6. Consider the vector field defined by F = ( 1² ) ² + ( 3,³² m (2). X 2 2√y (a) Use the component test to show that the vector field F is conservative. j + (√y) k (b) Find a potential function for F. Show the steps of your computation for this. (c) Using the answers above, compute the value of the line integral -(2,4,5) (112) (²) de + (3y² Im(2) - 2√5) dy + ( √5) dz 4

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