For the planer curve represented by the parametric equations x = 3t and y=t² + 5, what is the rectangular equation of the curve?

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 the equation of the curve described by the parametric equations x = 3+cost,  y = -5+sint ?

A: What is the equation of the curve described by the parametric equations x = 3+cost,  y = -5+sint ?

Q: Find the slope-intercept form of the line with the following parametric equations: a = -2 + 3t, y =…

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Q: Find parametric equations for the trajectory of a particle that moves along the circumference:

A: Given the trajectory of a particle that moves along the circumference

Q: A put being thrown is represented by the parametric equations: x = 22.98t y=-16t² + 19.3t+6

A: x = 22.98t Here, x in terms of t represents the horizontal distance covered by the shot put. y =…

Q: Consider the following. x  =  −t + 1 y  =  −5t Sketch the curve represented by the parametric…

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Q: The lines L1 and L2 are determined by the following symmetric and parametric equations,…

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Q: Determine the direction angles for the line with parametric equations x = 5 + 2t, y = 12 - 8t, and z…

A: Direction angle

Q: Abee flies around a room at an altitude of 2 2.3 meters making circles, so that its a coordinate…

A: Solution :  To write the parametric equation to describe the motion

Q: Give the parametric curve: x = t3-6t2 y = t2-4t Does every horizontal line intersect the curve? Does…

A: Given: the parametric curve:

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

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Q: Find a parametric equation from the given conditions: Parabola with vertex at (2,-3) and opens…

A: Given that the vertex is (2,−3), we have (h=2) and ( k = -3 ).So, our equation becomes:…

Q: The following questions are about the curve given by the parametric equations x=t+2 and y=t^2-2t a)…

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Q: Find Cartesian equation for the curve represented by the parametric equation x=et-6, y = e²+

A: To find the Cartesian equation we have to write a equation in terms of the variable x and y only. I,…

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