Question: Please provide the full solution thanks 1. The figure below shows the vector field F(x, y, z) = 2xi - 3yj + 5z k and

Please provide the full solution thanks

1. The figure below shows the vector field F(x, y, z) = 2xi - 3yj + 5z k and the path C which has the following piecewise components. C1 is the straight segment from (0,0,0) to (0,1,0) C2 is the straight segment from (0,1,0) to (3,0,0) C3 is the curved segment from (3,0,0) back to (0,0,0) - 2 (i) Compute W1 = Jo F . dr (ii) Compute W2 = / F(r(t)) . "I dt where r(t) = 3ti + (1 - t)3 + 0k , te [0, 1]. dt dr (iii) Compute W3 = F(r(s)) . ds where r(s) = -(2 - s)+ 5 - ($2 - 4)3 + 2 cos TTS k , SE [-2, 2]. 3 (iv) Compute W = & F . dr = >Wi. i= 1
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