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 = t ; Path 2: x = 0, y = t
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Use graphical methods to solve the linear programming problem.3x + 2y ? 6-2x + 4y ? 8x ? 0y ? 0Maximize P = 2x + 5y 
A. Maximum of 19 when x = 2 and y = 3
B. Maximum of 
when x = 
and y = 
C. Maximum of 
when x = 
and y = 2
D. Maximum of 10 when x = 0 and y = 2
Find all the complex roots. Write the answer in the indicated form.The complex cube roots of 125(cos 273° + i sin 273°) (polar form)
A. -5(cos 91° + i sin 91°), 5(cos 211° + i sin 211°), -5(cos 331° + i sin 331°) B. 5(cos 91° + i sin 91°), 5(cos 131° + i sin 131°), 5(cos 171° + i sin 171°) C. -5(cos 91° + i sin 91°), 5(cos 131° + i sin 131°), -5(cos 171° + i sin 171°) D. 5(cos 91° + i sin 91°), 5(cos211° + i sin 211°), 5(cos 331° + i sin 331°)
Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?
A. $300,000 B. $360,000 C. $60,000 D. $218,400
Use the indicated property to provide a new expression equal to the given expression. Simplify, if possible.10 + (-10); inverse
A. 100 B. -20 C. 0 D. 20