Provide an appropriate response.Determine all of the critical points of f(x, y) = x3 + 3x2 - 9x + y3 - 12y. Also use the second derivative test to determine, if possible, whether a maximum, minimum or saddle point occurs at each of these critical points.
What will be an ideal response?
(-3, -2) relative maximum
(-3, 2) saddle point
(1, -2) saddle point
(1, 2) relative minimum
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Find the standard deviation for each data set. Round to one more place than the data.15, 42, 53, 7, 9, 12, 14, 28, 47
A. 16.6 B. 17.8 C. 15.8 D. 29.1
Solve the problem.A model airplane takes 2.3 hours to construct and 13.8 hours to finish. Determine the ratio of construction time to finish time in simplest form.
A. 6 to 1 B. 1 to 7 C. 1 to 6 D. 1 to 5
Solve using the elimination method. Use a graphing calculator to check your answer. 5x + 54 = -7y 3x - 5y = 32
A. (-1, -6) B. (-1, -7) C. (-2, -6) D. No solution
Determine whether sets A and B are equal but not equivalent, equivalent but not equal, both equal and equivalent, or neither equal nor equivalent.
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a. equivalent but not equal
b. both equal and equivalent
c. equal but not equivalent
d. neither equal nor equivalent