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volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon, in lect, is modeled by the twice differentiable function r of time t, where t is measured in minutes For 0 <t < 12, the graph of ris concave down. The table below gives selected of the rate of change, r(t), of the radius of the balloon over the time interval 0 St≤ 12. The radius of the balloon is 30 feet when t = 5 (minutes) T'(0) (feet per minute 0 con 2 4.0 5 20 11 12 0.3 0.5 a) Use a right Riemann sum with the five subintervals indicated by the data in the table to approximate f(t) dt. Using correct units, explain the meaning of f² r(t) dt in terms of the radius of the balloon. 12 b) Is your approximation in part (a) greater than or less than f² r(t) dt? Give a reason for your answer. volume of a spherical hot air balloon expands as the air inside the balloon is heated. The radius of the balloon, in lect, is modeled by the twice differentiable function r of time t, where t is measured in minutes For 0 <t < 12, the graph of ris concave down. The table below gives selected of the rate of change, r(t), of the radius of the balloon over the time interval 0 St≤ 12. The radius of the balloon is 30 feet when t = 5 (minutes) T'(0) (feet per minute 0 con 2 4.0 5 20 11 12 0.3 0.5 a) Use a right Riemann sum with the five subintervals indicated by the data in the table to approximate f(t) dt. Using correct units, explain the meaning of f² r(t) dt in terms of the radius of the balloon. 12 b) Is your approximation in part (a) greater than or less than f² r(t) dt? Give a reason for your answer.
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Related Book For
Thermodynamics An Engineering Approach
ISBN: 978-0073398174
8th edition
Authors: Yunus A. Cengel, Michael A. Boles
Posted Date:
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