First Number, x Second Number Product, P 10 110 10 10(110 – 10) = 1000 20 110 – 20 20(110 – 20) = 1800

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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Find two positive numbers whose sum is 110 and whose product is a maximum. (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Use the table to guess the maximum product. (b) Write the product P as a function of x. (c) Use calculus to find the critical number of the function in part (b). Then find the two numbers. (d) Use a graphing utility to graph the function in part (b) and verify the solution from the graph.

First Number, x
Second Number
Product, P
10
110
10
10(110 – 10) = 1000
20
110 – 20
20(110 – 20) = 1800
Transcribed Image Text:First Number, x Second Number Product, P 10 110 10 10(110 – 10) = 1000 20 110 – 20 20(110 – 20) = 1800
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