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5. Suppose we wanted to know what the graph of the surface a:2 + 2y2 22 = 1 looks like (without using a computer). In

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5. Suppose we wanted to know what the graph of the surface a:2 + 2y2 22 = 1 looks like (without using a computer). In a few sentences, write an explanation for how you could use traces to get a rough picture of the graph. (Hint: A \"Complete\" solution will likely need to detail at least three specic traces. You don't need to draw anything here, but you can if you think it helps your explanation). 6. (1 Point) Sketch the surface in R3 dened by the equation 22 = y2 1. Explain (in a complete sentence or two} why this surface may also be referred to as a \"hyperbolic cylinder.\" (Hint: Look back at our discussion of the word \"cylinder\" in 12.2}

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