Write the Cartesian equation of the line given by the parametric equations æ(t) y(t) z(t) 5 – 4t -1- 6t . 6t Enter the terms of the equation in alphabetic order (that is, first the term with x, followed by the term with y and then the term with z.

Q: nd a rectangular equation equivalent to the given pair of parametric equations. x= 7t-2, y=t; -3sts3

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Q: find parametric equations for the given curve.  4x − y 2 = 5

A: Given curve is 4x − y 2 = 5 To find the parametric equations :-

Q: The following are parametric equations of the line through (x1, y1) and (x2, y2): x = x1 + t(x2 -…

A: From x = x1 + t(x2 - x1) we get: x-x1=tx2-x1 t=x-x1x2-x1   From y = y1 + t(y2 - y1) we get:…

Q: Complete the parametric equations for the line where the planes - 5x – 2y + 2z = 2 and - 13x + 10y +…

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Q: Find the requested equations below Parametric equations of the line containing the points P(-1, -1,…

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Q: A lizard moves through the plane with its position at t seconds given by the parametric equations…

A: →cos(nπ) = (-1)n  →First find the inital co-ordinates at t = 0. Now, we have to find the time at…

Q: h) Find a parametric representation of the Parabolic equation z = 9(x² + y²)

A: Parametric representation of the Parabolic equation z = 9(x² + y²) will be cartesian coordinates as…

Q: (d) Find the parametric equation for the line segment from point P(1,3, 2) and Q(1, –1,6).

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Q: Complete the parametric equations of the line through the points (4,-8,1) and (-7,2,-2) x(t) = 4 –…

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Q: Find a parametric equation for the line that passes through points A (3,-2,4) and B (5,6,-2). x = 3+…

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Q: 4

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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: Rewrite the parametric equation as a Cartesian linear equation by building an x-y table. Įx(t) ly(t)…

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Q: 7) Find a rectangular equation equivalent to the given pair of parametric equations. x=2t-1 „y=t^2;…

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Q: Find the parametric equation of the line that passes through P(1, 0, -3) and is parallel to the line…

A: Given: We have to find the parametric equation of the line that passes through the point P(1, 0, -3)…

Q: Find the parametric equations of the line r = ⟨1, 2, 3⟩ + t(4, 0, -6⟩.

A: Given: r→=1,2,3+t4,0,-6 for any given vector equation of line r→=a,b,c+tp,q,r, parametric equation…

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: Find parametric equations for the line through (-2, 0, 4) parallel to v = 2i + 4j - 2k

A: we know that parametric equation of line which passes through point x0,y0,z0 and parallel to vector…

Q: (a) Write the parametric equations of the line through the point (7,3,0) and perpendicular to the…

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Q: Find the point P of intersection between the line x(t) = (-3,-2, 1) + t (1, 1, -3) and the plane 4z…

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Q: Eliminate the parameter in the parametric equations x(t) = e³t and y(t) = 3e' to a Cartesian form of…

A: Givenx(t)=e3t    ....(1)y(t)=3et     ....(2)

Q: 5. Graph and find the parametric equations for the line through the point (1, -2, 3) and parallel to…

A: This question is about application line in 3d

Q: The following are parametric equations of the line through (x1, y1) and (x2, y2):x = x1 + t(x2 - x1)…

A: Given: the parametric equations of the line through (x1, y1) and (x2, y2)x=x1+t…

Q: 3. What is the parametric equation for the line through the point (1 ,2, 3) parallel to the x- axis?…

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Q: Pls help ASAP

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

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Q: Write the parametric equations x=3t−1, y=3−3t as a function of x in the Cartesian form.y=

A: Given: The parametric equations x=3t-1 and y=3-3t

Q: Find parametric equations for the line described below. The line through the point P(3, 2, 4) and…

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Q: B) (10 M) Find the parametric equation of the line through the point p (-2, 0, 5)- and parallel to…

A: Let's find.

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

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

Q: Q.1 Find the parametric equation of the line that 2)Passes point (1,3,7) and orthogonal to xy-…

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

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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 a parametric equation for the line that is perpendicularto the graph of the given equation at…

A: Given: x2+y2=25; -3,4 for finding equation of line that is perpendicular to given curve at given…

Q: 1/a- Find the parametric equation of the line passing through Po(1,3,4) parallel to 21-j+5k b- Find…

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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: Complete the parametric equations of the line through the points (7,3,-5) and (0,6,1) x(t) = 7 - 7t…

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Q: Find the parametric equations for the line of intersection of the planes x+y-z = -20 and 9.x + 3y +…

A: Given planes, x+y-z=-20 and 9x+3y+z=16. The objective is to find the parametric equations for the…

Q: Write the parametric equations x=2sinθ,y=9cosθ,0≤θ≤πx=2sin⁡θ,y=9cos⁡θ,0≤θ≤π in the given…

A: Given information: The parametric equations are x=2sinθ            y=9cosθ             Can be…

Q: Find the parametric equations for the line passing through points P(2, -3, 1) and Q(4, 1, -4)

A: Given points are  P2,-3,1,Q4,1,-4

Q: Find the parametric equations of the line L2 that passes through the point P(-9, 1, -6) and is…

A: Given that the line L2 passes through the point -9,1,-6 and is parallel to the line given parametric…

Q: Find the parametric equation for the line where the planes - 3y = 3 and -r - y+ 5z = - 9 intersect.…

A: The intersection of two plane is a line or the overlapping plane. Direction of the line is…

Q: 2. Find the parametric equations of the line through (0, 3) that is parallel to the line x= -5 + t y…

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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)…

Q: Complete the parametric equations of the line through the point (8,6,-2) and perpendicular to the…

A: equation of line passing passing through the point 8,6,-2 and perpendicular to the plane , x-7y-z=-3

Q: Provide parametric equations for the line passing through the coordinates (1, −3, 2) and…

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Q: Find the parametric equation of the line passing through P (1, 2, 3) and perpendicular to the lines…

A: Given:  r1= (2+t)i + (1+2t)kr2=(-t)i + (1-6t)j - (2t)k

Q: Find parametric equations for the line described below. The line through the points P(- 1, - 1,4)…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.