Consider the line in R? given by the parametric equation (a, y) = (2, -3) + t(-2, -9) What is the slope-intercept equation of this line? Answer: y = FORMATTING: Give exact coefficients, not decimal approximations. In Möbius, recall that is written a/b.

Q: Find two different parametric equations for the rectangular equation given. y=x* +3 (a) Substitute…

A:

Q: Find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

A: To find the First and Second Derivate of y with respect to x from parametric equations. x=1/(t-5)3…

Q: a) Find the best straight line fit to the given data points (-3,7), (1,–1),and (3,–7). b) Find the…

A:

Q: Find a set of symmetric equations and a set of parametric equations for the line tangent to the…

A:

Q: Find parametric equation for the lines .. The line through (0, -7, 0) perpendicular to the plane x +…

A: A parametric equation of a line can be written if a point on the line is given and a vector parallel…

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation: x (t) = –t =…

A:

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: Find the First and Second Derivate of y with respect to x from parametric equations. x=3-t5;y=7t-5

A:

Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…

A:

Q: The parametric equation of the line through the origin that is parallel to the line given by x = t,…

A:

Q: Consider the lines L and L2 whose symmetric equations are x – 1 L1: y + 1 z + 1 y – 3 z + 4 L2 : 4 –…

A:

Q: Consider two non-parallel lines , l1 & l2, in R³ with parametric equations l1: P+ tu l2: Q + tv.…

A:

Q: Find parametric equations for the line through P = (2, 5) perpendicular to the line y = 4x − 3.

A: Given line, y = 4x − 3. To find the parametric equations for the line through (2,5) and…

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

A:

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

A:

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: 8. x 2t2, y =t + 1 ||

A: We use substitution method to eliminate parameter

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: Saved Match the parametric equations with the corresponding plane curve displayed. x=t-75 ly=? 130…

A: Given : Parametric equations x = t - 75y = t3   To find : Correct graph of the given parametric…

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

A: Here we have to find the equation of the tangent line.

Q: Find the perpendicular distance from the line given oy the parametric equations: by, (-3,3,3) a(t)=…

A:

Q: Find dy/dx and d'y/dx", and find the slope and concavity (if possible) at the given value of the…

A: We will solve the problem

Q: The angle and the parametric equations for the intersect line between planes a + y = 1, and 2r+y-2z…

A: Given, x+y=1, 2x+y-2z=2 we know angle between two plane is…

Q: You are given the parametric equations x=10−t^2 , y=t^3−12t  List all of the points (x,y) where the…

A:

Q: Find parametric equations for the lines in The line through (0, -7, 0) perpendicular to the plane x…

A: we know that equation of line in parametric form which passes through pointx1,y1,z1 and…

Q: Find parametric equations, in terms of t, of the line passing through (2, 2, 12) and parallel to the…

A: Given: The line is passing through 2,2,12. Also, it is parallel to the line: x=5-9ty=2z=4+t The…

Q: Given two points P(6,3, 1) and Q(5,0,0), find the parametric equations for a smooth curve, C:x = 5+…

A: C : x = 5 + z        y  = 3z^2

Q: Find the distance between the skew lines with parametric equations x = 3 + t, y = 1 + 6t, z = 2t,…

A: I am attaching image so that you understand each and every step.

Q: Find the parametric equations of the line segment through the origin and perpendicular to the plane…

A: Given: Given equation of the plane is x-2y+3z=5 We want to find the parametric equations of the line…

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. Sx (t) = -t ly…

A: See attached file for a step by step explanation to find the Cartesian equation.

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

A:

Q: x = 1 + 4t,    y = 3 − t2

A: Here we extract t from the 1st equation then put this into second equation.

Q: The parametric equations r = 3 - t, y = 2t + 4, 0 <t < 2 describes motion along a certain line…

A:

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: Find parametric equations for the line segment from (8, 3, 1) to (3, 5, -2). (Use t parameter t.)…

A:

Q: Sketch the curve represented by the parametric equations Lindices Orientation of the curve), and…

A: Topic :- function

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

A: The solution is given as follows

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: What is the parametric equation for the line through the point (1,2, 3) paralkel to the y- axis? (a)…

A:

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: Find the parametric equations for the line through the point P=(-5,4,-1) that is perpendicular to…

A: The direction vector for this line is v=2,-1,-5 and it must pass through the point -5,4,-1. Thus we…

Q: Use a graphing device to draw the curve represented by the parametric equations. x = 18 sin(5t), y =…

A:

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 2x + y…

A:

Q: Consider the curve whose parametric equations are x (t) = 2t? – 4t + 2 and y (t) = 2t – 8t? + 8. At…

A:

Q: Q. Find parametric equation of the line perpendicular to the lines l1: x = 1- 1, y=t, 12 : z = 2t –1…

A:

Q: What is the parametric equations of the line through (2,2,2) parallel to the x- axis ? a) x = 2, y =…

A: 7) The Parametric equations of the line through (2, 2, 2)  parallel to x-axis is given…

Q: The angle and the parametric equations for the intersect line between planes a+y = 1, and 2r +y - 2z…

A:

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A:

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: Sketch the curve represented by the parametric equations x = √t, y = t − 5 (indicate the orientation…

A: Given parametric equation, x=t         ...(1)y=t-5       ...(2)