Find a set of parametric equations to represent the graph of the rectangular equationy = 3 − x2 using (a) t = x and (b) t = x + 2.

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: -38, find parametric equations for the given curve. 3x 34. Segment joining (-3,0) and (0, 4)

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Q: find a set of parametric equations to represent the graph of the rectangular equation using and…

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Q: Find the parametric equation of the line ( x-3, y+6 )•( 2,-3 ) = 0

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Q: Select a parametric equation that represents the line that passes through the points (3,0,−2) and…

A: Find the direction vector of the line using the two points

Q: Find two different parametric equations for rectangular equation. y= 2x2-8.

A: Given that, y=2x2-8

Q: Find two different parametric equations for rectangular equation. y=-2x+4.

A: Two different parametric equations for the given rectangular equation y=-2x+4

Q: Find two different pairs of parametric equations for y = - 2x + 4.

A: The given equation is: y=-2x+4 Consider, x=t Then, y=-2t+4

Q: ) Write the parametric equations x = x = 2t-t³, y = 3 - 2t in the given Cartesian form.

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Q: Write three different sets of parametric equations for the curve $y=\sqrt{x}$

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Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: 2. Find the parametric equations of the line passing through the point (-1,4, -3) and is parallel to…

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Q: Find the parametric equations of the line segment that passes through the points A(4,2,-5) and…

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Q: Find a parametric equations representation for the curve (x + 3) 2 . (y – 2)² 1 4

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Q: Find two different sets of parametric equations for the rectangular equation   y = x3

A: y=x3 Let x=t, then y=t3 Let x=t+1, then y=t+13

Q: 22 a) Drive the parametric equation of straight line Ched the f

A: We will answer the first question as you didn't mention any. Please resubmit the other question…

Q: Find the parametric equations of the line perpendicular to l1 and l2 that contains the point (-1.…

A: We have to find equation of a line which is passes through the point (-1,-1,-1) and Perpendicular to…

Q: Write the parametric equations x = 3e', y = 3e as a function of x in Cartesian form. y = with x > 0.

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Q: Graph the pair of parametric equations with the aid of a graphing calculator x = 4 sin t - sin 4t, y…

A: Given x=4sint-sin4ty=4cost-cos4t0≤t≤2π

Q: Find two different sets of parametric equations for the rectangular equation y = 4x - 3.

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Q: The graph of the curve described by the parametric equations x = 4t −1, y = 3t + 2 is a straight…

A: For a line passing through the point (a,b) and parallel to the vector (c,d) its parametric equation…

Q: d) Find the parametric equations for the line of intersection of the two planes.

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Q: ) Find parametric equations for the line segment starting at P(-1,-3) and ending at Q(6,-16).

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Q: Find parametric equations for the line segment starting at P(3, –4) and ending at Q(-5,2).

A: We have to find the parametric equation of the given line.

Q: Find two different sets of parametric equations for the rectangular equation y = x2 - 3.

A: Find two different sets of parametric equations for the rectangular equation y = x2 - 3

Q: Find the length of the curve defined by the parametric equations

A: Given parametric equations are x=(5/6) t and y=5 ln((t/6)2-1) from t=7 to 9 W need to find length of…

Q: Find the parametric equations for the path of a particle that travels three quarters of the way…

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Q: x+4 5 y-2 -5 2+1 1

A: Given the equation is x+45=y-2-5=z+11

Q: find a parametric equation for the line that is perpendicular to the graph of the given equation at…

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Q: Find two different sets of parametric equations for the rectangular equation: y = 2x - 5.

A: Given, y=2x-5

Q: passes through (-2,-1) and perpendicular to the line y= 3.

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Q: Complete the parametric equations of the line through the point (3,-7,-2) and perpendicular to the…

A: Given that, the equation of the plane is     -3x-y+z=2  and the point (3,-7,-2) The direction vector…

Q: Find the parametric equations for the line through the point (5, 2,9) and perpendicular to the plan…

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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: The position of an object at time tis given by the parametric equations

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

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Q: Find two different sets of parametric equations for the rectangular equation  y = x2

A: y=x2 Let x=3t, then y=3t2=9t2 Now let x=4t, then  y=4t2=16t2

Q: Find a set of parametric equations for the rectangular equation. y=(x+3)2 /5

A: Refer to the question, we have to write the set of parametric equations for the rectangular equation…

Q: Find the corresponding Cartesian equation of the parametric equation       x=3cosθx=3cosθ.…

A: Given:           x=3 cos θ,   y=4 sin θ            0≤θ≤2π From: x= 3 cos θ            cos θ=x3 From:…

Q: Find a set of parametric equations for the line segment from (-1,5) to (9,–4).

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Q: Find a set of parametric equations of the line segment from (-1,-3) to (6,-16)

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Q: Determine the parametric equations of the path of a particle that travels the circle:

A: Given,        (x-4)2+(y-3)2=49 Time interval is 0≤t≤2π

Q: Find parametric equations for the line through (8,4,6) parallel to the x-axis. X = y = - o <t< ∞

A: The equation passing through point (8,4,6). The parametric equation passing through point (8,4,6)…