Find the average value of the function over the region.f(r, ?, z) = r2 over the region bounded by the cylinder r = 3 between the planes z = -5 and z = 5

A. 2
B.
C. ?
D.


Answer: D

Mathematics

You might also like to view...

Find the area of the specified region.Shared by the cardioids r = 9(1 + sin ?) and r = 9(1 - sin ?)

A. 1681
B. (3? + 8)
C. (5? + 8)
D. (3? - 8)

Mathematics

Sketch the graph of the function and find the domain and range.f(x) = (x - 4)2 + 2

A.

domain: {x|-? < x < ?}
range: {y|y ? 4}
B.
 
domain: {x|-? < x < ?}
range: {y|y ? -4}
C.

domain: {x|-? < x < ?}
range: {y|y ? 2}
D.

domain: {x|-? < x < ?}
range: {y|y ? 2}

Mathematics

Solve the problem.The table lists the average annual cost (in dollars) of tuition and fees at a certain 2-year college for selected years, where year 1 represents 1992, year 3 represents 1994, and so on. Use the ordered pairs (3, 1149) and (9, 1302) to find the equation of a line that approximates the data. (If necessary, round the slope to the nearest hundredth and the y-intercept to the nearest whole number.) 

A. y = 25.5x + 996 B. y = 25.5x + 1073 C. y = 25.5x - 1226 D. y = 51x + 996

Mathematics

Arrange the group of numbers in order, from least to greatest.5.13, 4.79, 4.97, 5.31

A. 5.31, 5.13, 4.97, 4.79 B. 4.97, 4.79, 5.31, 5.13 C. 4.79, 4.97, 5.13, 5.31 D. 4.79, 5.13, 4.97, 5.31

Mathematics