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 parameter
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- Find a vector equation for the curve of intersectionof the surfaces x^2 + y^2 = 4 andz = xy.Find a vector that is perpendicular to the graph off (x, y) = 3 + 3x−y at (x, y).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.
- 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).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).Determine a vector equation for the line tangent of the curve of intersection of the surfaces:
- 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 paraboloid z = x^2 + y^2 and the cylinder x^2 + y^2 = 16Find a vector function that represents the curve of intersection of the two surfaces
- What is the length of the acceleration vector of a particle travelingaround a circle of radius 2 cm with constant velocity 4 cm/s?Find a vector tangent to the curve of intersection of the two cyclinders x2+y2=32x2+y2=32 and y2+z2=32y2+z2=32 at the point (−4,−4,4)(−4,−4,4).Find a vector function that parameterizes the curve of intersection between the surfaces y^2-z^2=x-2 and y^2+z=9. Use t as the parameter.