Find the integral.
A. -29x + C
B. 29x + C
C. 
+ C
D. - 
+ C
Answer: D
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Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 32 - x2 and y = x2, with density ?(x) = x2
A. 
= 0, 
= 16
B. 
= 0, 
= 32
C. 
= 0, 
= 
D. 
= 16, 
= 0
Solve and check the equation.4(5x + 3) + 3(2x - 2) = 5x + 90
A. {8} B. {9} C. {4} D. {-2}
Solve the problem.How many different 8-letter codes are there if only the letters A, B, C, D, E, F, G, H, and I can be used and no letter can be used more than once?
A. 9 B. 43,046,721 C. 362,880 D. 8
Solve the problem.A projectile is fired from a height of 9.8 feet with an initial velocity of 188 ft/sec at an angle of 48° with the horizontal. The parametric equations for the path of the projectile are x = (188 cos 48°)t, and y = 9.8 + (188 sin 48°)t - 16t2,where x and y are in feet and t is in seconds. Determine the maximum height reached by the projectile. Round your answer to the nearest tenth of a foot.
A. 324.6 ft B. 619.8 ft C. 314.8 ft D. 305 ft