Find a vector equation for the curve of intersection between the surfaces y^2-x^2=9 and 2x-3y-z=12.
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- Determine a vector equation for the line tangent of the curve of intersection of the surfaces:Find the tangent plane to surface 8x2 + y2 + 4z2 = 25 at the point ( 1, -1, 2 ).Find a parametrization for the curve described below. The line segment with endpoints (-2,4) and (0,5). X = ----- for 0 ≤ t ≤ 1
- 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).Compute the equation of the tangent plane to the surface: y = 1 - x2 - 2z2 At the point (0, 1, 0)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 the slope of the tangent to the curve of intersection of the survace 3z =√36 – 9x² – 4y² and the plane x = 1 at the points (1,–2,√11/3)!find the slope of the tangent to the curve of intersection of the surface 3z=√36-9x²-4y² and the plane x=1 at the point (1,-2,√11/3)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).
- Find 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 I find the bounds in which I integrate a curve that is rotated about an axis?Find the parametrization of the curve defined by the intersection of the two surfacesy = x^2 − 3z^2 and x^2 + z^2 = 9, where x ≥ 0.