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 = t, y = 0 ; Path 2: x = 0, y = t

Mathematics

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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -7y3i + 7x3j + 6z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 

A. 336? B. -336? C. - 168? D. 168?

Mathematics

Find all natural-number values of b that make the trinomial factorable.x2 + 8x + b

A. 4, 5, 6, 7 B. 7, 12, 15 C. 7, 12 D. 7, 12, 15, 16

Mathematics

Solve the problem.Bob owns a watch repair shop. He has found that the cost of operating his shop is given by  where x is the number of watches repaired. How many watches must he repair to have the lowest cost?

A. 40 watches B. 47 watches C. 33 watches D. 23 watches

Mathematics

Solve the equation.(x + 2)(x - 9) = -24

A. 9, -26 B. -2, 9 C. -15, -2 D. 6, 1

Mathematics