Solve the problem.A force acts on a certain object in such a way that when the object has moved a distance of r (in m), the force f (in newtons) is given by  Find the work (in joules) done through the first four meters.

A. 64 J
B. 40 J
C. 175.7 J
D. 210.7 J


Answer: D

Mathematics

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Find the absolute maxima and minima of the function on the given domain.  on the trapezoidal region with vertices        and  

A. Absolute maximum: 16 at    absolute minimum: 6 at  
B. Absolute maximum: 20 at    absolute minimum: 0 at  
C. Absolute maximum: 16 at    absolute minimum: 0 at  
D. Absolute maximum: 12 at    absolute minimum: 6 at  

Mathematics

Solve the application problem. Round to the nearest cent.Find the amount of each payment into a sinking fund if $14,000 must be accumulated. Payments are made at the end of each quarter for 3 years, with interest of 6% compounded quarterly.

A. $829.92 B. $1,073.52 C. $1,180.06 D. $4,597.32

Mathematics

Solve the problem.Find all values of a that will make the polynomial a perfect square trinomial. 4x2 + ax + 16

A. 8, -8 B. 16 C. 8 D. 16, -16

Mathematics

For the given functions f and g, find the requested function and state its domain.f(x) = 2x3 + 3; g(x) = 6x2 - 1Find f ? g.

A. (f ? g)(x) = 12x5 - 2x3 + 18x2 - 3; (-?, 0) ? (0, ?) B. (f ? g)(x) = 2x3 + 6x2 - 3; (-?, ?) C. (f ? g)(x) = 12x6 - 2x3 + 18x2 - 3; (-?, ?) D. (f ? g)(x) = 12x5 - 2x3 + 18x2 - 3; (-?, ?)

Mathematics