In Exercises 33-36, let I = W / H 2 denote the BM/ described in Example 6.33. A child has weight W = 34 kg and height H = 1.3 m. Use the Linear Approximation to estimate the change in I if (W, H) changes to(36, 1.32).34. Suppose that (W, H) = (34, 1. 3). Use the Linear Approximation to estimate the increase in H required to keep J constant if W increases to 35.35. (a) Show that fl.I~ 0 if fl.Hf fl. W ~ H /2W.(b) Suppose that (W, H) = (25, 1.1). What increase in H will leave J (approximately) constant if W is increased by 1 kg?36. Estimate the change in height that will decrease I by 1 if (W, H) =(25, 1.1), assuming that W remains constant.
In Exercises 33-36, let I = W / H 2 denote the BM/ described in Example 6.33. A child has weight W = 34 kg and height H = 1.3 m. Use the Linear Approximation to estimate the change in I if (W, H) changes to(36, 1.32).34. Suppose that (W, H) = (34, 1. 3). Use the Linear Approximation to estimate the increase in H required to keep J constant if W increases to 35.35. (a) Show that fl.I~ 0 if fl.Hf fl. W ~ H /2W.(b) Suppose that (W, H) = (25, 1.1). What increase in H will leave J (approximately) constant if W is increased by 1 kg?36. Estimate the change in height that will decrease I by 1 if (W, H) =(25, 1.1), assuming that W remains constant.
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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In Exercises 33-36, let I = W / H 2 denote the BM/ described in Example 6.
33. A child has weight W = 34 kg and height H = 1.3 m. Use the Linear Approximation to estimate the change in I if (W, H) changes to
(36, 1.32).
34. Suppose that (W, H) = (34, 1. 3). Use the Linear Approximation to estimate the increase in H required to keep J constant if W increases to 35.
35. (a) Show that fl.I~ 0 if fl.Hf fl. W ~ H /2W.
(b) Suppose that (W, H) = (25, 1.1). What increase in H will leave J (approximately) constant if W is increased by 1 kg?
36. Estimate the change in height that will decrease I by 1 if (W, H) =
(25, 1.1), assuming that W remains constant.
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