Solve the problem.Write an iterated triple integral in the order  for the volume of the tetrahedron cut from the first octant by the plane .

A.
B.
C.
D.


Answer: B

Mathematics

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Express as a sum, difference, and product of logarithms, without using exponents.logb 

A. logb x2 - logb y7 - logb z9
B. 2logb x - 7logb y - 9logb z
C. logb x - logb y - 3logb z
D. logb x - logb y + 3logb z

Mathematics

Match the function with its graph.1) y = tan x2) y = cot x3) y = -tan x 4) y = -cot xA)B) C)D) 

A. 1A, 2B, 3C, 4D B. 1B, 2D, 3C, 4A C. 1A, 2D, 3C, 4B D. 1C, 2A, 3B, 4D

Mathematics

The position of a car is given by the values in the following table.


Find the average velocity for the time period beginning when t = 2 and lasting 2 seconds.

a. 46.1 ft/s
b. 31.9 ft/s
c. 33.5 ft/s
d. 33.8 ft/s
e. 33.2 ft/s

Mathematics

Give a rule for the piecewise-defined function. Then give the domain and range.

A. f(x) = ; Domain: (-?, ?), Range: {-3, 3}

B. f(x) = ; Domain: {-3, 3}, Range: (-?, ?)

C. f(x) = ; Domain: (-?, ?), Range: {-3, 3}

D. f(x) = ; Domain: {-3, 3}, Range: (-?, ?)

Mathematics