Unformatted text preview: and hyperbolas, the quadratic curves; in fact, these are the basic models for equations given by quadratic polynomials in three coordinates, and are known collectively as the quadric surfaces . Exercises for § 3.4 Practice problems: 1. For each curve de±ned implicitly by the given equation, decide at each given point whether one can solve locally for (a) y = φ ( x ), (b) x = ψ ( y ), and ±nd the derivative of the function if it exists: (a) x 3 + 2 xy + y 3 = − 2, at (1 , − 1) and at (2 , − 6). (b) ( x − y ) e xy = 1, at (1 , 0) and at (0 , − 1). (c) x 2 y + x 3 y 2 = 0, at (1 , − 1) and at (0 , 1)...
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 Fall '08
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 Calculus, Quadratic equation, Conic section

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