Find the mass of the wire that lies along the curve r and has density ?.r(t) = (6 cos t)i + (6 sin t)j + 6tk, 0 ? t ? 2?; ? = 9

A. 18? units
B. 648? units
C. 108? units
D. 12? units


Answer: C

Mathematics

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Write as a percent. Round the percent to the nearest tenth if necessary.

A. 170% B. 111.8%  C. 11.2%  D. 65.8% 

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Use the appropriate formula to solve the problem.The length of a rectangular billboard is 9 inches more than the width. The perimeter of the billboard is 146 inches. Find the width of the billboard.

A. 41 in. B. 9 in. C. 36 in. D. 32 in.

Mathematics

The system cannot be solved by matrix inverse methods. Find a method that could be used and then solve the system.-2x1 + 6x2 = -46x1 - 18x2 = 12

A. x1 = 2t + 6, x2 = t for any real number t B. x1 = 3t + 2, x2 = t for any real number t C. No Solution D. x1 = 3t + 2 for any real number t, x2 = 0

Mathematics

Provide an appropriate response.Formulate the dual problem for the linear programming problem:Minimize  C = 6x1 + x2 + 5x3subject to  

A.

Maximize P = 2y1 + 16y2
subject to 
 
B.
Maximize P = 2y1 + 16y2
subject to 
 
C.
Maximize P = 2y1 + 16y2
subject to 
 
D.
Maximize P = 16y1 + 2y2
subject to 
 

Mathematics