6. As blood circulates through our bodies, at any given time we have some volume ofblood within vital organs. A researcher measured the rate of change in the volumeof blood (in liters) per minute flowing through a liver. She obtained the followingrelationship: V = 0.8+ sin(2t - 7), where at t = 0, V(t) = 0.75. Find the blooddVdtvolume as a function of time.

Answered: Image /qna-images/answer/664b9d94-d158-4642-aef9-94f33306e5de.jpg

Answered: 6. As blood circulates through our…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

1. The period T of oscillation (in seconds) of a simple pendulum of length L (in feet) is given by T = 2n 32 a.) What is the rate of change of T with respect to L when L = 8 inches? b.) What is the average rate of change of T from L = 2 inches to L = 8 inches?
The bacteria in a certain culture increase according to dN/dt = 0.25N. If originally N = 200, find N when 1 = 8.
Consider the image shown below. The square is completely inscribed in the circle. The circle's radius is increasing at a rate of 0.8 cm/sec. (a) Find the area of the circle at the instant when the sides of the square are each 4 cm. (b) What is the rate of change of the circle's area at the instant the sides of the square are each 4 cm? (c) At the instant the radius of the circle is 5/2 , how fast is the area of the shaded region changing with respect to time?
If the radius r of a circle is decreasing at the rate of 5 cm per minute, find the rate of change of area when radius is 6 cm. A. dA/dt= -360pi B. dA/dt= 360pi C. dA/dt= -60pi D. dA/dt= 60pi E. dA/dt= -30pi
A buoy bobs up and down on ocean waves. It’s heigh is measured by the function h(t)= 3 cos (t) where h(t) is measured in feet and t is measured in seconds. What is the rate of change (in ft/s) of the heights of the buoy at t= 3pi/2
The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The resistance R is slowly increasing as the resistor heats up. Use Ohm's Law, V = IR, to find how the current I is changing at the moment when R = 362 , I = 0.08 A, dv/dt = -0.07 V/s, and dR/dt = 0.01 M/s. (Round your answer to six decimal places.) A/s
A person is walking at a rate of 5 ft per hour toward the foot of a flag pole 60 feet high. At what rate is the distance S(x) from the head of the person to the top of the pole changing when 80 ft from the bottom of the flag pole?
The height of a buoy on a lake is changing during a storm. The height's rate of change can be modeled by r(t) = 0.5 cos(0.2t) feet per second where t is measured in seconds. Is the buoy's height increasing or decreasing at time t = 10 seconds? Why?
The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t is measured in hours. By how much did the concentration of bacteria increase after 4 hours?
Researchers have found a correlation between respiratory rate and body mass in the first three years of life. This correlation can be expressed by the function log R(w) = 1.85-0.48 log (w), where w is the body weight (in kilograms) and R(w) is the respiratory rate (in breaths per minute). a. Find R'(w) using implicit differentiation. b. Find R'(w) by first solving the equation for R(w). c. Discuss the two procedures. Is there a situation when you would want to use lone method over another? a. R'(w) =[| (Simplify your answer. Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)

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