X + 2 2. Consider the conservative vector field F: R3 → R3 which is given by F(x, y, z) (331) x + y (a) Evaluate the lin

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X 2 2 Consider The Conservative Vector Field F R3 R3 Which Is Given By F X Y Z 331 X Y A Evaluate The Lin 1 (206.01 KiB) Viewed 25 times

X + 2 2. Consider the conservative vector field F: R3 → R3 which is given by F(x, y, z) (331) x + y (a) Evaluate the line integral F. dr along the curve C in R3 where C can be parametrised by r(t) = ti+tj + tk forte [0, 1]. = (b) Briefly comment on how knowing that F is conservative can help you to avoid the tedious calculations involved in evaluating F. dr along the path given by Jo TT r(t) = sin(t) i + = (- k 1 cos(2t)) 3 + sinº(t) k for te [0, 1] . 1 2 1 2 OS