Calc3_Surfaces_and_Contours

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Objectives:

Required Information:

Solved Example 1:

Solution:

(a) Graph and contour diagram of z = 6 + 2x + 3y
(b) Graph and contour diagram of z = -x2-y2
(c) Graph and contour diagram of z = exp( -x2-y2)
(d) Graph and contour diagram of z= sqrt(x2+y2);

Required Information:

Solved Example 2:

Solution:

(a) The graph and contour diagram of
xy/(x2+y2); for nonzero x y.
(b) Continuity of f(0, y) and f(x, 0):
(c) Continuity of f(x, y):

Problem 1:

Problem 2:

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