y. y g(x) - 3 2.

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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The graph of function g is given.
yA
y=g(x)
3\
4.
Arrange the following numbers in increasing order.
0, g'(-2), g'(0), g'(2), g'(4)
O g(0) <0 <g(4) <g'(2) <g'(-2)
O o<g(4) < g'(2) < g'(0) <g'(-
O g'(0) <0 < g(-2) <g'(2) < g(4)
O g(0) <0 <g'(4) < g'(-2) < g'(2)
Og(-2) = g'(o) = g'(2) = 0 < g'(4)
Explain your reasoning.
There are only two nonpositive values, the smallest of which is-Select-
The next smallest value is
Select-, since the other values are all positive. The slope at x = ? v is the next smallest slope since it is smaller than the slope at x =? , and both of these are smaller than the slope at x = 2v
Transcribed Image Text:The graph of function g is given. yA y=g(x) 3\ 4. Arrange the following numbers in increasing order. 0, g'(-2), g'(0), g'(2), g'(4) O g(0) <0 <g(4) <g'(2) <g'(-2) O o<g(4) < g'(2) < g'(0) <g'(- O g'(0) <0 < g(-2) <g'(2) < g(4) O g(0) <0 <g'(4) < g'(-2) < g'(2) Og(-2) = g'(o) = g'(2) = 0 < g'(4) Explain your reasoning. There are only two nonpositive values, the smallest of which is-Select- The next smallest value is Select-, since the other values are all positive. The slope at x = ? v is the next smallest slope since it is smaller than the slope at x =? , and both of these are smaller than the slope at x = 2v
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