Explanation Given information: If f ( t ) = t 2 , then left hand sum gives an overestimate for ∫ − 2 − 1 f ( t ) d t . Concept used: We know that, if f ( t ) is a decreasing function, then the left hand sum gives an overestimate for ∫ a b f ( t ) d t and if f ( t ) is an increasing function, then the left hand sum gives an underestimate for ∫ a b f ( t ) d t . Calculation: Since, the integral ∫ − 2 − 1 f ( t ) d t has the limits from − 2 to − 1 . Therefore, first we find that f ( t ) = t 2 is an increasing or decreasing function for these limits

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 5, Problem 19SYU

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Whether the statement “, If f(t)=t2, then left hand sum gives an overestimate for ∫−2−1f(t)dt ” is true or false.

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Chapter 5, Problem 18SYU

Chapter 5, Problem 20SYU

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To indicate: Whether the statement “, If f ( t ) = t 2 , then left hand sum gives an overestimate for ∫ − 2 − 1 f ( t ) d t ” is true or false.

Solution Summary: The author explains that if f(t) is a decreasing function, then the left hand sum gives an overestimate.

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To indicate:

Whether the statement “, If f(t)=t2, then left hand sum gives an overestimate for ∫−2−1f(t)dt ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate: Whether the statement “, If f ( t ) = t 2 , then left hand sum gives an overestimate for ∫ − 2 − 1 f ( t ) d t ” is true or false.

Solution Summary: The author explains that if f(t) is a decreasing function, then the left hand sum gives an overestimate.

Videos

To indicate: Whether the statement “, If f(t)=t2, then left hand sum gives an overestimate for ∫−2−1f(t)dt ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate:

Whether the statement “, If f(t)=t2, then left hand sum gives an overestimate for ∫−2−1f(t)dt ” is true or false.