?Graph the solid that lies between the surfaces \(z=e^{-x^{2}} \cos

Chapter 13, Problem 52

(choose chapter or problem)

Graph the solid that lies between the surfaces \(z=e^{-x^{2}} \cos \left(x^{2}+y^{2}\right)\) and \(z=2-x^{2}-y^{2}\) for \(|x| \leqslant 1,|y| \leqslant 1\). Use a computer algebra system to approximate the volume of this solid correct to four decimal places.

Equation Transcription:

⩽ 1,  ⩽ 1

Text Transcription:

z = e^{x}^{2} cos (x^{2} + y^{2}

z = 2 - x^{2} - y^{2}

|x| leqslant 1, |y| leqslant 1

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