Let and f(x) = 0 g(x) = 2-x 0 g(x) = ["fie) (a) Find an expression for g(x) similar to the one for f(x). if x < 0 f(t) dt. y if x < 0 if 0 sxs 1 (b) Sketch the graph of f. y 1 if 1 2 1 Sketch the graph of g. y y if 0≤x≤1 if 1 < x≤2 if x > 2 1 g(x) 1 f(x) f(x) 2 2 2 1 + g(x) 2 X X X X O (c) Where is f differentiable? (Enter your answer using interval notation.) Where is g differentiable? (Enter your answer using interval notation.) y y -1 y -1 y 1 1 g(x) g(x) 1 f(x) fix) 2 2 2 X X X X
Let and f(x) = 0 g(x) = 2-x 0 g(x) = ["fie) (a) Find an expression for g(x) similar to the one for f(x). if x < 0 f(t) dt. y if x < 0 if 0 sxs 1 (b) Sketch the graph of f. y 1 if 1 2 1 Sketch the graph of g. y y if 0≤x≤1 if 1 < x≤2 if x > 2 1 g(x) 1 f(x) f(x) 2 2 2 1 + g(x) 2 X X X X O (c) Where is f differentiable? (Enter your answer using interval notation.) Where is g differentiable? (Enter your answer using interval notation.) y y -1 y -1 y 1 1 g(x) g(x) 1 f(x) fix) 2 2 2 X X X X
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:Let
and
f(x) =
0
g(x) =
2-x
0
g(x) = ["fie)
(a) Find an expression for g(x) similar to the one for f(x).
if x < 0
f(t) dt.
y
if x < 0
if 0 sxs 1
(b) Sketch the graph of f.
y
1
if 1<x<2
if x > 2
1
Sketch the graph of g.
y
y
if 0≤x≤1
if 1 < x≤2
if x > 2
1
g(x)
1
f(x)
f(x)
2
2
2
1
+
g(x)
2
X
X
X
X
O
(c) Where is f differentiable? (Enter your answer using interval notation.)
Where is g differentiable? (Enter your answer using interval notation.)
y
y
-1
y
-1
y
1
1
g(x)
g(x)
1
f(x)
fix)
2
2
2
X
X
X
X
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