a) A curve has the parametric equation given as x = 4+3 cos 0 y = 3 sin 0 – 2. i) Convert the parametric equations into Cartesian equations. ii) Hence, using part (i) sketch the graph.

Q: A simplified model of the Earth-Mars system assumes that the orbits of Earth and Mars are circular…

A: (a)To graph:

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Q: 1. The parametric equations: x = a cos 0,y = a sin? 0;0 ses 2n, define a curve called an asteroid

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Q: Match the given parametric equations with one of the parametric curves. x=3- sint, y=3+ cost

A: It is given that x=3-sint, y=3+cost. we have to find the graph of the parametric curve

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Q: 4. Convert the parametric equations into a single Cartesian equation and use this to sketch the…

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Q: 1 Find parametric equations for the path taken by a point the distance between the centre and the…

A: The given question has been solved in detail

Q: Sketch the curve represented by the parametric equations    x = et − 1,                    y = e3t…

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Q: 1. (a) Sketch a curve represented by the parametric equations x = 1 - t² and y = 1+t. Then find a…

A: As per company guidelines we are allowed to solve one question at a time so i am solving first one…

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A: The parametric equations are x=t+sint, y=cos2t and t∈0,2π.

Q: Sketch the curve represented by the parametric equations x = 8 cos θ,            y = 8 sin θ…

A: given: the parametric equations of the curve are: x=8cosθy=8sinθ

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A: Given that, x=tan2θ, y=sec2θ

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A: x=100 cos 40t=76.6t and y=6+100 sin 40t-16t2=6+64.3t-16t2 describe the position of the ball as a…

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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: Match the given parametric equations with one of the parametric curves. x-3- sint, y = 5+ cost O A.

A: To sketch the given parametric equation :- x = 3 -sin t  and  y = 5+cos t

Q: Without using a calculator, sketch the parametric equations by eliminating the parameter. Indicate…

A: The given parametric equation x=4+2cosθ and y=-1+sinθ

Q: Match the given parametric equations with one of the parametric curves. x= 2- sint, y= 2 + cost

A: To determine the parametric curve for given equation.

Q: A pair of parametric equations is given. x = 5 cos(t),    y = 6 sin(t), Find a…

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Q: 4. Eliminate the parameter and write the parametric equation in rectangular form x = 3 sece, y = 5…

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Q: Solve and show all solutions. Given the parametric equation of a curve: x(theta)=sin(theta)−1 and…

A: Solution: Consider the given parametric equation: x(θ) = sin θ -1y(θ) = θ + cos θ We have the…

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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: 22. a = tan? 0, y = sec? 0 %3D %3D

A: The solution is given below in the next step:

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Q: (a) Determine the Cartesian equation for the parametric curve defined by x(t) = 5 sin t and y(t) =…

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A: Use a graphing utility to graph the curve represented by the parametric Equations

Q: 18. x = et, y = e2t - 1

A: Solution

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Q: This is the problem    If a and b are fixed numbers, find parametric equations for the curve that…

A: Let the coordinate of point P is (x,y). In the triangle OCD, sinθ=CDOCsinθ=yby=bsinθ Similarly,…

Q: 1. Sketch the graph of the curve represented by the parametric equations x = 4cost, y = 4sint 0sts…

A: We have to sketch the graph of the curve and find all points where the curve has a slope of 12.

Q: Sketch the curve for each pair of parametric equations. 2=3 cos t, y=5 sin t

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