Draw a sketch to represent the vector. Refer to the vectors pictured here.
b - c
A.
B.
Answer: A
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The double integral gives the mass of a lamina R. Determine the density ?, the mass, and the center of mass.
A. k; 2k;
B. k; 2k;
C. 2k; 2k;
D. k; 4k;
Find the flux of the vector field F across the surface S in the indicated direction.F = 3x2j - z5k; S is the portion of the parabolic cylinder y = 10x2 for which 0 ? z ? 4 and -1 ? x ? 1; direction is outward (away from the y-z plane)
A. 8 B. - 8 C. -24 D. 24
Solve the problem.Find the foci and asymptotes of the following hyperbola:x2 - = 1
A. Foci: (, 0), (-
, 0); Asymptotes: y = 3x, y = -3x
B. Foci: (, 0), (-
, 0); Asymptotes: y =
x, y = -
x
C. Foci: (3, 0), (-3, 0); Asymptotes: y = x, y = -
x
D. Foci: (0, ), (0, -
); Asymptotes: y = 3x, y = -3x
Find the equation of the line passing through the indicated two points. Write the equation in point-slope form.(7, 9) and (4, 1)
A. y + 9 = (x + 7) or y + 1 =
(x + 4)
B. y - 9 = (x - 7) or y - 1 =
(x - 4)
C. y - 9 = (x - 7) or y - 1 =
(x - 4)
D. y + 9 = (x + 7) or y + 1 =
(x + 4)