Consider the finction1ifoと×<1,f Cx) =ifx € [1, 2]Let F(x) =Jof(t)dt for eachX E [0,2]which of the following statemensARE True ?a) Fw =Xfor allX EC0,1]b) Fw =forX E [1,2]all2c) F is discontinuousat x = 1d) F is continuous at x=1 but not differentiable.e) F is differentiable at x= 1 and F'(1) = 1

We have to check whether given statement is true or false.

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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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