1. Find 2 numbers whose sum is 23 and whose product is a maximum. 2. Find the dimension of a rectangle whose perimeter is 500m and whose area is as large as possible. 3. A farmer wants to fence a rectangular field with an area of 1.5 million ft². Then he will divide it in half and fence it where it will be parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? 4. What is the altitude of the largest circular cone that may be obtained from a sphere of a radius 6 inches? 5. One side of a triangle is 10 m long and the opposite angle is 40°. Find the other angles so that the area will be a maximum.
1. Find 2 numbers whose sum is 23 and whose product is a maximum. 2. Find the dimension of a rectangle whose perimeter is 500m and whose area is as large as possible. 3. A farmer wants to fence a rectangular field with an area of 1.5 million ft². Then he will divide it in half and fence it where it will be parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? 4. What is the altitude of the largest circular cone that may be obtained from a sphere of a radius 6 inches? 5. One side of a triangle is 10 m long and the opposite angle is 40°. Find the other angles so that the area will be a maximum.
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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Transcribed Image Text:1. Find 2 numbers whose sum is 23 and whose product is a maximum.
2. Find the dimension of a rectangle whose perimeter is 500m and whose area is as
large as possible.
3.
A farmer wants to fence a rectangular field with an area of 1.5 million ft². Then he
will divide it in half and fence it where it will be parallel to one of the sides of the
rectangle. How can he do this so as to minimize the cost of the fence?
4.
What is the altitude of the largest circular cone that may be obtained from a sphere
of a radius 6 inches?
5. One side of a triangle is 10 m long and the opposite angle is 40°. Find the other
angles so that the area will be a maximum.
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