Solve the problem.In a complete graph with 16 vertices (A through P), the total number of Hamilton circuits (including mirror-image circuits) that start at vertex A is
A. 16!.
B. 14!.
C. 15!.
D. 17!.
E. none of these
Answer: C
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Find the gradient field of the function.f(x, y, z) = x8y10 +
A. ?f = 8x7y10i + 10x8y9j - k
B. ?f = i + 10x8y9j -
k
C. ?f = (8x7 + 5x4)i + 10y9j - k
D. ?f = (8x7 + 5x4)i + 10y9j + k
Provide an appropriate response.Write a polynomial for the area of the shaded region; then factor completely.
A. 3(x - 4)(x + 4) B. 4(x - 3)(x + 3) C. 12(x - 3)(x + 3) D. 12(x - 4)(x + 4)
As part of a study, 800 college football players are randomly chosen and their weights taken. The distribution of the weights is approximately normal. The average weight is 235 pounds and the standard deviation is 25 pounds.Of the 800 players approximately how many weighed 210 pounds or less?
A. 128 B. 200 C. 64 D. 544 E. none of these
Find the surface area of the rectangular solid or cube.
A. 140 m2 B. 70 m2 C. 118 m2 D. 59 m2