Find the average value of the function over the region.f(r, ?, z) = r over the region bounded by the cylinder r = 4 between the planes z = -8 and z = 8
A. 4
B. 6
C. 
?
D. 
Answer: D
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Provide an appropriate response.If two nonvertical lines never intersect, what do we know about their slopes?
Fill in the blank(s) with the appropriate word(s).
Solve.Elaine has a grassy patch of land on her farm that is a rectangle measuring 20 feet by 60 feet. So her goat can eat grass while Elaine is busy with other farm work, she drove two posts into the ground and fastened a rope to each post, passing the rope through a metal ring on the goat's collar. When the goat pulls on the rope while walking, its path is an ellipse. (See the figure.) If the goat can just reach all four sides of the rectangular patch, find the equation of the elliptical path.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Complete the table.
A. 
B. 
C. 
D. 
Find a bound on the real zeros of the polynomial function.f(x) = x4 - 7x2 - 18
A. -18 and 18 B. -25 and 25 C. -26 and 26 D. -19 and 19