Q3/ Find the real number a such that the line of parametric equations x = t, y = 2 - t, z = 3+t, te R is parallel the plane of equation to ax + 5y +z- 10 = 0. %3D

Q: List all of the points (x, y) on the parametric curve t° + 4t, y = 6t? where the tangent line is…

A: Given that, Parametric equation of the curve are following, x = t3 + 4t,      y = 6t2 and the…

Q: parametric

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Q: Find parametric equations for the line through (7,4, – 7) perpendicular to the plane 4x + 5y + 4z =…

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

A: 41. Here the given as  Now we let

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

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

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

A: Given:  a Point Po =(3, -1, 1)  and a vector perpendicular to the plane is…

Q: Q/ Find the parametric equation for the line through the point (0, 1, 2) that is perpendicular to…

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Q: Q1: Find the parametric rquations of the line that passes through the point P(4,2,-3) and Q(-3,2,2).…

A: We will solve the following

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

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Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost 0≤…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. If you…

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Q: I am working with cal 3. How do I find the parametric equations of the line for the intersection of…

A: The parametric equations of a line through the point (x0, y0, z0) and parallel to the direction…

Q: Find a set of parametric equations for the tangent line to the curve of intersection of the surfaces…

A: Given that z=x2+y2 and 3x−5y+7z=24 and point is 3,4,5. Let fx,y,z=x2+y2−z and gx,y,z=3x−5y+7z−24 We…

Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost…

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Q: Find a set of parametric equations for the line passing through the point (2, 0, 7) that is parallel…

A: The objective is to find a set of parametric equations for the line passing through the point 2,0,7…

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

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Find a set of parametric equations for the line passing through the point (7, o, 9) that is parallel…

A: Parametric equation of line in 3D

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: What are the parametric equations for the intersection of the planes x - y - z = 1 and 2x + 3y + z…

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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 parameterization for the line segment joining points (0,3) and (12,0) using the angle 0 in…

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Q: Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel…

A: topic - equation of a line

Q: 6. Find parametric equations for the line of intersection of the planes 2x – y + z = 4 and 3x + y +…

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Q: A line with parametric equations x = 10 + 2s, y = 5 + s, z = 2, seR, intersects a sphere with the…

A: The solution of given problem as follows :

Q: iminate the parameter in x = -t +2t and y =t-4 and then identify the parametric sketch its image in…

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Q: Find parametric equations for the line through (3, – 7,6) parallel to the x-axis. Let z = 6. X= , y…

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Q: nd a set of parametric equations for the line passing through the point (1, 0, 9) that is parallel…

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

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

A: To find distance.

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

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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: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Find a set of parametric equations for the line passing through the point (7, 0, 2) that is parallel…

A: We are asked to find the equation of the line.

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x + y +…

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

A: This question is based on 3-d line.

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

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Q: Determine the points of intersection of the line with parametric equations L: x= 2t + 7 , y= 3t - 1,…

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

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Q: 5. Find parametric equations for the line of intersection of the planes x + y = 1 and y +z = 1.

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Q: A line with parametric equations r = 10 + 2s, y = 5 + 5,2 = 2, sER, intersects a sphere with the…

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Q: (3) Find parametric equations for the line of intersection of the planes. x + y - z = 2 and y + z =…

A: Given equation of the planes are  x+y-z=2     y+z=0 we rewrite them as x+y-z-2=0, and    0x+y+z=0…

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

A: The objective is to sketch the curve generated by the parametric equation with the arrow as t…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.