Let g(x) = | F(t) dt, where fis the function whose graph is shown. y f 12 1 (a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12. 9(0) = g(2) = 9(4) = g(6) = 9(8) = 9(10) = g(12) = -00

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