Find the length of the radius or diameter as requested.r = 45 ftFind the diameter.
A. 6358.50 ft
B. 90 ft
C. 141.3 ft
D. 22.5 ft
Answer: B
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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded below by the parabola 
and above by the line 
, with density 
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Find the mass of the wire that lies along the curve r and has density ?.r(t) = 3i + (4 - 4t)j + 3tk, 0 ? t ? 2? ; ? = 8(1 + sin 2t)
A. 80 + 80? units B. 16? units C. 40 + 80? units D. 80? units
Provide an appropriate response.It took 21 seconds for the temperature to rise from 10° F to 141° F when a thermometer was taken from a freezer and placed in boiling water. Although we do not have detailed knowledge about the rate of temperature increase, we can know for certain that, at some time, the temperature was increasing at a rate of 
° F/sec. Explain.
What will be an ideal response?
Find the modified quota asked for. Round your answer to two decimals.A small city has 46 police officers to be apportioned among 8 precincts based on the population of each precinct. The populations are given in the following table. 
Find the modified quota for the Sixth Precinct using the divisor 513.
A. 8.03 B. 7.98 C. 7.85 D. 7.79