Find the velocity and acceleration vectors in terms of u, and u. r= a(9 + sin t) and 0 = 3 - e ', where a is a constant O4, + (O ". V =

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Q: Calculate the velocity and acceleration vectors, and speed for r(t) = (cos(t) , sin(3t) , sin( when…

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Q: Find the directional derivative of the function f(x, y,z) =x-y+2z at the point P(1,2,3) in the…

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Q: Calculate the velocity and acceleration vectors, and speed for r(t) = (sin(3t), cos(t), cos(3t))…

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Q: 11. Calculate the directional derivative of the function f(, y, z) = xyz at the point a (-1,0,2) in…

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Q: Q1. Find the directional derivative of = x²z + 2xy² + yz2 at (1, 2,-1) in the direction of vector…

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Q: The directional derivative of f(x, y, z) = x? + y? + 4xz at Po(1,-2,2) in the direction of the…

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Q: 4. If a particle moves in the xy-plane so that at time t its position vector is sin 31 ,3r2 find the…

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Q: Find the velocity vector for the position vector r(t) = (sin(3t), 10t°, e -"). x component = y…

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