Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x² + y² and the ellipsoid 5x² + 3y² + 3z² = 20 at the point (-1, 1, 2). (x(t), y(t), z(t)) = |-1+ 30t,1 + 24t,2 - 4t

Q: Find parametric equations for the line through the point P(3, 6, 4) that is parallel to the plane x…

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Q: . Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² =…

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Q: Find a set of parametric equations for the graph of y = 4x² + 2 using the parameter t = x – 3 O x =…

A: Given parameter- t=x-3 Then,  x=t+3

Q: 3. What is the parametric equation for the line through the point (1 ,2, 3) parallel to the x- axis?…

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Q: Find the parametric equation of the intersection of the planes x + y = 1 and x + z = 2.

A: Equation of plane 1 - x+y = 1        Normal vector of plane 1 = n1 = 1,1,0…

Q: Find the equation of the plane that contain point A(3,1,4) and line I given parametrically as T(L) =…

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Q: It can be shown that the parametric equations x = x1 + (x2 – x1)t, y = y1 +(y2 – yı)t, where 0 <t 1,…

A: Given: Parametric equation of line segment joining the points P1x1,y1 and P2x2,y2 is given as…