The unit circle x² + y=1 can be wrriten in parametric form as x = cos(0) and y = sin0. dy Find and hence find the stationary points. dx

Q: Sketch the graph of the parametric equations x = sint, y = 2 cos(3t), π ≤ t ≤ 27. Clearly label the…

A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

Q: Determine which of the following parametric equations match the graph.…

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Q: Find the expression for the tangent slope dy/dx for points on the Polar curve r= 6 +12 cosθ

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Q: Find the directrix of the parabola r = 25/(10 + 10 cos θ)

A: The parabola r=2510+10cosθ, we have to find the directrix of this given parabola.

Q: Eliminate the parameter in the parametric equations x = 7+ sint, y = 2+ sint, for 0sts, and describe…

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Q: Show that the graph of the equation r=2a cos θ,a>0, is a circle of radius a with center at (0,a)…

A: Given: r=2a cos θa>0

Q: Eliminate the parameter t from the parametric equations x = 3 + sin t and y = cos t − 2. Graph the…

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Q: Graph the curve with parametric equations  x = sin(t), y = 3 sin(2t), z = sin(3t). Find the total…

A: x=sint, y=3 sin2t, z=sin3t We have to find the total length of the curve.

Q: Locate the center of the curve r = 4(sinθ + cosθ)

A: NOTE: Refresh your page if you can't see any equations. . the given curve is ...............(1)

Q: Generate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please…

A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

Q: consider the following set of parametric equations: x = 6tanhθ ; y = 3sechθ Calculate d^2y/dx^2

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Q: Identify the graph generated by the parametric equationsx = t2, y = t, for -10 ≤ t ≤ 10.

A: x=t2,  y=t  for  -10≤t≤10

Q: A particle moves to the left of the parabola. r=4/(1+cos theta) with constant speed of 4 ft/s. when…

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Q: Trace the curve r² = 4cos⁴(theta) tan²(theta)

A: The given curve is r2=4cos4θtan2θ

Q: Trace the curve: r = 2+3 cos 0.

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Q: Consider the function f(x) given by f(x) = { 2x6 x < 1, 3x²7x21. Which of the following statements…

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