Find parametric equations for the line segment joining the first point to the second point. (−4​,−8​,5​) and (−6,1,−5

Q: Find the parametric equation of the circle given by x2 +  y2 - 10y - 6x + 30 = 0, write it down as a…

A: Rewrite the equation as

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

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

A: Using chain rule.

Q: Find parametric equations for the line described below. The line through the point P(-6, 0, -6) and…

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

A: We have to find equation

Q: (a) Find the parametric equation of the line that contains the two points A = (-4,0, –1) and B (3,…

A: (a) Here first we find vector v = AB = OB-OA, then the equation of line will be (x, y, z) = A + t v…

Q: Complete the parametric equations for the line where the planes – 4

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Q: Find two different parametric equations for rectangular equation. y=-2x+4.

A: Two different parametric equations for the given rectangular equation y=-2x+4

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

A: Given:     Parametric equation       xt=-5t-2        yt=-8t-4 Slope of the line m=dydx…

Q: Complete the parametric equations of the line through the points (4,-8,1) and (-7,2,-2) x(t) = 4 –…

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Q: Find two different pairs of parametric equations for y = - 2x + 4.

A: The given equation is: y=-2x+4 Consider, x=t Then, y=-2t+4

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =…

A: We can find the point as below

Q: If a and b are fixed numbers, find parametric equations for the curve that consists of all possible…

A: Solution:GivenIf  a and b are fixed numbersTo find:The parametric equations for the curve…

Q: Find parametric equations for the line through (5, –7) and (2, – 13).

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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: Find the parametric equation of the line through the point ?(3,−2,1) parallel to the line ?=2−2?,…

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Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the…

A: Given :  parametric equations x=3t2 and y=−9t+18 to hit the ground.

Q: The midpoint of a line segment whose endpoints are P(3,2,1) and Q is M(2,3,–2). Find the parametric…

A: Given a line segment who endpoints are: P (3,2,1) and Q Let's say Q=( x, y, z) Now given that M (2,…

Q: 3. For each pair of parametric equations, find the rectangular-coordinate equation for the curve by…

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Q: Find parametric equations of the line passing through the points (8, -5, 1) and (-4, -6, 2). Provide…

A: The given points are 8,-5,1 and -4,-6,2. We have to find the equation of the line passing through…

Q: Construct parametric equations describing the graph of the line passing through the following…

A: Topic = Coordinate geometry

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

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Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve). x-…

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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: In two or more complete sentences, explain how to find the time it takes for a rocket following the…

A:

Q: Find the parametric equations of the line segment joining the points ?(−2,0,2) and Q(0,2,0). Note:…

A: As per given by the question, there are two point that assume P and Q and find the parametric…

Q: Find the parametric equation and symmetric equations for the line passing through the points (2, –2,…

A:

Q: In two or more complete sentences, explain how to find the time it takes for a rocket follow 3t and…

A: Introduction: A parametric equation is a type of equation that uses an independent variable called a…

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: Find two different sets of parametric equations for the rectangular equation y = x2 - 3.

A: Find two different sets of parametric equations for the rectangular equation y = x2 - 3

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 two different sets of parametric equations for the rectangular equation: y = 2x - 5.

A: Given, y=2x-5

Q: passes through (-2,-1) and perpendicular to the line y= 3.

A:

Q: Complete the parametric equations of the line through the point (3,-7,-2) and perpendicular to the…

A: Given that, the equation of the plane is     -3x-y+z=2  and the point (3,-7,-2) The direction vector…

Q: Complete the parametric equations of the line through the points (7,3,-5) and (0,6,1) x(t) = 7 - 7t…

A:

Q: Find the Cartesian equation and graph the curve whose parametric equations are: X=-2+3t Y=1-2t

A: The given parametric equations are X=-2+3t and Y=1-2t To find the cartesian equation of the given…

Q: Write parametric equations of the line through the points (-2,3,5) and (2,0,7). Please use the first…

A: The solution is in step 2

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: Find parametric equations for the line through the point P(2,3,4) parallel to the plane -x+5y-6z=10…

A: As per given by the question, There are given that the point P(2, 3, 4) and the line is,…

Q: Find a set of parametric equations for the rectangular equation. y=(x+3)2 /5

A: Refer to the question, we have to write the set of parametric equations for the rectangular equation…

Q: Parametric equations for the line through (5, 3, 7) and parallel to the line æ = 3 – t, y = 2, z = 8…

A:

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. (x(t) = 5 - 3t…

A: Please see the answer in step 2

Q: Find a set of parametric equations of the line segment from (-1,-3) to (6,-16)

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Q: Write parametric equations of the line through the points (-2,3,5) and (2,0,7). Please use the first…

A: We will solve the following.

Q: find parametric equations for the given curve. Line of slope 8 through (−4, 9)

A: Given slope and a point are: The standard equation of line having a slope, m and a point (x1,y1) is…

Q: 4. ( Consider points P(1,0, 1), Q(-2,1,3), and R(4,2,5). (a) Find the parametric equations of the…

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

A: The line segment joining the points (-7,-5,6) and (-9,2,-2)

Q: Consider the line li joining the points A(-5,-3,0) and B(7,1,4). 1. Find the parametric equation of…

A: As per our guideline we are allowed to do 1 question and 3 subparts at a time. Please post other…