1. [12.6: Cylinders and Quadric Surfaces] For each part, first decide which of the three meth-...

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1. [12.6: Cylinders and Quadric Surfaces] For each part, first decide which of the three meth- ods we discussed in the lecture and problem sections will most easily enable you to sketch the surface. These are the generalized cylinder method, the surface of revolution method, and the method of slices (traces) for general quadric surfaces. Then apply that method to sketch the surface. You will be graded on how well you demonstrate your understanding of how to apply the method rather than for how perfect your final sketch looks. (a) z² = y² + 4 (b) z²x² - y² = 4 Hint: This is just PS #4, question 2!! (c) ² + ² = 1 + Hint: Choose several slices that are ellipses and only two that are hyperbolae. 1. [12.6: Cylinders and Quadric Surfaces] For each part, first decide which of the three meth- ods we discussed in the lecture and problem sections will most easily enable you to sketch the surface. These are the generalized cylinder method, the surface of revolution method, and the method of slices (traces) for general quadric surfaces. Then apply that method to sketch the surface. You will be graded on how well you demonstrate your understanding of how to apply the method rather than for how perfect your final sketch looks. (a) z² = y² + 4 (b) z²x² - y² = 4 Hint: This is just PS #4, question 2!! (c) ² + ² = 1 + Hint: Choose several slices that are ellipses and only two that are hyperbolae.