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Evaluate CFdr\int _ { C } \mathbf { F } d \mathbf { r }

Question 116

Multiple Choice

Evaluate CFdr\int _ { C } \mathbf { F } d \mathbf { r } where F(x,y) =(ex2+3yx2,cosy2+x3) \mathbf { F } ( x , y ) = \left( e ^ { x ^ { 2 } } + 3 y x ^ { 2 } , \cos y ^ { 2 } + x ^ { 3 } \right) and the curve C is given by C : x=2sint,y=2cost,0t2πx = 2 \sin t , y = 2 \cos t , 0 \leq t \leq 2 \pi .


A) 24π24 \pi
B) 11e
aa8e2_0f7f_a45e_96ab_39554d580268_TB2033_11
C) 48π48 \pi
D) 96π96 \pi
E) 24π- 24 \pi
F) 12π- 12 \pi
G) 48π- 48 \pi

H) 00

Correct Answer:

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