4. Find parametric equations of the line tangent to the surface z = y² + x³y at the point (2,1,9) whose projection on the xy-plane is parallel to the x-axix.

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: vector-valued function 7(t) the parametric equations of the line.) b) Find the distance of the point…

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Q: 5. (a) (b) The surfaces (x - 2)² + z² = 9 and y = z² intersect along the curve C. Find a vector…

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Q: Find an equation of the tangent plane to the surface z = -2z² – 2y?- lz 2y+ 3 at the point (5, 1,…

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Q: Find the equation of the tangent line to the trace y-3 of the quardic surface defined by 9x² + 2y²…

A: We have to find the equation of the tangent line to the trace y=3 of the quardic surface defined by…

Q: 8. Find the parametric equations for the plane that passes through the points: P (2, -2, 3), Q (0,…

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Q: An object with mass m = 1 kg is attached to a spring with spring constant k and a dashpot with c =…

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Q: Find a parametric equation for the line through the point (6,5, - 3) and perpendicular to the plane…

A: Given plane is, 7x+4y+4z=15 Since, the line is perpendicular to the plane then the normal vector…

Q: 4. Find the parametric equations for the tangent line to the curve of intersection of the y z 1…

A: Given: