Determine the arc length parameterization of the circle x^2+y^2 =a^2 with orientation counterclockwise and (a, 0) as the point of reference

Q: Find the equation of the circle Busan bent X=y^2-y at point (0,1)

A: Given problem is : Find the equation of the circle Busan bent X=y^2-y at point (0,1) .

Q: Find the coordinnates of a point on the oarabola y\power{2}=8x whose focal distance is 4.

A: Parabola.  y2=8x.  and Focal distance = 4

Q: Verify Green's Theorem where F1=y^2-7y , F2=2xy+2x and the curve C is a circle x^2+y^2=1

A: Given: F1=y2-7y , F2=2xy+2x and C is a circle i.e., x2+y2=1 As, we have:…

Q: Find an arc-length parametrization of the line passing through (1, 0, 1) and (1, 2, 3). Upload an…

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Q: Find the parametric equation to describe the following curve: b) the part of x = 2y^2 - 1 from…

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Q: ind all points of intersection (r,θ) of the Lemniscate r^2=25cos(2θ), and the circle r=1 for values…

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Q: Pketen the parametric curve, x = et, y = e=2t Then eliminate the parameter to find a Cartesian…

A: y=1x2

Q: Parametrize the circle of radius 7 centered at (-2, 3) in the clockwise direction starting at…

A: Here I am attaching image so that you understand each and every step.

Q: Sketch a graph of the parametric curve defined by:  x = t^2 and y = t^3 - 4t  for − 2 ≤ t ≤ 2.…

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Q: Find the locus of the point of intersection of the tangents to the circl x2 + y2 = a2 mhoco at…

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Q: Find parametric equation of a helix radius 5 from a point (5, 0 ,0) to a point (0, 5, 1)

A: Given that the radius of the helix is R=5. We know that the parametric equation of helix is given…