EXAM V WORKSHEET

EXAM V WORKSHEET (Practice Problems)

1. Let C be the counterclockwise path around the triangle with vertices (0,0), (2,0), and (2,2) starting at (0,0). Find a piecewise smooth parameterization of the path C.

2. Let C be the path along the parabola y = 2x² from P(0,0) to Q(2,8). Find the work done in moving an object along C from P to Q in the force field

Show three different solutions to the problem by (1) showing that the force field is conservative and using a potential function, (2) finding the work moving along the path C, and (3) finding the work done moving along a different path from P to Q.

3. Show that the following force field is conservative and find a potential function f(x,y) for it.

Find the work done by the force field in moving an object in this force field from

4. Let C be the path shown from A(0,0) to B(1,1) to D(3,2). Find a piecewise smooth parameterization of the path C.

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Lane Vosbury, Mathematics, Seminole State College email: vosburyl@seminolestate.edu