(a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12. g(0) = g(2) = g(4) = 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 value? Where does it have. minimum. maximum X= X = minimum value?

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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Let g(x) =
S f(t) dt, where fis the function whose graph is shown.
y
f
M
2 4
6
8 10 12 14
-2
(a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12.
g(0) =
g(2) =
g(4) =
g(6)
g(8) =
g(10) =
g(12) =
t
(b) Estimate g(14). (Use the midpoint to get the most precise estimate.)
g(14) =
(c) Where does g have a maximum value? Where does it have a minimum value?
minimum
X =
maximum X =
MY NOTES
Transcribed Image Text:Let g(x) = S f(t) dt, where fis the function whose graph is shown. y f M 2 4 6 8 10 12 14 -2 (a) Evaluate g(x) for x = 0, 2, 4, 6, 8, 10, and 12. g(0) = g(2) = g(4) = g(6) g(8) = g(10) = g(12) = t (b) Estimate g(14). (Use the midpoint to get the most precise estimate.) g(14) = (c) Where does g have a maximum value? Where does it have a minimum value? minimum X = maximum X = MY NOTES
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