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

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

Mathematics

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Construct a truth table for the statement.~(~(q ? r))

A.

TTF
T F F
F T F
F F T
B.
TTT
T F T
F T F
F F F
C.
TFT
F T F
D.
TTT
T F T
F T T
F F F

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Solve the formula for the specified variable.I =   for n

A. n = 
B. n = 
C. n = 
D. n = IR(Ir - E)

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A small country consists of four states (State 1, State 2, State 3, and State 4). The total population of the country is 200,000. The standard quotas are q1 = 64.8, q2 = 89.9, q3 = 39.6, and q4 = 5.7 respectively.Which of the following numbers can be used as a modified divisor under Webster's method?

A. 1000 B. 1004 C. 990 D. 1001 E. none of these

Mathematics

Graph the system of inequalities.2x + y ? 4 y - 1 ? 0

A.

B.

C.

D.

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