Function f is defined as follows: f(x) = { (x−2)² +3, x+1 30 2 " 0≤x≤3 3< x≤5. x > 5

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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2.
Function f is defined as follows:
(a)
(b)
(c)
f(x) = {
(x−2)² +3, 0≤x≤3
x + 1
3 < x≤ 5.
30
x
Sketch the graph y=f(x).
"
>
x > 5
The region R is bounded by the graph y=f(x), the y-axis, the lines
x=2 and x=8. Find the area of the region R.
Determine the set values of x such that ƒ(x) <=√x+3.
Transcribed Image Text:2. Function f is defined as follows: (a) (b) (c) f(x) = { (x−2)² +3, 0≤x≤3 x + 1 3 < x≤ 5. 30 x Sketch the graph y=f(x). " > x > 5 The region R is bounded by the graph y=f(x), the y-axis, the lines x=2 and x=8. Find the area of the region R. Determine the set values of x such that ƒ(x) <=√x+3.
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