The position vector of a particle is r(t). Find the requested vector.The acceleration at t =  for r(t) = (10t - 5t3)i  + 2tan(3t)j + e3tk

A. a = - ?i - 72j + 9e1/4?k
B. a = - ?i - 72j + 9k
C. a = - ?i + 72j + 9e1/4?k
D. a = ?i + 72j + 9e1/4?k


Answer: C

Mathematics

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Divide, if possible.

A. -25
B. 25
C. - 
D. -35

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Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).The first term is -1 + , and the common difference is 5; n = 3

A. -1 - , 4 + , 9 + 
B. -1 + , 5 + , 10 + 
C. -1 + , 4 + , 9 + 
D. 1 + , 4 + , 9 + 

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Solve the absolute value equation. - 1 = -5

A.
B.
C.
D. ?

Mathematics

Identify the conic that the polar equation represents. Also, give the position of the directrix.r = 

A. ellipse, directrix is perpendicular to the polar axis at a distance  units to the right of the pole
B. ellipse, directrix is perpendicular to the polar axis at a distance 3 units to the left of the pole
C. hyperbola, directrix is perpendicular to the polar axis at a distance 3 units to the right of the pole
D. hyperbola, directrix is perpendicular to the polar axis at a distance  units to the left of the pole

Mathematics