Find equations of the Normal plane and Osculating plane of the y = 2t , curve x = 2 sin 3t , z = -2cos 3t at the point (0,T ,–2).

Q: Find parametric equations for the line through the point P(3, 6, 4) that is parallel to the plane x…

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Q: Consider the Parametric curve {x=t^3+ 2t^2+t y=t^2−7t+10 (a) It seems to have anxintercept at…

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Q: At point (6, 3, 162), find the parametric equations for the normal line to the surface z = 5x^2 -…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A: Given To find parametric equations for the tangent line to the curve with the given parametric…

Q: Find (d^2)y/d(x^2) at t= pi/3 for the parametric curve given below. Write your final answer in the…

A: Given parametric curve, x = t+sin(t) y = t-cos(t)

Q: The position vector of a particle is (a) Find the length of the curve for 1≤t≤4 (b) Find parametric…

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Q: Find the length of the parametric curve x = 2t + 1, y = 3 + 2tž, 0 < t <%.

A: Find the Length of the curve