و 4. Your friend is measuring the distance of a plane as it lands where height, H(t) is in metres and time, t, in seconds. The function can be represented by H(t) = 32+ 1.5, t > 0. a. Determine the following, to two decimal places. t2 i. the average rate of change for the interval 1 ≤ t≤ 5 ii. the approximate instantaneous rate of change of height at exactly 1 minute. b. What does the sign of your answer to part a), subpart ii), indicate about the plane?

College Algebra
7th Edition
ISBN:9781305115545
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 2E
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4. Your friend is measuring the distance of a plane as it lands where height, H(t) is in metres and time, t, in
seconds. The function can be represented by H(t) = 32+ 1.5, t > 0.
a. Determine the following, to two decimal places.
t2
i. the average rate of change for the interval 1 ≤ t≤ 5
ii.
the approximate instantaneous rate of change of height at exactly 1 minute.
b. What does the sign of your answer to part a), subpart ii), indicate about the plane?
Transcribed Image Text:و 4. Your friend is measuring the distance of a plane as it lands where height, H(t) is in metres and time, t, in seconds. The function can be represented by H(t) = 32+ 1.5, t > 0. a. Determine the following, to two decimal places. t2 i. the average rate of change for the interval 1 ≤ t≤ 5 ii. the approximate instantaneous rate of change of height at exactly 1 minute. b. What does the sign of your answer to part a), subpart ii), indicate about the plane?
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