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# Page 1

29-38.

Determine the set of points at which the function is continuous.


















# Page 2

15-38.

Find the first partial derivatives of the function.


















# Page 3

51-56

Find all the second partial derivatives.

















Note: 71, 72, and 75 use subscript notation for partials; see “notation” in section 5 of the notes.













Note: Physically, this says a plane wave is a superposition of left and right traveling waves




# Page 4









# Page 5

1-6.

Find an equation of the tangent plane to the given surface at the specified point.













17-18.


Note: here “linear approximation” means the same as “tangent plane approximation” as defined in section 6 of the notes.








# Page 6

25-30.

Find the differential of the function.













# Page 7

1-6.



















7-12.














# Page 8





# Page 9

5-18.

Find the local maximum and minimum values and saddle point(s) of the function. ~~If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.~~























