Provide an appropriate response.If f(x0, y0) = -2 and the limit of f(x, y) exists as (x, y) approaches (x0, y0), what can you say about the continuity of  at the point  Give reasons for your answer.

What will be an ideal response?


The function is not necessarily continuous at (x0, y0). It is continuous only if 

Mathematics

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Add.(4x2 - xy - y2) + (x2 + 9xy + 7y2)

A. 3x2 - 10xy - 8y2 B. 5x2 + 8xy + 6y2 C. 4x2 + 9xy + 7y2 D. 5x2 + 10xy + 8y2

Mathematics

Solve the problem.A pick-up truck is fitted with new tires which have a diameter of 42 inches. How fast will the pick-up truck be moving when the wheels are rotating at 440 revolutions per minute? Express the answer in miles per hour rounded to the nearest whole number.

A. 55 mph B. 50 mph C. 27 mph D. 9 mph

Mathematics

Simplify. Assume that no radicands were formed by raising negative quantities to even powers.

A. 28xy
B. 2x2y
C. 2x4y2
D. 4x2y

Mathematics

Provide an appropriate response.What amount will be in an account after 1.5 years if $4,000 is invested at 5% compounded semiannually?

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

Mathematics