Question: Please help with the following solutions. The subject is vector calculus. 3. A particle starting at t = 0 from the point r = 0

Please help with the following solutions. The subject is vector calculus.

Please help with the following solutions. The subject is vector calculus. 3.

3. A particle starting at t = 0 from the point r = 0 = 1/4 in polar coordinates, moves so that r = NIH 2 cos(2t) |v| = 5 sin(2t) Based on the given speed, find a formula for the angle 0 in terms of t, and determine the position (r, 0) at time t = 1/2. 4. Let F = xi+ y-3j + 23k. Find the general equation of the flow lines then obtain the flow line through the point (1, 2, -1)

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