Thursday

July 24, 2014

July 24, 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

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