Find the work done by F over the curve in the direction of increasing t.F = - i + j + k; C: r(t) = i + j  + 5tk, 0 ? t ? 

A. W =  + ?2
B. W =  + ?2
C. W =  + ?2
D. W =  + ?2

Answer: D

Mathematics

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Find the Taylor polynomial of order 3 centered at 0.f(x) = e-4x

A. p3(x) = 1 - 16x +  - 
B. p3(x) = 1 - 4x +  - 
C. p3(x) = 1 - 4x +  - 
D. p3(x) = 1 - 4x +  - 

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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = (x + 3) sin x

A.  (x + 3) sin x
B. cos x ln (x + 3) +  
C. (x + 3) sin x
D. sin x ln (x + 3)

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Solve the problem.In a distant solar system the diameter of planet A is 7 times as great as the diameter of planet B. The diameter of planet B is 857 miles. Find the diameter of planet A.

A. 5992 mi B. 5899 mi C. 5989 mi D. 5999 mi

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Solve the problem.The floor of a rectangular room is to be tiled with  foot square tiles along a  wall. How many tiles will be needed along the wall?

A. 2 tiles
B. 21 tiles
C. 24 tiles
D. 22 tiles

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Mathematics