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Find the Exact Mass of a Thin Wire in the Shape

Question 110

Multiple Choice

Find the exact mass of a thin wire in the shape of the helix x=2sin(t) ,y=2cos(t) ,z=3t,0t2πx = 2 \sin ( t ) , y = 2 \cos ( t ) , z = 3 t , 0 \leq t \leq 2 \pi if the density is 5 .


A) 4134 \sqrt { 13 }
B) 810π28 \sqrt { 10 } \pi ^ { 2 }
C) 101310 \sqrt { 13 }
D) 1013π10 \sqrt { 13 } \pi
E) 13π\sqrt { 13 } \pi

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