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?
= 0
B. ?f??g = 0
C. ?g = 0
D. f approaches a local extremum as ? ? 0.
Answer: A
Mathematics
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Find the Jacobian of the transformation.
x = 7?sin?, y = 6?cos?
Mathematics
For the given Cartesian equation, write an equivalent polar equation.x2 - y2 = 4
A. r2 cos 2? = 4 B. cos2 ? - sin2 ? = 4r C. r cos 2? = 4 D. cos2 ? - sin2 ? = 4
Mathematics
Evaluate.
÷ 
? 
A. - 28
B. - 
C. 1
D. - 
Mathematics
Evaluate by using scientific notation and the laws of exponents. Leave you answer in scientific notation.
A. 1.0 × 10-1 B. 1.0 × 101 C. 1.0 × 2 D. 1.0
Mathematics