2. Consider functions u(x)=x+1 and v(x)=2* . v(x) Refer to the graph of y=- given, u(x) (a) State the regions where (i) v(x). u(x) ->1 -2.5 -2 (ii) v(x)< u(x) <1 -1.5 -1 -0.5 2 1.5 0.5 0 -0.5 -1 -1.5 0.5 1 1.5

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Consider functions u(x)=x+1_and_v(x)=2* .
v(x)
Refer to the graph of y=- given,
u(x)
(a) State the regions where
v(x)
(i)
->1
u(x)
-2.5
-2
(ii)
v(x)
u(x)
<1
-1.5
-1
-0.5
2
1.5
0.5
0
-0.5
-1-
-1.5
0.5
1
1.5
Transcribed Image Text:2. Consider functions u(x)=x+1_and_v(x)=2* . v(x) Refer to the graph of y=- given, u(x) (a) State the regions where v(x) (i) ->1 u(x) -2.5 -2 (ii) v(x) u(x) <1 -1.5 -1 -0.5 2 1.5 0.5 0 -0.5 -1- -1.5 0.5 1 1.5
(b) explain how the graph can be used to identify the regions where
(i) 2*>x+1 (x+1>0 )
(ii) 2*-x-1<0
Transcribed Image Text:(b) explain how the graph can be used to identify the regions where (i) 2*>x+1 (x+1>0 ) (ii) 2*-x-1<0
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