1 if oと ×く1, f Cx) = x € [1, 2] if Let Fl)- Sofledt for each Jof(t)dt for each X E [0,2] which of the following statemens ARE True ? a) Fw = X for all X EC 0,1] b) FaN こ 2 for all X E [1, 2] c) F is dis continuous at x = 1 d) F is con tinuous at x=1 but not differentiable e) F is differentiable at x=1 and F'(1) = 1
1 if oと ×く1, f Cx) = x € [1, 2] if Let Fl)- Sofledt for each Jof(t)dt for each X E [0,2] which of the following statemens ARE True ? a) Fw = X for all X EC 0,1] b) FaN こ 2 for all X E [1, 2] c) F is dis continuous at x = 1 d) F is con tinuous at x=1 but not differentiable e) F is differentiable at x=1 and F'(1) = 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the finction
1
if
oと×<1,
f Cx) =
if
x € [1, 2]
Let F(x) =
Jof(t)dt for each
X E [0,2]
which of the following statemens
ARE True ?
a) Fw =X
for all
X EC0,1]
b) Fw =
for
X E [1,2]
all
2
c) F is discontinuous
at x = 1
d) F is continuous at x=1 but not differentiable.
e) F is differentiable at x= 1 and F'(1) = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19345655-0aa2-4ff9-ad9a-152a33b1de5e%2F8b19fede-a0ed-496a-97f6-5f095f7203d6%2Fd9okmq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the finction
1
if
oと×<1,
f Cx) =
if
x € [1, 2]
Let F(x) =
Jof(t)dt for each
X E [0,2]
which of the following statemens
ARE True ?
a) Fw =X
for all
X EC0,1]
b) Fw =
for
X E [1,2]
all
2
c) F is discontinuous
at x = 1
d) F is continuous at x=1 but not differentiable.
e) F is differentiable at x= 1 and F'(1) = 1
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