Solve the problem.Find the average value of f(x, y, z) = 3x + 8y + 5 over the rectangular solid in the first octant bounded by the coordinate planes and the planes  .

A.
B. 140
C. 104
D. 68


Answer: D

Mathematics

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Solve the problem.From a balloon 1014 feet high, the angle of depression to the ranger headquarters is 61°42'. How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?

A. 551 ft B. 546 ft C. 536 ft D. 541 ft

Mathematics

Find the center, foci, and vertices of the ellipse. +   = 1

A. center at (0, 0)
foci at (-6, 0) and (6, 0)
vertices at (-36, 0), (36, 0)
B. center at (0, 0)
foci at (0, -4) and (0, 4)
vertices at (0, -16), (0, 16)
C. center at (0, 0)
foci at (- 2, 0) and (2, 0)
vertices at (-6, 0), (6, 0)
D. center at (0, 0)
foci at (0, - 2) and (0, 2)
vertices at (0, -6), (0, 6)

Mathematics

Use the premises to give a conclusion that yields a valid argument.It is either day or night. If it is day, then the squirrels are scurrying. It is not night.

A. The squirrels are not scurrying. B. Squirrels do not scurry during the day. C. The squirrels are scurrying. D. Squirrels do not scurry at night.

Mathematics

Graph the function using transformations.f(x) =   + 1

A.

B.

C.

D.

Mathematics