Answer No. 2 only 1. A closed box, with a rectangular base, whose length is twice its width, is to have asurface 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 anequilateral triangle and the other into a circle. How should the wire be cut so the sumof the enclosed areas is a minimum.4. . Find the radius and central angle in radians of the circular sector of maximum areahaving a perimeter of 16 cm.5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.

We have to find the closet point to the point (9, 0)

Answered: Find the coordinates of the point/s on…

Math

Calculus

Find the coordinates of the point/s on the curve y = 2x? which are closest to the point (9,0).

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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Question

Answer No. 2 only

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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