Divide. Simplify, if possible. ÷ 

A.
B.
C.
D.


Answer: A

Mathematics

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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (cot t)i + (csc t)j

A. v = (csc2 t)i + (cot t csc t)j B. v = (-sec2 t)i - (tan t sec t)j C. v = (sec2 t)i + (tan t sec t)j D. v = (-csc2 t)i - (cot t csc t)j

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Find the length of the third side of the right triangle.Round to the nearest tenth, if necessary.

A. 151.5 cm B. 4.2 cm C. 12.3 cm D. 2.6 cm

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Use the dot product to determine whether the vectors are parallel, orthogonal, or neither.v = j,  w = 2i 

A. orthogonal B. parallel C. neither

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Solve the problem.The earth, Jupiter, Saturn, and Neptune all revolve around the sun. The earth takes 1 year, Jupiter approximately 12 years, Saturn approximately 30 years, and Neptune approximately 165 years to make a complete revolution. How often will Jupiter, Saturn, and Neptune appear in the same direction in the night sky as seen from earth?[Hint: Find the LCM of 12, 30, and 165]

A. Every 660 years B. Every 3300 years C. Every 1980 years D. Every 330 years

Mathematics