Evaluate (if possible) the sine, cosine, and tangent of the real number.
?

?

A. corresponds to the point .


B. corresponds to the point .


C. corresponds to the point .


D. corresponds to the point .


E. Not possible


Answer: C

Mathematics

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Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = - 4 and x = 4. The cross sections perpendicular to the x-axis are semicircles whose diameters run from  to 

A. ?
B. ?
C. ?
D. ?

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Where , , and , find .

What will be an ideal response?

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The position vector of a particle is r(t). Find the requested vector.The velocity at t =  for r(t) = 4 sec2(t)i - 6tan(t)j + 1t2k

A. v = 16i + 12j - ?k
B. v = -12j + ?k
C. v = -12j - ?k
D. v = 16i - 12j + ?k

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Find  and .f(x, y) = ln yx

A.  = 0;  = - 
B.  = ln y;  =  
C.  = xln y;  = - 
D.  = ln y;  = - xln y

Mathematics