1. Find the Lateral Surface Area under the surface: f(x, y) = y/x, over the curve C: y= x , from (1, 1) to (2,
1. Find the Lateral Surface Area under the surface: f(x, y) = y/x, over the curve C: y= x , from (1, 1) to (2, 4). 2. Given the vector field: F(X, y, z) = , a) show that F is conservative, and find its potential function, f. b) Find the work done by the force F moving an object on a smooth path from: A(-1, 0, 1) to B(2, it, 1). (2,4 ) 3. Evaluate: o xydx + x ydy, for the given path C, -> a) using Green's Theorem, and b) using line integrals. y = x' (0,0) (2,0) X
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