Find the gradient field F of the function f.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) - z cos(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) + z cos(x + y + z))k
Answer: D
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Solve.A local pond can only hold up to 36 geese. Seven geese are introduced into the pond. Assume that the rate of growth of the population is = (0.0012)(36 - P)Pwhere t is time in weeks.How long will it take for the goose population to be 10?
A. 10.78 weeks B. 55.83 weeks C. 3.25 weeks D. 49.40 weeks
Solve the equation for x and y.-8 + yj = 3x - 7j
A. x = - , y = -7
B. x = - , y = 7
C. x = - , y = 7
D. x = - , y = -7
Round to the given value. $262.60dollar
A. $262.6 B. $262 C. $263 D. $260
Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
A.
B.
C.
D.