MATH 023 Final: math23_2005f_final

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9 Jan 2019
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There are 7 problems and 144 points total. The point value of each question is indicated. 2 y da using polar: (18 points. ) Find a formula for the line which passes through the point (1,2,3) in the direction of the vector (2,1-3) t (3cos( ), 2 sin( ): (28 points. ) Find the velocity and acceleration along the following curves: r r t t t r r t t (cos( Use the change of variables s xy= xy= 6. a) (7 points) sketch the vector field r. F x y y x b) (10 points) check that r r t t e t e t e t e is a flow line of the vector field r. F x y y x: (3 points) draw the flow line r r t t e t e t e t e in the vector field ( , r.

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