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Unformatted text preview: whose acceleration is a (t)= < 2 sin(2 t ) , 3 , t > , if its initial velocity is v (0) =k and its initial position is r (0)= j . 6. Find an equation of the plane that passes through the points P(1,2,3) and contains the line x=3t , y=1+t , and z=2-t . 7. Convert the point (4, 4 ,4) from the cylindrical coordinates to the spherical coordinates. 8. Suppose that r(t) parameterized a space curve C so that r (1)=3 i + 1 3 k , v (1)=2 i-2 j + k and a (1)=-2 j +2 k . Find the following: (a) The speed at t=1 (b) T (1) = (c) B (1) = (d) The curvature at t=1 (e) a T at t=1...
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- Winter '08