Surface Area The roof over the stage of an open air theater ata theme park is modeled
Chapter 14, Problem 48(choose chapter or problem)
Surface Area The roof over the stage of an open air theater at a theme park is modeled by
\(f(x,\ y)=25[1+e^{-(x^2+y^2)/1000} \cos^2(\frac{x^2 +y^2}{1000})]\)
where the stage is a semicircle bounded by the graphs of \(y=\sqrt{50^2-x^2}\) and y = 0.
(a) Use a computer algebra system to graph the surface.
(b) Use a computer algebra system to approximate the number of square feet of roofing required to cover the surface.
Text Transcription:
f(x, y)=25[1+e^-(x^2 +y^2)/1000 cos^2 (x^2 +y^2 /1000)]
y=sqrt50^2 -x^2
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