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A typical human heart pumps 70 milliliters(mL) of blood with each heartbeat. Assuming a heart rate of 60 beats per minute, a reasonable model for the outflow rate is V'(t) = 70(1+ sin(2at). where V(t) is the amount of blood in mL pumped since time 0, and t is measured in seconds. %3D

A typical human heart pumps 70 milliliters(mL) of blood with each heartbeat. Assuming a heart rate of 60 beats per minute, a reasonable model for the outflow rate is V'(t) = 70(1+ sin(2at). where V(t) is the amount of blood in mL pumped since time 0, and t is measured in seconds. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Find V(T), the amount of blood pumped up to time T.
Transcribed Image Text:3. Find V(T), the amount of blood pumped up to time T.
A typical human heart pumps 70 milliliters(mL) of blood with each heartbeat. Assuming a heart rate of 60 beats per minute, a reasonable model for the outflow rate is V'(t)= 70(1 + sin(2at). where V(t) is the amount of blood in mL pumped since time 0, and t is measured in seconds. %3D 1. Use the FTC to verify that the amount of blood pumped in the first second is 70 mL.
Transcribed Image Text:A typical human heart pumps 70 milliliters(mL) of blood with each heartbeat. Assuming a heart rate of 60 beats per minute, a reasonable model for the outflow rate is V'(t)= 70(1 + sin(2at). where V(t) is the amount of blood in mL pumped since time 0, and t is measured in seconds. %3D 1. Use the FTC to verify that the amount of blood pumped in the first second is 70 mL.
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