Let g(x) = re) dt, where f is the function whose graph is shown. y f 2 12 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let g(x) =
f(t) dt, where fis the function whose graph is shown.
y
f
2
12
(a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12.
g(0) = 0
9(2) = |2
g(4) = 0
g(6) =
g(8) =
g(10) =
g(12) =|
(b) Estimate g(14). (Use the midpoint to get the most precise estimate.)
g(14) = |
(c) Where does g have a maximum and a minimum value?
minimum
X =
maximum
(d) Sketch a rough graph of g.
y
y
4
2
14
g(x)
g(x)
2
14
y
y
14
2.
g(x)
g(x)
4
2
14
Transcribed Image Text:Let g(x) = f(t) dt, where fis the function whose graph is shown. y f 2 12 (a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12. g(0) = 0 9(2) = |2 g(4) = 0 g(6) = g(8) = g(10) = g(12) =| (b) Estimate g(14). (Use the midpoint to get the most precise estimate.) g(14) = | (c) Where does g have a maximum and a minimum value? minimum X = maximum (d) Sketch a rough graph of g. y y 4 2 14 g(x) g(x) 2 14 y y 14 2. g(x) g(x) 4 2 14
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