Simplify.(6 - 4
)2
A. 100 - 48
B. 68
C. 100
D. 68 - 48
Answer: D
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Find the equation of the tangent plane (or tangent "hyperplane" for a function of three variables) at the given point p.f(x, y, z) = 3x2 - 3y2 + yz2, p = (-1, 1, -1)
A. w = -6x - 6y - 2z - 2 B. w = -6x - 5y - 2z + 4 C. w = -6x - 5y - 2z - 2 D. w = -6x - 5y + 2z - 2
Use the Huntington-Hill apportionment principle to decide who is most deserving of an additional representative. Subdivision A, with 1600 residents, has 11 representatives in the City Hall, while Subdivision B, with 2700 residents, has 17 representatives, and Subdivision C, with 950 residents, has 7 representatives.
A. Subdivision A B. Subdivision B C. Subdivision C
Test the vector field F to determine if it is conservative.F = 7x6y7z7i + 7x7y6z7j + 7x7y7z6k
A. Not conservative B. Conservative
Use the Gauss-Jordan method to solve the system of equations. x + 3y + 2z = 11 4y + 9z = -12x + 7y + 11z = -11
A. (1, 6, -4) B. (0, 3, 1) C. (7, -1, -1) D. No solution