Saturday

August 23, 2014

August 23, 2014

Posted by **Andy G** on Wednesday, January 22, 2014 at 8:10pm.

a. draw a diagram that gives a visul representation of the problem.

b. show that the total area A on the page is A=2x(2x+7)/(x-4)

c. determine the domain of the fuction based on the physical constraints of the problem.

d. use a graphing utility to graph the area function and approximate the page size for which the least amount of paper will be used.

- Pre-Calc -
**Reiny**, Wednesday, January 22, 2014 at 9:16pmif the page is x by y

then the printable area = x-4 by y-4

so (x-4)(y-4) = 30

xy -4x - 4y + 16 = 30

xy - 4y = 4x + 14

y(x-4) = (4x+14)

y = (4x+14)/(x-4)

Total area = xy

= x(4x+14)/(x-4)

= 2x(2x+7)/(x-4) ---> that would be b)

c) clearly x> 4

d) your job with the graphing utility stuff

**Related Questions**

Math - A page of a certain book is 12 inches high and 8 inches wide. The top and...

Calculus - A retangular poster is to be made out of cardboard. The margins on ...

Calculus - 4. A printed page is to have a total area of 100 square inches. The ...

Math - A printed page is to have a total area of 100 square inches. The top and ...

Math - A printed page is to have a total area of 100 square inches. The top and ...

Math - A printed page is to have a total area of 100 square inches. The top and ...

math plz help - please can someone help me do this problem. atleast help me find...

Physics - Find the moment of inertia of the following "L" shape about the x-x ...

Math ms sue please help - The legs on a kitchen table are 29 7/8 inches high. ...

6th grade - The left and right - hand margins on a sheet of paper are both 1.25 ...