1. A Pringles chip can be thought of mathematically in two ways: a. You can consider...

  

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1. A Pringles chip can be thought of mathematically in two ways: a. You can consider it as a thin elliptic slice of potato dough that is afterwards molded and fried. If the slice can be represented by a2+2y2 <4, set up the integral that gives the mass of the Pringle if it has a constant density of 0.12. b. Alternatively, you can look at a Pringle as the section of a hyperbolic paraboloid that lies inside an elliptic cylinder. If the chip can be represented by the section of the surface 4x = 2-y that lies inside the cylinder 2+2y2 = 4, set up the integral that gives the surface area of a Pringle. Express your final answers in polar form. 1. A Pringles chip can be thought of mathematically in two ways: a. You can consider it as a thin elliptic slice of potato dough that is afterwards molded and fried. If the slice can be represented by a2+2y2 <4, set up the integral that gives the mass of the Pringle if it has a constant density of 0.12. b. Alternatively, you can look at a Pringle as the section of a hyperbolic paraboloid that lies inside an elliptic cylinder. If the chip can be represented by the section of the surface 4x = 2-y that lies inside the cylinder 2+2y2 = 4, set up the integral that gives the surface area of a Pringle. Express your final answers in polar form.