MATH237 Study Guide - Quiz Guide: Inta

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Submit your work by 9:30am (or as speci ed by your instructor) on friday, september. 25th in the correct drop slot across from mc 4066/4067. Late assignments or those put into the wrong drop slot will not be marked and will receive a grade of zero. Level curves are de ned by f (x, y) = k, where k is a constant. Describe/draw/visualize the surface z = f (x, y) in 3-space: f (x, y) = 4x2 y2, f (x, y) = x2 + y2 4(x + y) c)f (x, y) = y2. T (x, y) = 2 ln(x2 + y2) + 3. Draw the annulus in the xy-plane, and sketch several isotherms (curves of constant temperature). 2|x|+|y| continued c) lim (x,y) (0,0) d) lim (x,y) (0,0) x3y2 x4+y6 x5y2 x10+y4: determine the values of p for which the following limit does or does not exist:

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