Tuesday

March 3, 2015

March 3, 2015

Posted by **Z32** on Monday, June 22, 2009 at 12:59am.

- Calculus -
**drwls**, Monday, June 22, 2009 at 6:17amWrite equations for:

(1) area of the window in terms of the semicircle diameter (x) and height (y) of the rectangle.

(2) Perimeter = constant = 22 ft

A = (pi/2)*x^2 + x*y= (pi +1)x + 2y

P = (pi+1)x + 2y = 22

Eliminate the variable y by making the substitution

y = 11 - [(pi+1)/2]x into the first equation for (A), making it an equation in one variable, x.

Solve dA/dx = 0 for the optimum x.

**Answer this Question**

**Related Questions**

Calculus - A Norman window has the shape of a semicircle atop a rectangle so ...

Calculus - A Norman window has the shape of a semicircle atop a rectangle so ...

Calculus - A Norman window has the shape of a semicircle atop a rectangle so ...

Calculus - A Norman window has the shape of a semicircle atop a rectangle so ...

Calculus - A Norman window has the shape of a semicircle atop a rectangle so ...

Math (: - My answer doesn't make sense. It's too big. A Norman window has the ...

Calculus - A Norman window has the shape of a rectangle surmounted by a ...

Calculus - A Norman window has the shape of a rectangle surmounted by a ...

calculus - A Norman window has the shape of a semicircle atop a rectangle so ...

Math - A Norman window has the shape of a rectangle surmounted by a semicircle...