6. Find the parametric equations of the line along which the following planes intersect. t: x +y + 2z = 7 L: x + 2y - z = 8

Q: Find parametric equations for the line in which the planes, x+2y-2z=5 and 5x-2y-z=0 intersects. Show…

A: Given, The equation of intersecting planes, x+2y-2z=5 and 5x-2y-z=0.   We have, x + 2y = 2z + 5 and…

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

A:

Q: Use t = 4x + 1 to write the parametric equations that can represent y = 12x + 5. Ox-y=31-2 Ox-4:…

A: Given that:t=4x+1To find parametric equation for y=12x+5

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

A:

Q: Find a set of parametric equations for the rectangular equation y=4x-2.

A: Given a rectangular equationy=4x−2To find: parametric equations

Q: Find the parametric equations for the line in which the planes x-2y+4z=2 and x+2y-2z=6 intersects

A:

Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

A:

Q: Write parametric equations of the line L through the point P: (2, 0, -3) and parallel to the vector…

A:

Q: Find parametric equations for the line of slope 6 that passes through the point (7,9). (Use t as…

A:

Q: x = 4t – t°, y = 2 – 3t

A: We have the parametric equation: x = 4t - t3 ........................... (1) y = 2 - 3t…

Q: When the polynomial P(x), where P(x) = ax² + 5x² + 2x, is divided by x - 1 the remainder is 4. The…

A: Given: P(x) = ax3 + 5x2 + 2x when divided by x-1 gives remainder 4       To determine: The value of…

Q: Find parametric equations for the line in which the planes x + 2y + z = 1 and x - y + 2z =-8…

A: x + 2y + z = 1 and x - y + 2z =-8 are the two planes.Let z=t So, the equations become: