(a) Evaluate g(0) and g(6). (b) Estimate g(x) for x = 1, 2, 3, 4, and 5. (c) On what interval is g increasing?
(a) Evaluate g(0) and g(6). (b) Estimate g(x) for x = 1, 2, 3, 4, and 5. (c) On what interval is g increasing?
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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Transcribed Image Text:Let g(x) = f f(t) dt, where ƒ is the function whose graph is
shown.
(a) Evaluate g(0) and g(6).
(b) Estimate g(x) for x = 1, 2, 3, 4, and 5.
(c) On what interval is g increasing?
(d) Where does g have a maximum value?
(e) Sketch a rough graph of g.
(f) Use the graph in part (e) to sketch the graph of g'(x).
Compare with the graph of f.
YA
-2
0
2
f
5
t
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