Let u represent , v represent , and w represent . Solve first for u, v, and w. Then solve the system of equations. +  +  = - 

src="https://sciemce.com/media/4/ppg__tttt0516191133__f1q13g7.jpg" style="vertical-align: -17.0px;" /> -  -  = -  +  +  = - 



A. (1, 5, -5)
B.
C. (-1, -5, -5)
D. (-1, -5, 5)

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Answer: C

Mathematics

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

Solve the problem.John owns a hotdog stand. His profit is represented by the equation  with P being profits and x the number of hotdogs sold. What is the most he can earn?

A. $103 B. $75 C. $49 D. $117

Find

by direct substitution.
What will be an ideal response?

Simplify. Assume that each variable is nonnegative.

A.
B. 7
C. 7
D.