Solve the problem.How many three-digit counting numbers do not contain any of the digits 1, 5, 7, 8, or 9?
A. 125 numbers
B. 48 numbers
C. 64 numbers
D. 100 numbers
Answer: D
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) =
A. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at
B. Domain: all points in the xy-plane satisfying x2 + y2 ? 9; range: real numbers 0 ? z ? 3; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 3
C. Domain: all points in the xy-plane satisfying x2 + y2 = 9; range: real numbers 0 ? z ? 3; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 3
D. Domain: all points in the xy-plane; range: real numbers 0 ? z ? 3; level curves: circles with centers at (0, 0) and radii r, 0 < r ? 3
Solve the problem.Find a curve through the point (0, 3) whose length integral, 0 ? x ? 1, is L =
A. y = x B. y = x2 + 3 C. y = x2 D. y = 2x + 3
Use the Comparison Test to determine if the series converges or diverges.
A. diverges B. converges
Find the vertices and foci of the given ellipse.4x2 + 6y2 = 24
A. Vertices: (6, 0) and (-6, 0);
Foci: (2, 0) and (-2, 0)
B. Vertices: (0, ) and (0, -
);
Foci: (0, ) and (0, -
)
C. Vertices: (0, ) and (0, -
);
Foci: (0, ) and (0, -
)
D. Vertices: (, 0) and (-
, 0);
Foci: (, 0) and (-
, 0)