(a) Explanation The strength of a person’s reaction to a certain drug is R ( Q ) = Q ( C − Q 3 ) 1 2 The derivative of R ( Q ) is called the sensitivity to the drug. Find the derivative of R ( Q ) , R ′ ( Q ) = d d Q ( R ( Q ) ) = d d Q ( Q ( C − Q 3 ) 1 2 ) = Q ⋅ 1 2 ( C − Q 3 (b) To determine To find: The sensitivity to the drug if C = 59 and Q = 87 . (c) To determine Whether the patient’s sensitivity to the drug increasing or decreasing when Q = 87 .

Finite Mathematics and Calculus with Applications (10th Edition)

10th Edition

ISBN: 9780321979407

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 12.3, Problem 64E

(a)

To determine

To find: The derivative of R(Q) .

(b)

To determine

To find: The sensitivity to the drug if C=59 and Q=87 .

(c)

To determine

Whether the patient’s sensitivity to the drug increasing or decreasing when Q=87 .

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Chapter 12.3, Problem 63E

Chapter 12.4, Problem 1YT

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Chapter 12 Solutions

Finite Mathematics and Calculus with Applications (10th Edition)

Ch. 12.1 - iff(t)=1t, find f(t).Ch. 12.1 - Prob. 2YT Ch. 12.1 - Prob. 3YT Ch. 12.1 - If the cost function is given by C(x) = 5x3 10x2...Ch. 12.1 - Prob. 5YT Ch. 12.1 - Prob. 1WE Ch. 12.1 - Prob. 2WE Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E

