Explanation Given information: The figure shows the response of the heart to bleeding. The pumping rate drops and then returns to normal if the person recovers fully, or drops to zero if the person dies. Formula used: 1 hour = 60 minutes Calculation: The total area bounded in time interval 0 to 3 hours considering the death curve. From the given graph, the total area bounded in time interval 0 to 3 hours is given by Area of the rectangle ( A 1 ) + Area of the rectangle ( A 2 ) + Area of the triangle ( A 3 ) Area = 60 ⋅ { ( 5 × 0 To determine (b) To express: The amount of blood pumped during the three hours leading to death as a definite integral if f ( t ) is the pumping rate in litres per minute at time t hours. To determine (c) To calculate and graph: The amount of blood would have been pumped during the same time period if there had been no bleeding.

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 5.4, Problem 33P

To determine

(a)

To find:

The amount of blood pumped during the three hours leading to death, if the body is bled 2 litres.

To determine

(b)

To express:

The amount of blood pumped during the three hours leading to death as a definite integral if f(t) is the pumping rate

in litres per minute at time t hours.

To determine

(c)

To calculate and graph:

The amount of blood would have been pumped during the same time period if there had been no bleeding.

Expert Solution & Answer

Chapter 5 Solutions

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(a) To find: The amount of blood pumped during the three hours leading to death, if the body is bled 2 litres.

Solution Summary: The author calculates the total area bounded in time interval 0 to 3 hours considering the death curve. The pumping rate drops and then returns to normal if the person recovers fully.

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(a) To find: The amount of blood pumped during the three hours leading to death, if the body is bled 2 litres.

(b) To express: The amount of blood pumped during the three hours leading to death as a definite integral if f(t) is the pumping rate in litres per minute at time t hours.

(c) To calculate and graph: The amount of blood would have been pumped during the same time period if there had been no bleeding.

Chapter 5 Solutions

(a)

To find:

The amount of blood pumped during the three hours leading to death, if the body is bled 2 litres.

(b)

To express:

The amount of blood pumped during the three hours leading to death as a definite integral if f(t) is the pumping rate

in litres per minute at time t hours.

(c)

To calculate and graph:

The amount of blood would have been pumped during the same time period if there had been no bleeding.