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Find the principal unit normal
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Solved in 4 steps with 4 images
- Find an equation of the tangent plane and symmetric equations of the normal line to thesurface zx2 − xy2 − yz2 = 18 at the point (0, −2, 3)Find a unit vector tangent to the curve of intersection of -x^2 - 2y^3 = z - 3 and 25/x2 - 4y - 3z^2 = - x + 6 at the point (1,1,0).Find a set of symmetric equations for the normal line to the surface xyz = 12 at the point (2, −2, −3).
- Find the two-unit vectors that are parallel to the tangent line to the curve y =x2sin(x) at the point (π/2, π2/4).A bee was flying upward along the curve that is the intersection of z = x⁴+xy³+12 with the plane x=1. At the point (1,–2,5), itu event off on the tangent line. Where do the bee hit the xz-plane?Find the unit vector u along which the rate of change of the function f(x, y) = x 2 + xy3 at the point (2,1) is maximum. What is this maximum rate of change?
- Find the rate of change of F at P in the direction of the vector ⟨2,-3,6⟩ and the minimum rate of change of F at P.Consider the curve y = 10 + 4x − x^(2) at (x, y) = (3, 13). Find a vector, v, that has length 4 and is parallel to the tangent line to y = 10 + 4x−x^(2) at x = 3.Find parametric equations for the normal line to the surfacez=ln(3x2 +7y2 +1) at the point (0,0,0)
- Find the principal unit normal vector to the curve at the specific value of the parameter.Find a vector equation for the tangent line to the curve of intersection of the cylinders x2+y2=25 and y2+z2=20 at the point (3, 4, 2).name another different type of 3-D curve from vector valued functions so far I have 1. linear 2. quadratic 3. cubic 4. sinusoidal 5. ?????