Find the limit, if it exists. 

A. Does not exist
B. 6
C. -6
D. 0


Answer: A

Mathematics

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A particle moves with position function r(t) = 5 costi + 5 sintj + 5tk. Find the normal component of the acceleration vector.

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Find all the complex roots. Leave your answers in polar form with the argument in degrees.The complex fifth roots of  + i

A. (cos 30° + i sin 30°), (cos 102° + i sin 102°), (cos 174° + i sin 174°), (cos 246° + i sin 246°), 
B. 32(cos 30° + i sin 30°), 32(cos 102° + i sin 102°), 32(cos 174° + i sin 174°), 32(cos 246° + i sin 246°), 
C. 32(cos 6° + i sin 6°), 32(cos 78° + i sin 78°), 32(cos 150° + i sin 150°), 32(cos 222° + i sin 222°), 
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Solve the problem.A projectile is fired with an initial velocity of 450 feet per second at an angle of 70° with the horizontal. In how many seconds will the projectile reach its maximum altitude? (Round your answer to the nearest tenth of a second.) The parametric equations for the path of the projectile are x = (450 cos 70°)t, and y = (450 sin 70°)t - 16t2.

A. 21.3 sec B. 18 sec C. 9.8 sec D. 13.2 sec

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Determine whether the proportion is true or false by writing the ratios in lowest terms. = 

A. True B. False

Mathematics