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Find the postion
and the initial position vector R(0) = 3i-3j+2k.
R(t) =
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- find the velocity and acceleration vectors in terms ofur and uθ . r = a(1 - cos θ) and dθ/dt = 3find the velocity and acceleration vectors in terms ofur and uθ . r = a(1 + sin t) and θ = 1 - e-tFind a vector function that represents the curve of intersection of the surface 4x+2y-8z^2=16 and the cylinder of radius 3 wrapped around the y-axis.
- How do you find the velocity and acceleration vectors at t=-1?Find a vector function that represents the curve of intersection of the paraboloid z = 7(x^2) + 2(y^2) and the cylinder y=4x^2. Use the variable t for the parameterParametrize the monkey saddle z=x^3−3xy^2 by using u=x,v=y as the parameters. plot the image
- a) What is the rate of change of f(x, y) = 3xy + y^2 at the point (2, 4) in the direction of vector v = -3i - j? b) What is the direction of maximum rate of change of f at (2, 4)? c) What is the maximum rate of change?Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+5y^2 and the cylinder y=5x^2. Use the variable t for the parameter.r(t)=⟨t, , ⟩