Find the number of subsets of the set.{math, English, history, science, art}

A. 16
B. 28
C. 24
D. 32


Answer: D

Mathematics

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Answer the question.Consider a function f(x, y, z), where the independent variables are constrained to lie on the curve (t) = x(t)i + y(t)j + z(t)k. What mathematical fact forms the basis for the method of Lagrange multipliers?

A. f approaches a local extremum as ? ? 0.
B. ?f? = 0
C. ?f??g = 0
D. ?g = 0

Mathematics

Find the distance from (-10,2,-8) to the xy-planes.

a. 8 b. 16 c. 10 d. 2 e. 4

Mathematics

Evaluate the expression, if possible.811/4

A. 12 B. 36 C. 3 D. 243

Mathematics

The graph of the derivative (x) of a continuous function f is shown. On what intervals is f decreasing?

Mathematics