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3. For a positive integer n, let P(n) be the number of partitions of n, that is, the number of ways of writing n as a sum of one or more positive integers. For example, P(4) = 5 since the number 4 can be partitioned in five different ways: 4, 3+ 1, 2 + 2, 2+1+ 1, and 1+1+1+1. Suppose P is a continuous function whose values at positive integers are known. Use Figure 1 to estimate the rate of change of P at n = 12. P(n) 160- 120- 80 40 8. 10 12 14 FIGURE 1 Graph of P.

3. For a positive integer n, let P(n) be the number of partitions of n, that is, the number of ways of writing n as a sum of one or more positive integers. For example, P(4) = 5 since the number 4 can be partitioned in five different ways: 4, 3+ 1, 2 + 2, 2+1+ 1, and 1+1+1+1. Suppose P is a continuous function whose values at positive integers are known. Use Figure 1 to estimate the rate of change of P at n = 12. P(n) 160- 120- 80 40 8. 10 12 14 FIGURE 1 Graph of P.

Calculus: Early Transcendentals
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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3. For a positive integer n, let P(n) be the number of partitions of n, that is, the number of ways of writing n as a sum of one or more positive integers. For example, P(4) = 5 since the number 4 can be partitioned in five different ways: 4, 3+ 1, 2 + 2, 2+1+ 1, and 1+1+1+1. Suppose P is a continuous function whose values at positive integers are known. Use Figure 1 to estimate the rate of change of P at n = 12. P(n) 160- 120- 80 40 8. 10 12 14 FIGURE 1 Graph of P.
Transcribed Image Text:3. For a positive integer n, let P(n) be the number of partitions of n, that is, the number of ways of writing n as a sum of one or more positive integers. For example, P(4) = 5 since the number 4 can be partitioned in five different ways: 4, 3+ 1, 2 + 2, 2+1+ 1, and 1+1+1+1. Suppose P is a continuous function whose values at positive integers are known. Use Figure 1 to estimate the rate of change of P at n = 12. P(n) 160- 120- 80 40 8. 10 12 14 FIGURE 1 Graph of P.
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