Find the derivative of the function at P0 in the direction of u.f(x, y, z) = -4xy3z2, P0(-4, -64, 16),  u = -2i + j - 2k

A. - 
B. - 67,108,864
C. - 83,886,080
D. - 


Answer: A

Mathematics

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Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the parabola y = 81 - x2 and the x-axis, with density ?(x) = 9x2

A.  =  = 0
B.  = 0,  = 
C.  = 0,  = 
D.  = 0,  = 

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Convert the units.320 ft2 =  yd2

A. 10 B. 4 C. 5 D. 35.6

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Find the exact value of the expression using the provided information.Find tan(s + t) given that cos s = - , with s in quadrant II, and  with t in 

A.
B. - 
C.
D. - 

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Find ? if B = 4?. ?  ?  Remember: The sum of the three angles in any triangle is always 180°. ? 

A. ? = 72° B. ? = 19° C. ? = 21° D. ? = 18° E. ? = 69°

Mathematics