Consider the vector field F ( x , y , z ) 4 x , 4 y , 2 z , and the curve C parameterized by the function r ( t ) sint , cost , t , with 0 t 3 2 ( a ) Write F as a function of only t F ( t ) , , ( b ) Compute dr in terms of t and dt dr , , dt ( c ) Compute the line integral of F over C

Question

Consider the vector field F ( x , y , z )   4 x , 4 y , 2 z , and the curve C parameterized by the function r ( t )   sint , cost , t , with 0 t 3 2   ( a ) Write F as a function of only t   F ( t )   , , ( b ) Compute dr in terms of t and dt   dr   , , dt ( c ) Compute the line integral of F over C

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Consider the vector field F ( x , y , z ) = 4 x , 4 y , 2 z , and the curve

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