Question: please give answer to the following calculus question with step by step calculation to understand clearly 5. (a) [3 marks] Show that the vector field

please give answer to the following calculus question with step by

please give answer to the following calculus question with step by step calculation to understand clearly

step calculation to understand clearly 5. (a) [3 marks] Show that the

5. (a) [3 marks] Show that the vector field F = (12x2y + 6%2, 4:3 -- 20yz, 12:z - 10g2) is irrotational that is V x F = 0. (b) [4 marks] Find a potential function for F. (c) [2 marks] Evaluate the work integral f, F . dr, where C is a path running from the origin to the point (1,2, 1). * f i N

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