Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 4 - x2 and the x-axis, with density ?(x) = 2x2

A.  = 0,  = 
B.  = 0,  = 
C.  =  = 0
D.  = 0,  = 


Answer: D

Mathematics

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Write a chain rule formula for the following derivative. for u = f(p, q); p = g(x, y, z), q = h(x, y, z)

A.  =   +   +   
B.  =  
C.  =   +  
D.  =   +  

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The concentration C, in milligrams per deciliter, of a drug in the bloodstream t hours after it is administered is  ? .   What is the maximum concentration ever achieved? ?

A. 7 milligrams per deciliter B. 3.21 milligrams per deciliter C. 6 milligrams per deciliter D. 2.21 milligrams per deciliter

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Find all cube roots of the complex number. Leave answers in trigonometric form.-8

A. 2 cis 180°, 2 cis 0° B. 2 cis 120°, 2 cis 180°, 2 cis 300° C. 2 cis 60°, 2 cis 180°, 2 cis 300° D. 2 cis 30°, 2 cis 150°, 2 cis 270°

Mathematics

Solve the problem.The time T necessary to make an enlargement of a photo negative varies directly with the area A of the enlargement. If 84 seconds are required to make a 3-by-4 enlargement, find the time required for a  enlargement.

A. 336 sec B. 378 sec C. 252 sec D. 294 sec

Mathematics