= ["²F(t) Let g(x) = f(t) dt, where f is the function whose graph is shown. y 6 2 N -2 = 0 8 2 40 (a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12. g(0) = 0 g(2) = 2 g(4) = 0 g(6) = -2 g(8) g(10) = g(12) = f 4 6 8 10 12 14 (b) Estimate g(14). (Use the midpoint to get the most precise estimate.) g(14) = 48.8 X X = 12 (c) Where does g have a maximum value? Where does it have a minimum value? X = minimum maximum X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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= √ ² F(t)
Let g(x) =
f(t) dt, where f is the function whose graph is shown.
y
6
+
N
N
2 4 6 8
= 40
00
f
(a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12.
g(0) = |0
g(2) = 2
g(4) = 0
g(6) -2
g(8) = 0
g(10) = 8
g(12)
X = 12
10 12 14
t
(b) Estimate g(14). (Use the midpoint to get the most precise estimate.)
g(14) = 48.8
X
X
☹
(c) Where does g have a maximum value? Where does it have a minimum value?
X =
minimum
maximum
Transcribed Image Text:= √ ² F(t) Let g(x) = f(t) dt, where f is the function whose graph is shown. y 6 + N N 2 4 6 8 = 40 00 f (a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12. g(0) = |0 g(2) = 2 g(4) = 0 g(6) -2 g(8) = 0 g(10) = 8 g(12) X = 12 10 12 14 t (b) Estimate g(14). (Use the midpoint to get the most precise estimate.) g(14) = 48.8 X X ☹ (c) Where does g have a maximum value? Where does it have a minimum value? X = minimum maximum
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