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
Answer: B
Mathematics
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Find the sum of the given infinite geometric series.35 - 5 + 
- . . .
A. 
B. 
C. 
D. 
Mathematics
Find the exact value of the trigonometric expression without the use of a calculator.If sin ? = - 
, 
< ? < 2? and cos ? = - 
, ? < ? < 
, find the exact value of sin (? - ?).
A. 
B. 
C. 
D. 
Mathematics
Find the exact value of the indicated trigonometric function of ?.sin ? = 
, sec ? < 0Find cos ? and tan ?.
A. cos ? = - 
, tan ? = - 
B. cos ? = - 
, tan ? = - 
C. cos ? = - 
, tan ? = 
D. cos ? = 
, tan ? = 
Mathematics
Match the graph to the function listed whose graph most resembles the one given.
A. reciprocal function B. absolute value function C. square function D. linear function
Mathematics