6. Consider the parametric curve x(t) = 1 + cost+cos 2t, y(t) = sint + sin 2t = sin t(1+2 cos t) with - < t < л. Give the equations, with y as a function of x, for the tangent lines to the curve at the origin of the Cartesian coordinates.

Q: b) For the curve 2² - 4ry² = y³ +9, do the following:

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Q: Provide a set of parametric equations for the function f(x) = x² sec² (2x + 1).

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Q: A curve is given by the parametric equations  x=t^2/1-t  y=t+1 give an implicit equation in x and y…

A: The required Implicit form of the curve isy2+xy−2x−2y+1=0.Explanation:Steps and explanations are as…

Q: Consider the parametric equations x(t) = 1 + 3t2, y(t) = 4 + 21³, -1 <t <1. • What is the length of…

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Q: Find the unit tangent vector to the curve defined by F(t) = (4 cos(t), 4 sin(t), 3 sin (t)) at t = 3…

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Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

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