Explanation Given information: If ∫ 0 5 F ' ( t ) d t < 0 , then F ( 0 ) > F ( 5 ) . Concept used: Fundamental theorem of Integral calculus says that for any function f ( x ) continuous over the interval [ a , b ] ∫ a b f ′ ( x ) d x = f ( b ) − f ( a ) Calculation: Let us consider ∫ 0 5 F ' ( t ) d t < 0

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 5, Problem 49SYU

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Whether the statement “ If ∫05F'(t)dt<0, then F(0)>F(5) ” is true or false.

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Chapter 5, Problem 48SYU

Chapter 5, Problem 50SYU

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Chapter 5 Solutions

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To indicate: Whether the statement “ If ∫ 0 5 F ' ( t ) d t < 0 , then F ( 0 ) > F ( 5 ) ” is true or false.

Solution Summary: The author explains the fundamental theorem of integral calculus, which says that for any function, the given statement is true.

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To indicate:

Whether the statement “ If ∫05F'(t)dt<0, then F(0)>F(5) ” is true or false.

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Chapter 5 Solutions

To indicate: Whether the statement “ If ∫ 0 5 F ' ( t ) d t &lt; 0 , then F ( 0 ) &gt; F ( 5 ) ” is true or false.

Solution Summary: The author explains the fundamental theorem of integral calculus, which says that for any function, the given statement is true.

Videos

To indicate: Whether the statement “ If ∫05F'(t)dt<0, then F(0)>F(5) ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate: Whether the statement “ If ∫ 0 5 F ' ( t ) d t < 0 , then F ( 0 ) > F ( 5 ) ” is true or false.

To indicate:

Whether the statement “ If ∫05F'(t)dt<0, then F(0)>F(5) ” is true or false.