Question 1 Let L = f(h) be the amount of water (in liters) a species of tree needs per week when it is h centimeters tall. Some values are given in the table below. h 100 150 200 250 300 f(h) | 20 30 42 58 75 Let h = g(t) = 100 + 0.1ť² be the height (in centimeters) of a particular tree of this species t months after January 1, 2020. (Assume this model is valid for the first 6 years of the tree's life.) (a) Estimate f'(250). Give units. Explain the practical meaning in a sentence. (b) Calculate gʻ (39). Give units. Explain the practical meaning in a sentence. (c) Estimate dt Give units. Explain the practical meaning in a sentence. It=39
Question 1 Let L = f(h) be the amount of water (in liters) a species of tree needs per week when it is h centimeters tall. Some values are given in the table below. h 100 150 200 250 300 f(h) | 20 30 42 58 75 Let h = g(t) = 100 + 0.1ť² be the height (in centimeters) of a particular tree of this species t months after January 1, 2020. (Assume this model is valid for the first 6 years of the tree's life.) (a) Estimate f'(250). Give units. Explain the practical meaning in a sentence. (b) Calculate gʻ (39). Give units. Explain the practical meaning in a sentence. (c) Estimate dt Give units. Explain the practical meaning in a sentence. It=39
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.5: Systems Of Linear Equations In More Than Two Variables
Problem 37E
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I need answers to a, b, and c.
Transcribed Image Text:Question 1 Let L = f(h) be the amount of water (in liters) a species of tree needs per week when it is h centimeters
tall. Some values are given in the table below.
h
100
150
200
250
300
f(h)
20
30
42
58
75
Let h = g(t)
after January 1, 2020. (Assume this model is valid for the first 6 years of the tree's life.)
100 + 0.1t? be the height (in centimeters) of a particular tree of this species t months
(a) Estimate f'(250). Give units. Explain the practical meaning in a sentence.
(b) Calculate g' (39). Give units. Explain the practical meaning in a sentence.
(c) Estimate
f(g(t))
Give units. Explain the practical meaning in a sentence.
dt
It=39
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