4. See the HINTS for a worked problem. The objective here is build your understanding that df (o) represents the slope of the function f(x) at the point xo. You are given three plots that contain function and derivative values. You are to sketch by hand as simple of a function as you can that satisfies: the function passes through the given function values indicated by the red dots; and • its slope at those points is given by the slope of the corresponding black line segment. Xo f(xo) df (xo) dx -1.00 -1.00 2.00 0.00 0.00 0.00 1.00 1.00 2.00 Xo f(xo) df(xo) dx -1.00 -1.00 2.00 0.00 0.00 -1.00 1.00 1.00 2.00 1.0 5 0.5 0.0 -0.5 -1.0 1.0 0.5 0.0 -0.5 -1.0 -2 1 1 (a) (b)
4. See the HINTS for a worked problem. The objective here is build your understanding that df (o) represents the slope of the function f(x) at the point xo. You are given three plots that contain function and derivative values. You are to sketch by hand as simple of a function as you can that satisfies: the function passes through the given function values indicated by the red dots; and • its slope at those points is given by the slope of the corresponding black line segment. Xo f(xo) df (xo) dx -1.00 -1.00 2.00 0.00 0.00 0.00 1.00 1.00 2.00 Xo f(xo) df(xo) dx -1.00 -1.00 2.00 0.00 0.00 -1.00 1.00 1.00 2.00 1.0 5 0.5 0.0 -0.5 -1.0 1.0 0.5 0.0 -0.5 -1.0 -2 1 1 (a) (b)
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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Transcribed Image Text:4. See the HINTS for a worked problem. The objective here is build your understanding that df (o) represents the slope of the
function f(x) at the point xo. You are given three plots that contain function and derivative values. You are to sketch by hand
as simple of a function as you can that satisfies:
the function passes through the given function values indicated by the red dots; and
• its slope at those points is given by the slope of the corresponding black line segment.
Xo f(xo)
df(xo)
dx
-1.00 -1.00 2.00
0.00 0.00
0.00
1.00
1.00 2.00
Xo f(xo)
df (xo)
dx
-1.00 -1.00 2.00
0.00 0.00 -1.00
1.00 1.00 2.00
1.0
0.5
0.0
-0.5
-1.0 -
1.0
0.5
0.0
-0.5
-1.0
-2
1
(a)
(b)
1
Transcribed Image Text:Xo f(xo)
df (xo)
dx
-1.00 -1.00 1.00
0.00 0.00
1.00
1.00 1.00 1.00
1.0
0.5
0.0
-0.5
-1.0
-2
(c)
1
0
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