The table lists the values of the functions f and g and their derivatives at several points. Use the table to find the indicated derivative.Find Dx(g[f(x)]) at x = 2.

A. 4
B. -3
C. 9
D. -12


Answer: D

Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = x2 + y - ex+y

A.  = 1 - ex+y = - ex+y;   =  = -ex+y
B.  = 2 - ex+y = - ex+y;   =  = -ex+y
C.  = 2 + ex+y = ex+y;   =  = ex+y
D.  = 2 - y2ex+y = -x2ex+y;   =  = - y2ex+y

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Solve the system of equations using Cramer's rule. 3x + y = 7 6x + 4y = 4

A. (4, -4) B. (-5, -4) C. (-5, 4) D. (4, -5)

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Convert the units using unit fractions.56 qt =  gal

A. 56  B. 28 C. 112  D. 14 

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Write the indicated term of the binomial expansion.(3x - 2y)12; 9th term

A. -5,132,160x4y9 B. -5,132,160x8y4 C. 3,421,440x8y4 D. 10,264,320x4y8

Mathematics