D For the parametric equations メ=ーメニ 2-1;t> Eliminate the parameter to obtain an eguation in x and y. Sketch the curre, showing the orientation.

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: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Find parametric equations for each of the following. The circle of radius 2, centered at (0, 3, 0)…

A: We should understand that y is going to be constant  and is going to be 3   Now since r = 2 [given]…

Q: ************ ************** Find the distance between the point and the line given by the set of…

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Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 4z² : =…

A: Given equation: ellipsoid: 4x2+y2+4z2=4; half-cone: y2=x2+2z2 To find: parametric equations for…

Q: Match the equation with the surface it defines:

A: given equation is x24+y24=z249

Q: True or false: There is more than one way for pairs of parametric equations to represent the same…

A: There is more than one way for pairs of parametric equations to represent the same plane…

Q: Sketch the curve represented by the parametric equations

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50…

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Q: Find the parametric equations of the intersection of the planes x + (y - 3) + z = 0 and -x + (y + 3)…

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Q: Find parametric equations and a parameter interval for the motion of a particle starting at the…

A: Given,

Q: Which equation is the vector form of the line with parametric equation x = t + 3, y= 5t - 3, t e R?…

A: The given parametric equations x = t+3 t=x-3 y = 5t-3 t=(y+3)/5 x-31=y+35

Q: segment of roller coaster track is in the shape of a parametric curve given by with -5 <t<5 %3D

A: The given parametric equation r(t)=2ti+t2j+t33k The formula for curvature is given by…

Q: Obtain the parametric equations of: An epicycloid curve described by a point on the circumference of…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

A: Surface of revolution: It is a surface which is created by revolving a curve about an axis. We have…

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y…

Q: Without using a calculator, convert the parametric equations of a curve into rectangular form. No…

A: Given that parametric equation and convert this equation into rectangular form and State the domain…

Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: A curve represented by the parametric equations a = et and y = e 24, will be Select one: О нурerbola…

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Q: The center field fence in a ballpark is 7 feet high and 408 feet from home plate. A baseball is hit…

A: Consider the provided question, The parametric equations for projectile path is given by,

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Find a parametric equation for the line through the point (6,2,3) and in the direction of ai⃗ +bj⃗…

A: Given: (6,2,3) Direction=ai+bj+ck

Q: Select the curve generated by the parametric equations. Indicate with an arrow the direction in…

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Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given:   The line given by the set of parametric equations. (3, -8, 4); x = 2t, y = t - 3, z = 2t +…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

Q: Find parametric equations for the path of a particle that moves along the circle x2 + (y − 3)2 = 16…

A: A circle defined parametrically takes the form: x=r cos(t)+h y=r sin(t) +k

Q: Find a parametric description r(t) for the ine segment from (-1,-3,-1) to (1,7,4). Provide your…

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Q: Please help me with this problem

A: Parametric equation:

Q: Find parametric equations for the path of a particle that moves along the circle x2 + (y − 3)2 = 16…

A: We have been given an equation of circle. We have to express the Cartesian equation into parametric…

Q: Find parametric equations for the line segment from (8, 3, 1) to (3, 5, -2). (Use t parameter t.)…

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Q: Find parametric equations for the line through Po = (3, -1, 1) perpendicular to the plane 8x + 5y –…

A: Consider the point Po and the equation of the given plane. Find the vector Po and the direction…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Follow the procedure given below.

Q: Not sure if it's in quadrant 1 or 3

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Q: Can you show me an example of  parametric curves? Note: I am referring to an exercise, where there…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let's find.

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Eliminate the parameter and graph the plane curve represented by the parametric equations, x = 3sec…

A: Given: x = 3sec t, y = 3tan t ; 0 ≤ t ≤ π/4

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Determine whether the statement " The graph of the parametric equations      x = t2 and y = t2 is…

A: Given: The graph of the parametric equations      x = t2 and y = t2 is the line y = x

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: 2uzz – 6uzy – 8uyy и, (0, у) — 4у and u, (0, y) — eV. Is this equation elliptic, parabolic or…

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Q: I Eliminate the parameter in the parametric equations x=6+ sint, y=3+2 sint, for Osts, and describe…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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