Select the correct graph of the function:

a.

b.

c.

d.


b.

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

Mathematics

Provide an appropriate response.True or false? j = -1

A. False B. True

Mathematics

Evaluate the indicated power of i.i40

A. -i B. 1 C. i D. -1

Mathematics

Graph the parabola and label the vertex. Find the x-intercept.x = y2 + 3

A. vertex (3, 0), x-intercept (3, 0)

B. vertex (- 3, 0), x-intercept (- 3, 0)

C. vertex (3, 0), x-intercept (3, 0)

D. vertex (- 3, 0), x-intercept (- 3, 0)

Mathematics