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Minority Population In Section...Ch. 12.4 - Population Growth In Section 10.4, Exercise 49,...Ch. 12.4 - Cactus Wrens The weight of cactus wrens in grams...Ch. 12.4 - Prob. 48E Ch. 12.4 - Prob. 49E Ch. 12.4 - Prob. 50E Ch. 12.4 - Prob. 52E Ch. 12.4 - Prob. 53E Ch. 12.4 - Prob. 54E Ch. 12.4 - Prob. 55E Ch. 12.4 - Prob. 56E Ch. 12.4 - Prob. 57E Ch. 12.4 - Physical Sciences 58. Radioactive Decay The amount...Ch. 12.4 - Prob. 59E Ch. 12.4 - Prob. 60E Ch. 12.4 - Prob. 61E Ch. 12.4 - Prob. 62E Ch. 12.4 - Prob. 63E Ch. 12.4 - Prob. 64E Ch. 12.4 - Track and Field In 1958, L. Lucy developed a...Ch. 12.5 - Prob. 1YT Ch. 12.5 - Prob. 2YT Ch. 12.5 - Prob. 3YT Ch. 12.5 - Prob. 1WE Ch. 12.5 - Prob. 2WE Ch. 12.5 - Prob. 3WE Ch. 12.5 - Prob. 1E Ch. 12.5 - Prob. 2E Ch. 12.5 - Prob. 3E Ch. 12.5 - Prob. 4E Ch. 12.5 - Prob. 5E Ch. 12.5 - Prob. 6E Ch. 12.5 - Prob. 7E Ch. 12.5 - Prob. 8E Ch. 12.5 - Prob. 9E Ch. 12.5 - Prob. 10E Ch. 12.5 - Prob. 11E Ch. 12.5 - Prob. 12E Ch. 12.5 - Prob. 13E Ch. 12.5 - Prob. 14E Ch. 12.5 - Prob. 15E Ch. 12.5 - Prob. 16E Ch. 12.5 - Prob. 17E Ch. 12.5 - Prob. 18E Ch. 12.5 - Prob. 19E Ch. 12.5 - Prob. 20E Ch. 12.5 - Prob. 21E Ch. 12.5 - Prob. 22E Ch. 12.5 - Prob. 23E Ch. 12.5 - Prob. 24E Ch. 12.5 - Prob. 25E Ch. 12.5 - Prob. 26E Ch. 12.5 - Prob. 27E Ch. 12.5 - Prob. 28E Ch. 12.5 - Prob. 29E Ch. 12.5 - Prob. 30E Ch. 12.5 - Find the derivative of each of the following...Ch. 12.5 - Prob. 32E Ch. 12.5 - Prob. 33E Ch. 12.5 - Prob. 34E Ch. 12.5 - Prob. 35E Ch. 12.5 - Prob. 36E Ch. 12.5 - Prob. 37E Ch. 12.5 - Prob. 38E Ch. 12.5 - Prob. 39E Ch. 12.5 - Prob. 40E Ch. 12.5 - Prob. 41E Ch. 12.5 - Prob. 42E Ch. 12.5 - Prob. 43E Ch. 12.5 - Prob. 44E Ch. 12.5 - Prob. 45E Ch. 12.5 - Prob. 46E Ch. 12.5 - Prob. 47E Ch. 12.5 - Prob. 48E Ch. 12.5 - Prob. 49E Ch. 12.5 - Prob. 50E Ch. 12.5 - Prob. 51E Ch. 12.5 - Prob. 52E Ch. 12.5 - Prob. 53E Ch. 12.5 - Prob. 54E Ch. 12.5 - Prob. 55E Ch. 12.5 - Prob. 56E Ch. 12.5 - Prob. 57E Ch. 12.5 - Profit If the cost function in dollars for q units...Ch. 12.5 - Prob. 59E Ch. 12.5 - Prob. 60E Ch. 12.5 - Prob. 61E Ch. 12.5 - Prob. 62E Ch. 12.5 - Fruit Flies A study of the relation between the...Ch. 12.5 - Prob. 64E Ch. 12.5 - Prob. 65E Ch. 12.5 - Prob. 66E Ch. 12.5 - Prob. 67E Ch. 12.5 - Prob. 68E Ch. 12 - Determine whether each of the following statements...Ch. 12 - Determine whether each of the following statements...Ch. 12 - Prob. 3RE Ch. 12 - Prob. 4RE Ch. 12 - Prob. 5RE Ch. 12 - Prob. 6RE Ch. 12 - Prob. 7RE Ch. 12 - Prob. 8RE Ch. 12 - Prob. 9RE Ch. 12 - Determine whether each of the following statements...Ch. 12 - Prob. 11RE Ch. 12 - Prob. 12RE Ch. 12 - Prob. 13RE Ch. 12 - Prob. 14RE Ch. 12 - Prob. 15RE Ch. 12 - Prob. 16RE Ch. 12 - Prob. 17RE Ch. 12 - Prob. 18RE Ch. 12 - Prob. 19RE Ch. 12 - Prob. 20RE Ch. 12 - Prob. 21RE Ch. 12 - Prob. 22RE Ch. 12 - Prob. 23RE Ch. 12 - Prob. 24RE Ch. 12 - Prob. 25RE Ch. 12 - Prob. 26RE Ch. 12 - Prob. 27RE Ch. 12 - Prob. 28RE Ch. 12 - Prob. 29RE Ch. 12 - Prob. 30RE Ch. 12 - Prob. 31RE Ch. 12 - Prob. 32RE Ch. 12 - Prob. 33RE Ch. 12 - Prob. 34RE Ch. 12 - Prob. 35RE Ch. 12 - Prob. 36RE Ch. 12 - Prob. 37RE Ch. 12 - Prob. 38RE Ch. 12 - Prob. 39RE Ch. 12 - Prob. 40RE Ch. 12 - Prob. 41RE Ch. 12 - Prob. 42RE Ch. 12 - Prob. 43RE Ch. 12 - Prob. 44RE Ch. 12 - Prob. 45RE Ch. 12 - Prob. 46RE Ch. 12 - Prob. 47RE Ch. 12 - Prob. 48RE Ch. 12 - Prob. 49RE Ch. 12 - Prob. 50RE Ch. 12 - Prob. 51RE Ch. 12 - Prob. 52RE Ch. 12 - Prob. 53RE Ch. 12 - Prob. 54RE Ch. 12 - Prob. 55RE Ch. 12 - Prob. 56RE Ch. 12 - Prob. 57RE Ch. 12 - Prob. 58RE Ch. 12 - Prob. 59RE Ch. 12 - Prob. 60RE Ch. 12 - Find the slope of the tangent line to the given...Ch. 12 - Prob. 62RE Ch. 12 - Prob. 63RE Ch. 12 - Prob. 64RE Ch. 12 - Prob. 65RE Ch. 12 - Prob. 66RE Ch. 12 - In Exercise 42 in Section 12.2, we saw an example...Ch. 12 - Prob. 68RE Ch. 12 - Prob. 69RE Ch. 12 - Prob. 70RE Ch. 12 - Prob. 71RE Ch. 12 - Prob. 72RE Ch. 12 - Prob. 73RE Ch. 12 - Prob. 74RE Ch. 12 - Prob. 75RE Ch. 12 - Prob. 76RE Ch. 12 - Prob. 77RE Ch. 12 - Prob. 78RE Ch. 12 - Prob. 79RE Ch. 12 - Prob. 80RE Ch. 12 - Prob. 81RE Ch. 12 - Prob. 83RE Ch. 12 - Prob. 84RE Ch. 12 - Prob. 85RE Ch. 12 - Prob. 86RE Ch. 12 - Prob. 87RE Ch. 12 - Prob. 88RE Ch. 12 - Wind Energy In Section 10.4, Exercise 55, we found...Ch. 12 - Prob. 90RE Ch. 12 - Food Surplus In Section 10.4, Example 7, we found...Ch. 12 - Prob. 92RE Ch. 12 - Prob. 93RE

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The derivative of R ( Q ) .

Solution Summary: The author explains that the derivative of R(Q) is called the sensitivity to the drug.

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To find: The derivative of R(Q) .

To find: The sensitivity to the drug if C=59 and Q=87 .

Whether the patient’s sensitivity to the drug increasing or decreasing when Q=87 .

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Chapter 12 Solutions