Provide an appropriate response.For the space curve x = t, y = t2, z = t , find the points at which the function f(x, y) takes on extreme values if fx = 9, fy =
, and fz = -60t.
A. t = -3 and t = 10
B. t = 0
C. t = - and t = 5
D. t = -6 and t = 20
Answer: A
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Solve the problem.A polygon with n sides has D diagonals, where D is given by the function D(n) = . Find the number of sides n if 77 ? D ? 135.
A. The number of sides is between 13 and 19, inclusive. B. The number of sides is between 12 and 19, inclusive. C. The number of sides is between 14 and 18, inclusive. D. The number of sides is between 15 and 18, inclusive.
Solve the problem.If an earthquake has an intensity of I, then its magnitude, as computed by the Richter Scale, is given by where I0 is the intensity of a small, measurable earthquake. (Consider
for this question.) If one earthquake has a magnitude
on the Richter scale and a second earthquake has a magnitude
on the Richter scale,
how many times more intense (to the nearest whole number) is the second earthquake than the first? A. 316,228 B. 681 C. 316,227,766,017 D. 2
Provide an appropriate response.There are 13 people on a committee, and 5 of them are women. What is the ratio of the number of women to the number of men on the committee?
A.
B.
C.
D.
Evaluate the determinant.
A. -320 B. 320 C. -24 D. -56