Find the gradient field F of the function f.f(x, y, z) = z sin (x + y + z)

A. F = cos xi + cos yj + (sin z + z cos z)k
B. F = -cos xi - cos yj + (sin z - z cos z)k
C. F = -z cos(x + y + z)i - z cos(x + y +z)j + (sin(x + y + z) - zcos(x + y + z))k
D. F = z cos(x + y + z)i + z cos(x + y +z)j + (sin(x + y + z) + zcos(x + y + z))k


Answer: D

Mathematics

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Solve the given differential equation (where the function is subject to the given conditions) by using Laplace transforms.y" + 16y = 0, y = 0, y'  = 1

A. y =  cos 4t
B. y =  sin 4t
C. y = sin 4t
D. y = cos 4t

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A. 5300 B. 2540 C. 540 D. 520

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Determine if the pair of line segments or angles is congruent.Determine if the pair of segments is congruent. Use a ruler. 

A. Yes B. No

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Ohm's Law for the current I in a circuit with voltage E, resistance R, capacitance reactance XC, and inductive reactance XLis  Use this law to solve the problem.Find R if    and 

A.

1 + i

B.
 + i

C.
1 + i

D.  + i

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