Find the average value of 
over the given region.
+ z2 over the rectangular solid in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 
B. 
C. 
D. 
Answer: D
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Solve the problem.Suppose that the radius r and volume V = 
?r3 of a sphere are differentiable functions of t. Write an equation that relates dV/dt to dr/dt.
A. 
= 4?r2
B. 
= 
?r2
C. 
= 3r2
D. 
= 4?
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the 
. y = x2 + 1, y = 4x + 1
A. 
?
B. 
?
C. 64?
D. 
?
Express the terminating decimal number as a quotient of two integers.1.76
A. 
B. 
C. 
D. 
Solve the problem.The inequality |T - 35.3| ? 9.7 describes the range of monthly average temperatures T in degrees Fahrenheit at a City X. (i) Solve the inequality. (ii) If the high and low monthly average temperatures satisfy equality, interpret the inequality.
A. 25.6 ? T ? 45; The monthly averages are always within 
B. -45 ? T ? 54.7; The monthly averages are always within 
C. 31.2 ? T ? 39.4; The monthly averages are always within 
D. -39.4 ? T ? 43.5; The monthly averages are always within 