2. Find T, N, and K, the center of the osculating circle, the equations of the osculating, rectifying and normal planes, and a parametric equation for the osculating circle given the plane curve r(t) = 2t³i – 3t?j + 6tk; at t=1.

Q: The parametric equations for a line L₁ are as follows: x=-4+6t y=3-4t z = 1+4t Let L₂ be the line…

A: The given problem is to find the point P on the line L2. Given Line L2 is parallel to line L1 and…

Q: 3. Find parametric equations for the graph of a circle centered at (-3,1) and radius 3.

A: Let's find parametric equations for the graph.

Q: 1. For the line through the points A(-3, 8, -4) and B(1, 0, 8) a. Find the parametric equations for…

A:

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

A: The given parametric equation is: x=3+t and y=t2-5t, 0≤t≤6 Find the value of t, where y=0:…

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

A: The given parametric equations  and .We have find the rectangular equation and sketch its graph with…

Q: The parametric equations for a line L₁ are as follows: x=-5-6t y = 1+6t Z=-2-4t Let L2 be the line…

A:

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: Find a set of parametric equations of the line with the given characteristics. (Use t for the…

A:

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

A: To sketch the curve represented by the parametric equations, andto write the corresponding…

Q: 13. Given the points A(3,5) and B( – 3, – 7), find b. the parametric equations of the line.

A: