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MATH226_SI_Week5

MATH226_SI_Week5 - Kevin Le Math 226 SI...

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Kevin Le Math 226 SI www-scf.usc.edu/~kevinle, www.usc.edu/si Week 5 §§11.2-11.5: Limits and Continuity, Partial Derivatives, Tangent Planes and Linear Approximations, Chain Rule §11.2: Limits and Continuity 1. Find the limit if it exists, or show that the limit does not exist. a) ( ) ( ) b) ( ) ( ) 2. Determine the set of points at which the function ( ) is continuous. §11.3: Partial Derivatives 3. Clairaut s Theorem states that if a function ( ) has continuous second partial derivatives at any given point, then . Verify that the conclusion of Clairaut s Theorem holds for . 4. Laplace s Equation can be written as . Determine whether the function

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MATH226_SI_Week5 - Kevin Le Math 226 SI...

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