Consider the vector field F = (x* + 1', 6xy). Compute the line integrals ( F . dr and [ F . dr, where c,
Consider the vector field F = (x* + 1', 6xy). Compute the line integrals ( F . dr and [ F . dr, where c, (t) = (t, t?) and co(t) = (t, t) for Oct1 Can you decide from your answers whether or not F is a gradient vector field? Why or why not? S. F . dr = S. F . dr Is F conservative? (yeso)S F. da ( x 2 + y ' ) + ( bxy ) 2t dt t t 12 t " dt C O 5+ 39 5 15 = 4 4 15
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