Find the limit (if it exists).
?
?
A. 5
B. -8
C. -5
D. 0
E. does not exist
Answer: B
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Evaluate the spherical coordinate integral.
A. 
?(15? - 8)
B. 
?(15? - 8)
C. 
?(15? - 16)
D. 
?(15? - 16)
Solve the variation problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give 
when 
and 
What is the volume on this device when the temperature is 
and the pressure is 
alt="" style="vertical-align: -4.0px;" /> A. 7.5 cubic inches B. 122.5 cubic inches C. 102.5 cubic inches D. 112.5 cubic inches
Factor, if possible.512y9 - 729
A. (8y3 - 9)(64y6 + 81) B. (512y3 - 9)(y6 + 72y3 + 81) C. (8y3 - 9)(64y6 + 72y3 + 81) D. (8y3 + 9)(64y6 - 72y3 + 81)
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2