(a) Find a vector function that describes the curve of the intersection of the cylinder z²+²=4 and the plane z+y+2z=4. (b) Use the vector function to find the parametric equations for the tangent line to this curve at t= x/6.

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 a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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Q: The vector parametric equation for the line through the points (-3, 5, −4) and (5, −5, 0) is L(t) =

A: The given points are -3, 5, -4 and 5, -5, 0. We have to find a parametric equation.

Q: Find an equation of the tangent plane to the parametric surface

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Q: Find the parametric equations of the line perpendicular to l1 and l2 that contains the point (-1.…

A: We have to find equation of a line which is passes through the point (-1,-1,-1) and Perpendicular to…

Q: 1. x (0) = 0 + cos 0 y (0) = 1+ sin 0 given that

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Q: Find a parametric equation for the line through the point (2,3, – 1) and perpendicular to the plane…

A: Given that The point on the line (2,3,-1) and perpendicular to the plane 8x+3y+3z=5 A vector…

Q: x+4 5 y-2 -5 2+1 1

A: Given the equation is x+45=y-2-5=z+11

Q: Find the set of points satisfying the equation in the complex variable z: |z|^2 +ℝ(z^2) = 4 where…

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Q: Explain how a pair of parametric equations generates a curve in the xy-plane.

A: Our Aim is to explain the fact that how a pair of parametric equationsgenerates a curve in the…

Q: Find the parametric equations of the line tangent to the curve of intersection of the surfaces x² +…

A: The tangent to the intersection of the curves: f(x, y, z)=0, g(x, y, z)=0 is parallel to the vector:…

Q: Subtracting the two equations, find a vector equation for the curve of intersection between y=…

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