Find the center of mass of a thin plate covering the given region with the given density function.The region between the x-axis and the curve y = 
, 1 ? x ? 2, with density ?(x) = 
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Answer: D
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Solve the problem.Integrate 
over the region 0 ? x2 + y2 ? 49.
A. 28?(ln 7 - 1) B. 14?(ln 7 - 1) C. 14?(2 ln 7 - 1) D. 28?(2 ln 7 - 1)
Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: cone x2 + y2 - z2 = 0 between z = 2 and z = 4Density: constant
A. 
B. 
C. 
D. 
Provide an appropriate response.A pet shop has a total of 15 dogs and birds. Altogether there are 42 feet. How many dogs are there and how many birds?
A. 7 dogs and 8 birds B. 6 dogs and 9 birds C. 8 dogs and 7 birds D. 5 dogs and 10 birds
Solve the problem.The following data represents the normal monthly precipitation for a certain city in Arkansas. 
Draw a scatter diagram of the data for one period. Find the sinusoidal function of the form 
that fits the data. Draw the sinusoidal function on the scatter diagram. Use a graphing utility to find the sinusoidal function of best fit. Draw the sinusoidal function of best fit on the scatter diagram.
What will be an ideal response?