Give two other polar coordinate representations of the point, one with r < 0 and one with r > 0. (r, 6) = (| (smaller r-value) (r, 0) = ) (larger r-value)

Q: Find three different pairs of parametric equations for the line segmentthat starts at (0, 0) and…

A: Direction ratio is = (6-0, 6-0)= (6,6) That is equivalent to (1,1) , (2,2) and (3,3)

Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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Q: Find parametric equations for the line passing through the points (10,3,1) and (8,6,-2) using the…

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Q: Find the polar coordinates of a point with Cartesian coordinates (x, y) %3D 2

A: Given: The given Cartesian coordinates are x, y=932, -92. Let the corresponding polar coordinates be…

Q: Find parametric equations that define the curve with a counter-clockwise orientation starting and…

A: To write the parametric equation of the given curve

Q: Find parametric equations for the line formed by the intersection of planes x + y - z = 29 and 3x -…

A: Consider the given:…

Q: The parametric equation of the line resulted from intersection of x-y 0, and z = 2 is %3D

A: Use the given planes.

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: Evaluate the by itercated integreal onverzting to polare coordinates. V16-n² 3nd ydn V16-パ 16-42 -4

A: This integration problem is solved by converting rectangular coordinate into polar coordinate

Q: Find parametric equations for the line of slope 2 that passes through the point (3, 5)

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Q: ii) Show that the polar equation of the top half of the parabola with Cartesian equation 1 y = v2x…

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Q: The parametric equations for the line tangent to curve of intersection of the surfaces x? + y? = 8,…

A: Given: The parametric equations for the line tangent to curve of intersection of the surfaces…

Q: Find the polar coordinates ( r , θ ) of a point with Cartesian coordinates ( x , y ) = ( 5 square…

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Q: Find the polar equation of the line y = 7x + 5 in terms of r and 0. (Use symbolic notation and…

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Q: Find parametric equations for a circle of radius 2, centered at (3, 5).

A: Solution:Given    radius of the circle=r=2centre of the circle(h,k)=(3,5)To find the parametric…

Q: x = 12 + 3 y = 2t [-2, 2]

A: Substitute t value

Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

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Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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Q: What are the rectangular coordinates of the point with polar coordinates (r, 0) = (-10, (x, y) Enter…

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Q: Find parametric equations and a parameter interval for the motionof a particle that starts at (a, 0)…

A: The given equation of circle at (a,0) is The general parametric equation of circle is where x,y…

Q: find parametric equations for the lines with the given description.  Perpendicular to the yz-plane,…

A: To find parametric equation perpendicular to yz plane passes through (0,0,2)

Q: Find parametric equations of the line containing the .point (2, 3,-1) and normal to the plane x+…

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Q: 4) The Cartesian coordinates for a point are (-1,-V3). Find polar co- ordinates (r, 6) for the point…

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Q: Find parametric equations for the path of a particle that moves along the curve y=x from (1, 1) to…

A: Given Parabola is y = x²

Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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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: Find the parametric equation of the line that passes through the point (4, -5, 0) and is…

A: We have to find the parametric  equation of the line.

Q: Find parametric equations for the line pass- ng through the point P(1, –1, 3) and perpen- licular to…

A: Given that: Line is passing through P(1,-1,3) and perpendicular to the plane:       4x+3y-2z=6.

Q: Find parametric equations for the line segment thatgoes from Q(0, 3) to P(-2, 0).

A: Given Q(0,3) and P(-2,0)

Q: Find parametric equations for the line through (-4,1,1) parallel to the x-axis. Let z = 1. y-z=…

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Q: Find the parametric equations for the line through the point (5, 2,9) and perpendicular to the plan…

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Q: What is the image equation of the line 2x+y-1=O under the rotation about the point (1, -1) at an…

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Q: Find three additional polar representations of the point, using -2x < 0 < 2x. (Enter your answers in…

A: r = 3            a vector of length '3'. θ = -3π4  '-ve' : Rotate clockwise by 3π4…

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x+2y…

A: Let F(x,y,z) define a surface that is differentiable at a point (x0,y0,z0), then the normal line to…

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

A: Given, the surfaces:               x+y2+2z=4,   x=1  Point: (1, 1, 1) Let         z = 1-2t

Q: y+3x-6z=8

A: answer is in next step

Q: Plot uie points with polar coordinates (3, –n) and -6, 3 *) using the pencil. 2 4. 6.

A: The polar co-ordinates are of the form (r,θ)  To plot the polar points it is necessary to find  θ…

Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)

A: Topic = Geometry

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

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Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: What are the polar coordinates (r, 0) of the point with Cartesian coordinates (x, y) = (V2, -V2) ? ㅇ…

A: Given cartesian coordinates:x,y=2,-2To find: polar coordinates r,θ

Q: Find parametric equations for the path of a particle that moves along the circle x 2  + (y - 1)2…

A: A particle that moves along the circle .

Q: Describe in polar coordinates the line segment that has "(x, y) = (3, 1)" and "(x, y) = (6, 2)" as…

A: The cartesian to polar form can be written as: (r,θ) Where, r=x2+y2 and θ=tan-1yx

Q: Find parametric equations of the line through (-3,1,1) that is parallel to 2i – 5j+k. -

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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: Provide parametric equations for the line passing through the coordinates (1, −3, 2) and…

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Q: Find the parametric equations of the line that is perpendicular to the plane 2x +y +3z = 4 and goes…

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Q: 5T and 3, 3 Plot the points with polar coordinates -5, using the pencil. 生3

A: Plot the points-5,-5π3 and 3,π6     Polar coordinatesx=r cosθy=r sinθ

Q: Find the distance between point A(3, 4, 4) and the line of parametric equations x = -1-t, y = -t, z…

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