Find the volume of the indicated region.the region bounded by the paraboloid 
and the xy-plane
A. 18?
B. 27?
C. 243?
D. 162?
Answer: B
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Solve the problem.Suppose y = mx + b is a mathematical model for actual time as a function of estimated time, where y represents actual time and x represents estimated time and m and b are constants. If m = 3 and b = -4.6, what was the estimated time, x, if the actual elapsed time is 175.4 minutes?
A. 175.4 min B. 521.6 min C. 60 min D. 540 min
Use implicit differentiation to find dy/dx and d2y/dx2.2y - x + xy = 2
A. 
= 
; 
= 
B. 
= - 
; 
= 
C. 
= 
; 
= 
D. 
= - 
; 
= 
Simplify the given expression.274/3
A. 81 B. 2187 C. 729 D. 243
Use Bayes' rule to find the indicated probability.In one town, 8% of 18-29 year olds own a house, as do 33% of 30-50 year olds and 65% of those over 50. According to a recent census taken in the town, 25.1% of adults in the town are 18-29 years old, 38.6% are 30-50 years old, and 36.3% are over 50. What percentage of house-owners are 30-50 years old?
A. 12.7 B. 38.6 C. 33 D. 32.0