find an equation of the surface of revolution generated by revolving curve equation of curve coordinate plane axis of revolution z=5y yz-plane z-axis

Q: the plane curve described by the parametric equations x=cost and y=3sint has a counter-clockwise…

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Q: What is parametric equation?

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Q: Explain the process of sketching a plane curve given by parametric equations. What is meant by the…

A: The objective is to explain the process of sketching a plane curve given by parametric equations.

Q: l1 passes through the point with coordinates (3, 4, 5) in the direction of 2 1 l2 passes through the…

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Q: What are plane curves and parametric equations?

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Q: 7. A line has equation /:*-=-= 1:*=1==32₁2=3 x-1 y-2 -,Z=3 z a) Write the parametric equation for…

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Q: Q3\Find the parametric and symmetric equations of the line through the points (3,2,0) and (- 5,0,…

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Q: Complete the parametric equations for the line where the planes - 6x - y + 11z = -34 and - 4x + 2y +…

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Q: 3. Find a rectangular equation to represent the plane curve. x = 3 tant, y = 2 sect for tin (-7-7)

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Q: Q6\ Find parametric equations for line through P(-3, 2, -3) and Q(1, -1, 4)

A: Question No. (6): To find the parametric equations for a line passing through the points .Note:…

Q: Find the parametric equation for the line in R' that passes through the point (1, –2, 3) and that is…

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Q: Vrite the parametric equation of the line representing the intersection of the x+ 2y + z = 5, x – 3y…

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Q: 4. Given a, b € Z, such that mdc(a", b") = 1, \n € N₁ n ≥ 2, Verify that a and b are prime numbers…

A: Given that a, b∈ℤ, such that                                 mdcan, bn=1, ∀n∈ℕ, n≥2. To prove that…

Q: True or False Curves defined using parametric equations have an orientation.

A: Given: Curves defined using parametric equations have an orientation. To write: The given statement…

Q: can you help find the parametric equation of a plane that goes though the point (2,0,1). the plane…

A: Given the required Plane passes through the point  Suppose  that .Also, given  that  the  given…

Q: What is the equation of the plane passing through the point (2, -3, 1) and perpendicular to the line…

A: A plane is a two-dimensional flat surface that extends indefinitely in all directions. It is…

Q: 9. (a) What are the two properties that determine a line in space? Give parametric equations for a…

A: To find the parametric equations for the line through the given points and to mention the properties…

Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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