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Q: Use the result of Exercise 5.5.83 to compute

Use the result of Exercise 5.5.83 to compute the average volume of inhaled air in the lungs in one respiratory cycle.

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Q: If a freely falling body starts from rest, then its displacement

If a freely falling body starts from rest, then its displacement is given by / 2tt2. Let the velocity after a time T be vT. Show that if we compute the average of the velocities with respect to t we...

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Q: In Example 3.8.1 we modeled the world population

In Example 3.8.1 we modeled the world population in the second half of the 20th century by the equation P(t) = 2560e0.017185t. Use this equation to estimate the average world population during this ti...

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Q: Sketch the region enclosed by the given curves and find its area

Sketch the region enclosed by the given curves and find its area.

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Q: (a) A cup of coffee has temperature 95°C

(a) A cup of coffee has temperature 95°C and takes 30 minutes to cool to 61°C in a room with temperature 20°C. Use Newton’s Law of Cooling (Section 3...

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Q: The velocity v of blood that flows in a blood vessel with

The velocity v of blood that flows in a blood vessel with radius R and length l at a distance r from the central axis is where P is the pressure difference between the ends of the vessel and is the v...

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Q: In a certain city the temperature (in °F) t

In a certain city the temperature (in °F) t hours after 9 am was modeled by the function Find the average temperature during the period from 9 am to 9 pm.

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Q: The velocity graph of an accelerating car is shown.

The velocity graph of an accelerating car is shown. (a) Use the Midpoint Rule to estimate the average velocity of the car during the first 12 seconds. (b) At what time was the instantaneous velocity...

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Q: Find the average value off on [0, 8].

Find the average value off on [0, 8].

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Q: Find the numbers b such that the average value of f(

Find the numbers b such that the average value of f(x) = 2 + 6x = 3x2 on the interval [0, b] is equal to 3.

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