**Unformatted text preview: **Unit Tangent Vector ( ) ( ) v t v t r r . Arc Length ( ) t t v t dt P r Multivariable functions and partial derivatives Vector-Valued functions- ( ) ( ) ( ) ( ) F t f t i g t j h t k = + + r r r Domain : set of points (x,y,z) in which f is well defined Range : set of values of f . Level curves : set f(x,y) = function equal to constant (ex.: 3 = x 2 + y 4 ). Same for level curves, except with 3-variables. Limits : Remember to substitute y = mx, or y = mx+b (under y = mx+b form), or y = mx n to find whether limit does not exist. Linearization : ( , ) ( , )( ) ( , )( ) x y L f x y f x y x x f x y y y = +-+-...

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- Fall '06
- PANTANO
- Math, Derivative, Multivariable Calculus, Parallelepiped, xPQ, uuu PQ PQ