Identify where f is increasing or where f is decreasing, as indicated. Round your answer to two decimal places when appropriate.f(x) = -3x2 + 12x; increasing
A. (-?, 2]
B. [-2, ?)
C. (-?, -2]
D. [2, ?)
Answer: A
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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = 8i + y3z7j - y7z3k , S is the rectangular surface x = 0, -7 ? y ? 7, and -10 ? z ? 10, direction i
A. 2,240 B. 280 C. 1,120 D. 0
Solve the problem.The number of Hamilton circuits in the complete graph with 12 vertices is
A. more than a billion. B. in the hundreds of thousands. C. in the millions. D. in the hundreds. E. none of these
Solve using a system of three linear equations.A real estate investor is examining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 72° more than the measure of the third angle. If the measure of the third angle is subtracted from the measure of the second angle, the result is twice the measure of the first angle. Find the measure of each angle. (Note: The sum of the angles of a triangle is 180°.)
A. First angle is 24°, second angle is 102°, third angle is 54° B. First angle is 22°, second angle is 102°, third angle is 52° C. First angle is 28°, second angle is 104°, third angle is 48° D. First angle is 30°, second angle is 98°, third angle is 52°
Determine two pairs of polar coordinates for the point with 0° ? ? < 360°.(-2
, -2
)
A. (4, 135°), (-4, 225°)
B. (2
, 225°), (-2
, 45°)
C. (2
, 135°), (-2
, 225°)
D. (4, 225°), (-4, 45°)