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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
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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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
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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