Locate and classify all critical points for the given function.f(x,y) = x3 - 5xy + y3Only find the critical points for this function.Do not test for maximum or minimum.

A. (0, 0)
B.
C. (0, 0) and 
D. There are no critical points.


Answer: C

Mathematics

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Find the limit of the sequence if it converges; otherwise indicate divergence.an = (-1)n 

A. 4 B. 0 C. ±4 D. Diverges

Mathematics

Provide an appropriate response.Solve the equation by writing the equation as a function and using a graphing calculator: 5(x - 2) = 6(x - 1)

Fill in the blank(s) with the appropriate word(s).

Mathematics

Determine whether the series is convergent or divergent.

Mathematics

Use regression to find a quadratic function that best fits the data. Give results to the nearest hundredth.

A. f(x) = -0.7803 + 98.39x - 419.89 B. f(x) = -4.66x2 - 45.67x + 345.67 C. f(x) = -0.54x2 + 60.05x + 912.48 D. f(x) = 0.54x2 + 60.05x + 912.48

Mathematics