a) Compute the enclosed area and length (from 0 to 2pi) of the parametric curve given by 3, 3, x = A sin 0 and y = A cos 0.

Q: By eliminating the parameter, determine the rectangular equation equivalent to the parametric…

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Q: determine the slope of the tangent line to the polar curve r = 1+3 cos(20) at 0 6

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Q: Find where the polar function f (theta) = 6 cos(theta) has a vertical tangents over [0,2pi]

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Q: (10) Let r(t) = (e'cos 2t, e sin 2t, e2t) a) The curve lies on a quadric surface. Give the equation…

A: Given parametric equation is  rt=etcos2t,etsin2t,e2t           (i) Let us consider…

Q: Consider curve given in polar coordinates by Find the derivative r = 8 cos 0,0 ≤ 0 ≤ π/2, dr = -8…

A: We need to find out the area of the surface of revolution formed by the given function.

Q: Find the slope of the tangent line to the polar curve r=2cos0 at O %3D 4

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Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: Without using a graphing utility, show that the parametric curve r(t) = (3t cos(3t), 3t sin(3t), 3t)…

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Q: 1. The parametric equations: x = a cos³ 0 ,y = a sin³ 0 ; 0 < 0 < 2n, define a curve called an…

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Q: 2a) Find the slope of the curve represented by the parametric equations, at 0 = T/6 %3D x = 5+ 3 sec…

A: The curve given is  x=5+3sec θy=-3+4tan θ