Steam is rushing from a boiler through a  conical pipe, the diameters of the ends of  which are D and d; if V and v be the   corresponding velocities of the steam and  if the motion be supposed to be that of  divergence from the vertex of the cone,

Q: Find the exact length of the curve described by the parametric equations. x = 1 + 6t2,    y = 5 +…

A: Find the exact length of the curve described by the parametric equations.x=1+6t2,y=5+4t3,0≤t≤3Using…

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A: Given that: Angle of inclination, ∅=0.5°Initial ascent = 2.2 km

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A: In this solution, we consider the problem of transforming data from polar coordinates (r, θ) to…

Q: Find the length of the following parametric curve. x = 6 + 916, y = 5 + 6t°, 0<t < 2.

A: solution is given below

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A: Here we have to find interval [c, d], velocity vector and graph the velocity vector.

Q: At what point should the engine be turned off to coast along the tangent line to a base at (3,15).…

A: Here the given point is (3,15), and the path is

Q: Question 3. Consider the function f(z, y, z) = 1² + y² +2z2 – 2r – 4y – 8z. The set of points where…

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A:

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A:

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A: We know that,

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A:

Q: The curves T1 (t) = (3t, t°, – 4t°) and r2(t) = (sin(5t), sin( – 2t), t) intersect at the origin.…

A: We have to find the direction vector first.

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A: At a certain ocean bay, the maximum height of the water is 4 m above | mean sea level at 8:00 a.m.…

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A: