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-0.5 1. The graph of f(t) is shown below. 8,2 0,5 Carefully sketch a graph of F(x) = f(t)dt on the same set of axes. Please note the scales of the axes.

-0.5 1. The graph of f(t) is shown below. 8,2 0,5 Carefully sketch a graph of F(x) = f(t)dt on the same set of axes. Please note the scales of the axes.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Transcription:** 1. The graph of \( f(t) \) is shown below. **Graph Description:** - The graph is a continuous curve plotted on a coordinate plane. - The x-axis ranges from approximately -1 to 5. - The y-axis ranges from approximately -0.5 to 0.5. - The curve starts slightly below the x-axis at the lower left, peaks near the center, and slopes downward to cross the x-axis again to the far right. **Task:** Carefully sketch a graph of \( F(x) = \int_{0}^{x} f(t) \, dt \) on the same set of axes. Please note the scales on the axes.
Transcribed Image Text:**Transcription:** 1. The graph of \( f(t) \) is shown below. **Graph Description:** - The graph is a continuous curve plotted on a coordinate plane. - The x-axis ranges from approximately -1 to 5. - The y-axis ranges from approximately -0.5 to 0.5. - The curve starts slightly below the x-axis at the lower left, peaks near the center, and slopes downward to cross the x-axis again to the far right. **Task:** Carefully sketch a graph of \( F(x) = \int_{0}^{x} f(t) \, dt \) on the same set of axes. Please note the scales on the axes.
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