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January 30, 2015

January 30, 2015

Posted by **Alexis** on Friday, April 25, 2008 at 4:55pm.

a.) express the area of the rectangle as a function of x.

b.) give the domain of the area

c.) epxress the perimeter as a function of x.

d.) give the domain of Q

PLEASE HELP IM SO LOST. and friday afternoon is my scheduled math homework day. (dont ask im psycho) please this is bother ing me like crazyy

- math (pre clac) -
**Damon**, Friday, April 25, 2008 at 5:39pma)

x^2 + y ^2 = 4

area = 4 |x y| (so it works in each quadrant)

y = sqrt(4-x^2)

area = 4 x sqrt(4-x^2)

b)

the area can be 0 (at x = 0 and x = 2)and it has a maximum at x = y = sqrt 2

to show that take derivative and set to zero

0 = -4 x^2/sqrt(4-x^2) +4 sqrt(4-x^2)

0 = -4x^2 + 16 - 4 x^2

8 x^2 = 16

x = sqrt 2

so domain of area is 0 to x = sqrt 2 where the area is 8

c)

L = 2 x + 2 y

= 2 x + 2 sqrt(4-x^2)

= 2 ( x + sqrt (4-x^2))

d)

Q goes from x = 0 to x = 2 in Quadrant 1

- math (pre clac) -
**Jordan**, Friday, April 25, 2008 at 9:31pmWhat do you mean?

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