Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve. r(t) = (3cos t)i + (3sin t)j + (√3t)k, Osts

Q: coordinates: 0 ≤ r ≤ R, with 0 ≤ 0 ≤ 2π, and 0) ≤ z ≤ 0. Compute its volume. OTR³ O π² R² 2T² R…

A: The polar coordinates of the given solid: 0≤r≤R, 0≤θ≤2π, 0≤z≤θ. We have to find the volume.

Q: Find the for the radii vector maxima and minima the Curve 2. a 2. sin'o Costo

A: Our objective is to find the maxima and minima for the radio vector of the curve.

Q: A particle is moving in the velocity of v(t) = . %3D Find the unit tangent of the particle's…

A: Given; v(t)=<6sint,6cost,-3>

Q: Find the unit tangent = (a cos t, a sin t, b t) - at any point. Also find the length of one to the…

A: r=acost, bsint, bt, -∞<t<∞ where a>0

Q: Find the unit tangent to the circular helix. r = (a cost, a sin t, b t) -∞0 and equation of tangent…

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Q: Sketch the curve. Show the tangent vector at t = 0. Mark the initial and final points, and any other…

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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Solve the problem. Find the length of the curve y = In(csc x), 7/4 T/2 VI E

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Q: A particle is moving in the velocity of v(t) = . Find the unit tangent of the particle's movement. O…

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Q: Sketch the curve f(x, y) = c, together with Vf and the tangent line at the given point. Then write…

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