Complete the parametric equations of the line through the point (8,6,-2) and perpendicular to the plane z – 7y – z = - 3 x(t) = 8 +t y(t) = %3D z(t) =

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

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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: Find a rectangular equation for the curve with the given parametric equations. x = 2 sin(t),y = 2…

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Q: 2. In the parametric equation, x = 2t, y = 3t 1, fill the table below. t 0 1 2 3 4 5 X x = 2t y y =…

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Q: Which is a parametric equation for the curve y = 9 – OA. c(t) = (t, 2 + t) OB. c(t) = (t, 9 – 2t)…

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Q: Find the parametric equations for the lines. Where, the line through the point P (3, -4, -1)…

A: Topic = Vector

Q: 2. Given the parametric equations: x = t + sin t,y = t- cost, findand

A: Solution...

Q: find the parametric equations of the line through (-3,0,2) that is parallel to 3i-4j+k. x(t)= y(t)=…

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Q: Find the parametric equation of x, y, z where : . z2 = x2 + y2 p. 9 = x2 + y² Nhat is the name of…

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Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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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: 6. Find the projection of v = | -7 onto the -2 line l of R given by the parametric equation l = tủ,…

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Q: 6. Find the parametric equations of the line along which the following planes intersect. t: x +y +…

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Q: 17. Find the cartesian equation of the parametric curvex =1+e²*, y= e'. (a) z² = y? – 1 (b) 7 = x² –…

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Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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Q: Find the slope of the parametric equations z = 2 cos(3t) – 4 sin(3t), y = 3 tan(6t) at the point t =…

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Q: Q3/ Find the real number such that the line of parametric equations x = t, y = 2 - t, z= 3+t, is ax…

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Q: In three space, find the parametric equations of the curve C of intersection of the cylinder S: a +…

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Q: Find the real number a such that the line of parametric equations x = t, y = 2 – t, z = 3 + t, te R…

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Q: 2. Find the point(s) of intersection of the following two parametric curves, by first eliminating…

A: From x=t+5 we get t=x-5 Then we plug this in the y=t2 So, the equation is: y=(x-5)2   We can plug…

Q: 19. Find y' in the parametric equations x =, t-1 t+1 A) (f – 1) 7-1 B) (1+ 1)? 2 +1 C) (1+1)? t +1…

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Q: Consider the graph of r(t) = 2t^2i + t^2j + t^3 k Determine parametric equations of the tangent line…

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Q: d'y and dx² dy 23 Find -in terms of t for each of the following parametric equations. dx a x= -3, y…

A: d. Given parametric equations: x=et  y=et-e-t To find - dydx  and d2ydx2 which  can be given as-…

Q: Find a parametric representation of the solution set of the linear equation.x + y + z = 1

A: Consider the given linear equation  x + y + z = 1 We have one equation and three unknown(x, y, z).…

Q: Eliminate the parameter in the parametric equations æ(t) = /t – 1 and y(t) = -8t + 6 to find a…

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Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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Q: . Find a cartesian equation for the given parametric equations: a) x = t2 – 4 and y =t+1 b) x = 2…

A: Eliminating t

Q: A cartesian equation of the parametric curve x = 6t + 11E - 10, y = E is O A No solution OB.…

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Q: Find the 1st  and 2nd Derivate of y with respect to x from parametric equations.     x=(t-2)5/2…

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Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: Which of the following is Parametric equations for the line passing through the origin and A(1, 0,…

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Q: Find the parametric equation of the line of intersection of two planes correctly: P1:x+3y+5z=0 and…

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Q: Complete the parametric equations of the line through the point (4,-8,3) and perpendicular to the…

A: See this solution in below

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: Eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint. 2 x2 + y2 = 36 x2…

A: We have to eliminate the parameter, t, in the parametric equations, x = 6cost and y = 3sint.

Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

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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: Find parametric equations of the line through (-2, –1, 3) that is parallel to 2i – 3j+k. x(t) = %3D…

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Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

A: Given parametric equations, x=et,y=e3t+4 To find y.

Q: Find the parametric equation for the line where the planes 4x – 6y + 8z = - 36 and – 6y + z = – 15…

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Q: Find the equation of the tangent line(s) to the given set of parametric equations x = t² + 5t – 6 y…

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Q: 12. Sketch the plane curve defined by the given parametric equations, and find an x-y equation for…

A: The given parametric equations are,

Q: A cartesian equation of the parametric curve x= 12t + 13 /t – 14, y = vt is OA. X = [ 3y – 2 [ 4y +…

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

Q: Which of the following is the parametric equation of the line through the point (1,2,3) and parallel…

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Q: Find a set of parametric equations for the curve of intersection of a paraboloid x² + (y − 2)² = z…

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Q: B Find the parametric equation of the plane passes through the point (-3,0,7) and perpendicular to…

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Q: A cartesian equation of the parametric curve x = 12t + 11 E - 5, y = JE is OAx = (3y – 1 ( 4y +. =…

A: x=12t+11t-5and y=tput value of t=y in x

Q: Eliminate the parameter in the parametric equations x(t) = –7t – 2 and y(t) = Vt – 8 to find a…

A: givenx(t)=-7t-2..................(i)y(t)=t-8..................(ii)we can rewrite 2nd equation…

Q: 6. Find the projection of u = -7 onto the -2 line e of R given by the parametric equation l = tũ, -1…

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Q: 17. If y = tx, where t is the parameter, what are the parametric equations of the curve x' + y' = 8?…

A: solution:-y=txx3+y3=8x3+tx3=8x31+t3=8x3=81+t3x=21+t33

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.