Find the equations of the lines tangent and normal to the curve given by the parametric equations x = 4 cos t  and y =  2sin2 t at t = π/3

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Q: Find the equations of the lines tangent and normal to the curve given by the parametric equations x…

A: Given: x=4 costy=2 sin2tt=π3

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Q: For the parametric curves x(t) = 2+ 3 cos(t), y(t) = 6 – 4 sin(t), 1 € [0, 27) Part a: Give an…

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A: Given that      r(t) = (2 sint)i +(t3-cost)j +e2tk , t=0

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A: At t=0,x(0)=6cos(0)=6y(0)=04-6sin(0)=0z(0)=2e3(0)=2 The point on the the curve at t = 0 is (6,0,2).

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A: make a table values t x=t+sint y=cost -π x=-π +sin-π=-π +0=-π =-3.14 y=cos-π=-1 -π2…

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Q: The parametric equations for the motion of a charged particle released from rest in electric and…

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A: Given  x=e-3tcos8ty=e-3tsin8tz=e-3t

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