Explanation Given information: The given figure is Calculation: We estimate the area ∫ 0 7 f ( x ) d x by counting the squares. Each square has a measure of 2 units. Therefore, the function f ( x ) gives negative values from x = 0 to x = 5 and positive from x = 5 to x = 7 . There are 12 squares in the negative part which equals to area 24. In the positive part there are 2 unit squares which equals to 4 To determine (b) To estimate: F ( 7 ) if F isan anti derivative of the same function f and F ( 0 ) = 25 .

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 6.1, Problem 8P

To determine

(a)

To estimate:

∫07f(x)dx

To determine

(b)

To estimate:

F(7) if F isan anti derivative of the same function f and F(0)=25.

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Chapter 6.1, Problem 7P

Chapter 6.1, Problem 9P

Chapter 6 Solutions

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(a) To estimate: ∫ 0 7 f ( x ) d x

Solution Summary: The author calculates the area of the function f(x) by counting the squares.

Concept explainers

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(a)

To estimate:

∫07f(x)dx

(b)

To estimate:

F(7) if F isan anti derivative of the same function f and F(0)=25.

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Chapter 6 Solutions

(a) To estimate: ∫ 0 7 f ( x ) d x

Solution Summary: The author calculates the area of the function f(x) by counting the squares.

Concept explainers

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(a) To estimate: ∫07f(x)dx

(b) To estimate: F(7) if F isan anti derivative of the same function f and F(0)=25.

Want to see the full answer?

Chapter 6 Solutions

(a)

To estimate:

∫07f(x)dx

(b)

To estimate:

F(7) if F isan anti derivative of the same function f and F(0)=25.