Provide an appropriate response.Use the first derivative test to determine the local extrema, if any, for the function: 
A. local max at 
and local min at 
B. local max at x = 1 and local min at x = 0
C. local min at 
and local max at 
D. local max at 
and local min at 
Answer: D
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Find the center of mass of a thin plate of constant density covering the given region.The region enclosed by the parabolas y = - x2 + 32 and y = x2
A. 
= 0, 
= 
B. 
= 0, 
= 32
C. 
= 16, 
= 0
D. 
= 0, 
= 16
Find parametric equations for the line through the point (4,5,5) that is parallel to the plane x+y+z=-15 and perpendicular to the line x=15+t, y=12-t, z=3t.
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Choose the value which could represent the slope of the line. Assume that the scale on the x-axis is the same as the scale on the y-axis.
A. undefined B. 0 C. 2 D. -2
Solve the problem.The population of a city at the beginning of 2005 is 1,259,000. What will the population of the city be at the beginning of 2015 if it decreases by 2.4% each year? Round to the nearest whole number.
A. 963,771 B. 1,011,752 C. 987,470 D. 956,840