Solve the variation problem.Suppose y varies directly with the square of x, and y = 512 when x = 8. Find y when x = 5.
A. y = 40
B. y = 320
C. y = 64
D. y = 200
Answer: D
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Use a spherical coordinate integral to find the volume of the given solid.the solid between the sphere 
and the cardioid of revolution 
A. 
?
B. 
?
C. 
?
D. 
?
Solve the problem.A mechanism with two length-adjustable links is depicted below. The adjustable lengths are b and c, the length a is fixed, and the point A can only move horizontally. From the law of sines, 
Sketch the graph of b as a function of A for 
and B = ?/4.
A. 
B. 
C. 
D. 
Find the reciprocal.
A. 
B. 9
C. 
D. 
Use Bayes' rule to find the indicated probability.Two stores sell a certain product. Store A has 39% of the sales, 2% of which are of defective items, and store B has 61% of the sales, 4% of which are of defective items. The difference in defective rates is due to different levels of pre-sale checking of the product. A person receives a defective item of this product as a gift. What is the probability it came from store B?
A. 0.8133 B. 0.2438 C. 0.26 D. 0.7625