(b) Suppose that the position vector of a particle moving in the plane is r-12vii+j, t>0. Find the minimum speed of the particle and its location when it has this speed.

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Q: 3. Find a vector function that represents the curve of intersection of the paraboloid z =. and the…

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Q: Find the distance between the skew lines with parametric equations x = 1 + t, y = 1 + 6t, z = 2t,…

A: Explanation: Given that,  Line 1: x=1+ty=1+6tz=2t Vector 1: 1,6,2 Line 2: x=1+2sy=5+15sz=-2+6s…

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Q: A point, p, is moving with acceleration 6t j - k at time t. If at t 1, the coordinates of P are (1,…

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A: Image is attached with detailed solution.

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Q: 2. If a particle moves in the xy-plane so that at any time t > 0, its position vector is (In(r² +…

A: Solution-

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Q: The equation of the tangent plane to this ellipsoid at (1, –2, –2) is The vector parametric form of…

A: Let's find.

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A: Given, ellipse x^2+2y^2=6   point=(2,1)

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Q: find the velocity and acceleration vectors in terms ofur and uθ . r = a(1 + sin t) and θ = 1 - e-t

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Q: What is the maximum height of a particle whose path has parametric equations x = t9, y = 4 − t2?

A: The height of the particle is given by it's y position: y = 4 - t2 At the maximum height, dy/dt = 0

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Q: (a) Find the position vector of a particle that has the given acceleration and the specified initial…

A: To find the position vector of a particle with given acceleration vector and initial conditions

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