Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 2 1 y 1 2 3 4 5 6 7 -1 (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. g(0) = = 0 9(1)= 12 1/2 g(2) = 0 g(3) = -1/2 9(4)= 0 9(5) == 3/2 9(6)- 4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) g(7) = = X (c) Where does g have a maximum value? Where does it have a minimum value? minimum X = 3 maximum x = 7 (d) Sketch
Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 2 1 y 1 2 3 4 5 6 7 -1 (a) Evaluate g(x) for x = 0, 1, 2, 3, 4, 5, and 6. g(0) = = 0 9(1)= 12 1/2 g(2) = 0 g(3) = -1/2 9(4)= 0 9(5) == 3/2 9(6)- 4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) g(7) = = X (c) Where does g have a maximum value? Where does it have a minimum value? minimum X = 3 maximum x = 7 (d) Sketch
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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