4. Let g be the function pictured at left in Figure 5.2.6, and let F be defined by F(x) = ſ, g(t) dt. Assume that the shaded areas have values A₁ = 4.29, A2 = 12.75, A3 = 0.36, and A4 = 1.79. Assume further that the portion of A2 that lies between x = = 0.5 and x = : 2 is 6.06. Sketch a carefully labeled graph of F on the axes provided, and include a written analysis of how you know where F is zero, increasing, decreasing, concave up, and concave down. 4 2+ A1 A2 \\y=g(t) L 1 2 3 4 5 A4 6 A3 -1 15 10 5+ -5 -10+ 1 2 3 Figure 5.2.6. At left, the graph of g. At right, axes for plotting F. 4 5 6

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Chapter2: Second-order Linear Odes
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Could I get help with this along with an explanation please. I was also hoping the answer was hand-written and not typed otherwise it is hard to understand math. Thank you!

4. Let g be the function pictured at left in Figure 5.2.6, and let ♬ be defined by
F(x) = f g(t) dt. Assume that the shaded areas have values A₁ = 4.29,
A2 = 12.75, A3 = 0.36, and A4 = 1.79. Assume further that the portion of A2
that lies between x = 0.5 and x = = 2 is 6.06.
Sketch a carefully labeled graph of F on the axes provided, and include a written
analysis of how you know where F is zero, increasing, decreasing, concave up,
and concave down.
6
4
2
A₁
M
A2
\\y = g(t)
1 2 3 4
5
A4
A3
7
15
10
5-
-5-
-10
2
3
Figure 5.2.6. At left, the graph of g. At right, axes for plotting F.
4
5
6
Transcribed Image Text:4. Let g be the function pictured at left in Figure 5.2.6, and let ♬ be defined by F(x) = f g(t) dt. Assume that the shaded areas have values A₁ = 4.29, A2 = 12.75, A3 = 0.36, and A4 = 1.79. Assume further that the portion of A2 that lies between x = 0.5 and x = = 2 is 6.06. Sketch a carefully labeled graph of F on the axes provided, and include a written analysis of how you know where F is zero, increasing, decreasing, concave up, and concave down. 6 4 2 A₁ M A2 \\y = g(t) 1 2 3 4 5 A4 A3 7 15 10 5- -5- -10 2 3 Figure 5.2.6. At left, the graph of g. At right, axes for plotting F. 4 5 6
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