EXAMPLE 3 Parametric equations of lines a. Consider the parametric equations x = -2 + 3t, y = 4 – 6t, for – 0

Q: -38, find parametric equations for the given curve. 3x 34. Segment joining (-3,0) and (0, 4)

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Q: Find the parametric equations of the line that goes through the point P(−2, 0, 5) and is parallel to…

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Q: The following are parametric equations of the line through (x1, y1) and (x2, y2): x = x1 + t(x2 -…

A: From x = x1 + t(x2 - x1) we get: x-x1=tx2-x1 t=x-x1x2-x1   From y = y1 + t(y2 - y1) we get:…

Q: Find parametric equations for the line segment joining the first point to the second point. (-4, -…

A: Step-1Given:-(-4,-5,6) and (-7,1,-1)find parametic equations for the line segment joining the first…

Q: D) Find the parametric and symmetric equations of the line through the points (1,2,0) fic and sym of…

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Q: Can someone help me out with this question?

A: On a horizontal line, the y value is fixed.  And x values are changing.

Q: Example 3: Find the parametric and symmetric equations of the line passing through the point (-3, 5,…

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Q: 8. Let, x - 1- and y -1+1 a) Complete the chart and sketch the curve represented by the parametric…

A: The given parametric equations are x=1-t2 and y=1+t. Complete the given table as follows. t x y…

Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: 16. Consider the points A(-1,2,3) and B(4,-1,2). a. Determine the parametric and symmetric equations…

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Q: 4. The trajectory of the spaceship Excelsior during the first 5 minutes of the launch can be…

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Q: Find parametric equations for the line through P = (4, 0, 3) and Q = (3, 5, −5). Use them to find…

A: Given P (4,0,3) and Q (3,5,-5) So, r0=4,0,3 v=3,5,-5-4,0,3  =-1,5,-8 The parametric equation is…

Q: Find a parametric equations representation for the curve (x + 3) 2 . (y – 2)² 1 4

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Q: (c) Find parametric equations of a line through the origin and parallel to the line I =1-t, y = 2, z…

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Q: Find parametric equations for the line that passes through the point (6, 6) and is parallel to the…

A: parallel to the line y = −5/2x − 3.So slope= -5/2 In vector form: <2,-5>

Q: Suppose parametric equations for the line segment between (6, 2) and (1, - 5) have the form: S(t) =…

A: Image is attached with detailed solution.

Q: The graph of the curve described by the parametric equations x = 4t −1, y = 3t + 2 is a straight…

A: For a line passing through the point (a,b) and parallel to the vector (c,d) its parametric equation…

Q: Find parametric equations for the line segment joining the first point to the second point. (- 3, –…

A: equation of the segment (x_1,y_1,z_1) and (x_2,y_2,z_2) is  x-x_1/(x_2-x_1) = y-y_1/(y_2-y_1) =…

Q: The parametric equation of a line passing through A(1,1,1) and B(-1,2,0) is

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Q: The parametric equations for a line L7 are as follows: x = 4-6t y = -3-6t z = 2+4t Let L2 be the…

A: Solved below

Q: find a parametric equation for the line that is perpendicularto the graph of the given equation at…

A: We have to find parametric equation for the line that is perpendicular to the graph of the given…

Q: 9.1.22. Find parametric equations describing the given curve. The line segment from (3, 1) to (1, 3)

A: To determine the coordinates (x,y) as functions of a parameter t , satisfying the given conditions.

Q: The following are parametric equations of the line through (x1, y1) and (x2, y2):x = x1 + t(x2 - x1)…

A: Given: the parametric equations of the line through (x1, y1) and (x2, y2)x=x1+t…

Q: Suppose parametric equations for the line segment between (1,2) and (7,-10) have the form:…

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Q: 5. Find the parametric equation of the line passing in R³ passing through the points (3, 1,0) and…

A: Directly use the formula for the parametric equation in R3

Q: Find parametric equations for the line segment joining the first point to the second point. (-7, -…

A: Let us assume the first point as r0 and second point as r1 , that is , r0=-7,-8,4r1=-9,6,-4 Firstly…

Q: c2 lines 1 Determine the parametric equations of the position of a particle with constant velocity…

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Q: B) (10 M) Find the parametric equation of the line through the point p (-2, 0, 5)- and parallel to…

A: Let's find.

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

A: Consider the provided question, (a)

Q: (c) Find parametric equations to represent the red line in the graph below. 10 (-2, 7) (6, 3) -5 10…

A: This is a problem related to equation of line. Based on the general formula of line equation we will…

Q: Find the parametric equations of the line in R3 that passes through the points (-1, 2, -1) and (1,…

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Q: find a parametric equation for the line that is perpendicularto the graph of the given equation at…

A: Given: x2+y2=25; -3,4 for finding equation of line that is perpendicular to given curve at given…

Q: Find parametric equations for the line segment joining the first point to the second point. (0,0,0)…

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Q: The set of parametric equations represents a line. Without eliminating the parameter, find the slope…

A: Differentiate the first equation wrt t: x = 8 - 3t…

Q: I Let C be the line segment from A(0,-3) to B(-4, 1). a) Sketch the graph of C, and find parametric…

A: The parametric equation of a line includes a real parameter t. It is of the form  x=xt,y=yt A line…

Q: 10 + x 2 4 6 8 10 -10 -8 -6 -4 -2 -2 -6 -8 -10+ The curve above is defined by which of the following…

A: we will initially find the vertex of the parabola and then find the equation of parabola then…

Q: (a) Find the parametric equations for the line segment that joins P(1, 0, 1) to Q(2, 3, 1).

A: Given, P(1,01), Q(2,3,1)

Q: Find the parametric equations of the line L2 that passes through the point P(-9, 1, -6) and is…

A: Given that the line L2 passes through the point -9,1,-6 and is parallel to the line given parametric…

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

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Q: Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and…

A: Here, the given equation of the line is: x=1+3t,y=-1-2t,z=3+t Therefore, the direction vector is:…

Q: A line given by the parametric equations x 2+3t, y 1+t, z 5+4t, forteR Which of the following is an…

A: Use for mula to calculate

Q: 17. Let L be the line determined by the equation r(t) = (2 + 7t, 3 – 5t, 2t), –∞ < t < . (a) Give…

A: given equation is                                              r(t)=2+7t, 3-5t, 2t, -∞&lt;t&lt;∞ ℒ…

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

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Q: Find parametric equations for the line that passes through the point (3, 6) and is parallel to the…

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Q: Suppose parametric equations for the line segment between (-2,-5) and (0, - 5) have the form: [ r(t)…

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Q: Find parametric equations for the line segment joining the first point to the second point.…

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Q: Find a rectangular equation equivalent to the given pair of parametric equations. x- 5t-2, y=t;…

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Q: 3. Find the Parametric Equations for the Curve. The line passing through (2, 6) and (3, 9).

A: Given, A line passing passing through the points 2, 6  and 3, 9 We have to write the parametric…