Explanation Given information: ∫ 0 5 F ' ( t ) d t = 0 , then F is constant on the interval between t = 0 and t = 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 ) For any constant function F ( t ) , the derivative F ′ ( t ) = 0 . Calculation: Given that ∫ 0 5 F ' ( t ) d t = 0

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 5, Problem 48SYU

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Whether the statement “ ∫05F'(t)dt=0, then F is constant on the interval between t=0 and t=5 ” is true or false.

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Chapter 5, Problem 47SYU

Chapter 5, Problem 49SYU

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(#1) Consider the solid bounded below by z = x² and above by z = 4-y². If we were to project this solid down onto the xy-plane, you should be able to use algebra to determine the 2D region R in the xy-plane for the purposes of integration. Which ONE of these limite of integration would correctly describe R? (a) y: x24x: -22 - (b) y: 22 x: 04-y² (c) y: -√√4-x2. →√√4x²x: −2 → 2 (d) z: 24-y² y: -2 → 2 (e) None of the above

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To indicate: Whether the statement “ ∫ 0 5 F ' ( t ) d t = 0 , then F is constant on the interval between t = 0 and t = 5 ” is true or false.

Solution Summary: The author explains the fundamental theorem of Integral calculus, which states that for any function, f(x) is continuous over the interval.

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To indicate:

Whether the statement “ ∫05F'(t)dt=0, then F is constant on the interval between t=0 and t=5 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate: Whether the statement “ ∫ 0 5 F ' ( t ) d t = 0 , then F is constant on the interval between t = 0 and t = 5 ” is true or false.

Solution Summary: The author explains the fundamental theorem of Integral calculus, which states that for any function, f(x) is continuous over the interval.

Videos

To indicate: Whether the statement “ ∫05F'(t)dt=0, then F is constant on the interval between t=0 and t=5 ” is true or false.

Want to see the full answer?

Chapter 5 Solutions

To indicate:

Whether the statement “ ∫05F'(t)dt=0, then F is constant on the interval between t=0 and t=5 ” is true or false.