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Based on empirical data, scientists have determined the following function that models the height of a certain species of tree: h(t) = /3.2t for 0

Based on empirical data, scientists have determined the following function that models the height of a certain species of tree: h(t) = /3.2t for 0

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Based on empirical data, scientists have determined the following function that models the height of a certain species of tree: h (t) = V3.2t for 0 <t < 100, where h is the height of the tree in feet and tis the age of the tree in years. Answer the following questions in the text box below. Label your answers a) through f). * For parts a), c), e), just write the answer (the value you have computed), you do not need to type in your work. a) Compute the average rate of change of h(t) from t = 25 to t= 75. b) Interpret your answer for a) according to the context of the problem and using appropriate units. c) Compute h' (25). d) Interpret your answer for c) according to the context of the problem and using appropriate units. e) Compute h' (75). f) Interpret your answer for e) according to the context of the problem and using appropriate units.
Transcribed Image Text:Based on empirical data, scientists have determined the following function that models the height of a certain species of tree: h (t) = V3.2t for 0 <t < 100, where h is the height of the tree in feet and tis the age of the tree in years. Answer the following questions in the text box below. Label your answers a) through f). * For parts a), c), e), just write the answer (the value you have computed), you do not need to type in your work. a) Compute the average rate of change of h(t) from t = 25 to t= 75. b) Interpret your answer for a) according to the context of the problem and using appropriate units. c) Compute h' (25). d) Interpret your answer for c) according to the context of the problem and using appropriate units. e) Compute h' (75). f) Interpret your answer for e) according to the context of the problem and using appropriate units.
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