This preview shows page 1. Sign up to view the full content.
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 dened implicitly by the given equation, decide at each given point whether one can solve locally for (a) y = ( x ), (b) x = ( 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)...
View Full Document
- Fall '08