1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 192 sq. in. Find the dimensions of the box when its volume is a maximum. 2. Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point (9, 0 ). 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilateral triangle and the other into a circle. How should the wire be cut so the sum of the enclosed areas is a minimum. 4. . Find the radius and central angle in radians of the circular sector of maximum area having a perimeter of 16 cm. 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.
1. A closed box, with a rectangular base, whose length is twice its width, is to have a surface of 192 sq. in. Find the dimensions of the box when its volume is a maximum. 2. Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point (9, 0 ). 3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an equilateral triangle and the other into a circle. How should the wire be cut so the sum of the enclosed areas is a minimum. 4. . Find the radius and central angle in radians of the circular sector of maximum area having a perimeter of 16 cm. 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.
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. A closed box, with a rectangular base, whose length is twice its width, is to have a
surface of 192 sq. in. Find the dimensions of the box when its volume is a maximum.
2. Find the coordinates of the point/s on the curve y = 2x? which are closest to the point
(9,0 ).
3. A piece of wire 36 in. is cut into two parts, one of which is bent into the shape of an
equilateral triangle and the other into a circle. How should the wire be cut so the sum
of the enclosed areas is a minimum.
4. . Find the radius and central angle in radians of the circular sector of maximum area
having a perimeter of 16 cm.
5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.
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