Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).f(x, y) = 

What will be an ideal response?


Answers will vary. One possibility is Path 1: x = 0, y = t ; Path 2: x = - t2, y = t

Mathematics

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Determine convergence or divergence of the series.

A. Diverges B. Converges

Mathematics

The figure shows the velocity v or position s of a body moving along a coordinate line as a function of time t . Use the figure to answer the question. v (ft/sec)When is the body's acceleration equal to zero?

A. 0 < t < 2, 6 < t < 7 B. 2 < t < 3, 5 < t < 6 C. t = 2, t = 3, t = 5, t = 6 D. t = 0, t = 4, t = 7

Mathematics

Solve the problem.The following table shows the population (in thousands) of Anytown, USA. YEAR POPULATION   1950 120   1960 100   1970  90   1980 105   1990 130   2000 160Use a graphing calculator to fit a quadratic function f(x) to the data. Use this equation to predict the population in the year 2010.

A. 190,000 B. 2,093,000 C. 213,000 D. 195,000

Mathematics

Solve the problem.A building contractor finds that  can of pipe joint compound is needed to plumb each new home. How many homes can be plumbed with 24 cans of compound?

A. 60 homes
B. 24 homes
C. 30 homes
D. 9 homes

Mathematics