-41. Weather Balloon Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.5 ft/s. Initially, the balloon contains 2 ft’ of hydrogen. (a) Find a linear function V that models the volume of hydrogen in the balloon at any time t. (b) If the balloon has a capacity of 15 ft’, how long does it take to completely fill the balloon?

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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Sec 2.5: #41.
•41. Weather Balloon Weather balloons are filled with hydrogen
and released at various sites to measure and transmit data
about conditions such as air pressure and temperature. A
weather balloon is filled with hydrogen at the rate of 0.5 ft/s.
Initially, the balloon contains 2 ft’ of hydrogen.
(a) Find a linear function V that models the volume of
hydrogen in the balloon at any time t.
(b) If the balloon has a capacity of 15 ft’, how long does it
take to completely fill the balloon?
Transcribed Image Text:•41. Weather Balloon Weather balloons are filled with hydrogen and released at various sites to measure and transmit data about conditions such as air pressure and temperature. A weather balloon is filled with hydrogen at the rate of 0.5 ft/s. Initially, the balloon contains 2 ft’ of hydrogen. (a) Find a linear function V that models the volume of hydrogen in the balloon at any time t. (b) If the balloon has a capacity of 15 ft’, how long does it take to completely fill the balloon?
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