x = 2 \), \( f'(x) jumps to 0 and remains 0 until \( x = 4 \).
- At \( x = 4 \), \( f'(x) jumps to 9 and remains 9 until \( x = 6 \).
Fill in the table of values for \( f(x) \) given that \( f(0) = 3 \).
Enter the exact answers.
\[
\begin{array}{|c|c|c|c|c|c|c|c|}
\hline
x & 0 & 1 & 2 & 3 & 4 & 5 & 6 \\
\hline
f(x) & 3 & \text{[ ]} & \text{[ ]} & \text{[ ]} & \text{[ ]} & \text{[ ]} & \text{[ ]} \\
\hline
\end{array}
\]
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