Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et – 1, y = e2t

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: Give a cartesian equation for the curve given by the parametric equations: 4t² - 4t, y = 14t².…

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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: Graph the parametric curve x=2t-3, y=6t-7 by

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Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

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Q: Find parametric equations for the line of slope 6 that passes through the point (7,9). (Use t as…

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Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become:

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: Explain how a pair of parametric equations generates a curve in the xy-plane.

A: Our Aim is to explain the fact that how a pair of parametric equationsgenerates a curve in the…

Q: Find the slope of the line whose parametric equations are x=4t+6 and y=t-1

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