B/convert the points below to the polar coord 1. (2,-2/3) 2. (-1, -1) 3. (-20,7)

Q: Convert the polar point (3, 47T/3) to an equivalent polar point where r <0 and 0 <0 < 2T. O A.…

A: given polar form of a  point is                                                           P=3, 4π3…

Q: 60. Show that the distance between two points P1(x1, y1) and P2(x2, y2) is invariant under rotation.…

A: For the points P1 and P2 , the distance between the points is given d(P1,P2)=(x2-x1)2+y2-y12 . For a…

Q: True or False? Do the polar coordinates (2, 7/6) and (-2, 7T/6) represent the same point?

A: Lets convert the given polar coordinates into cartesian coordinates and check The relation between…

Q: What are the corresponding polar coordinates for the Cartesian point (-4,-4√3)? (-8,5T) 8, O Option…

A: This question is based on conversion from Cartesian to polar coordinates.

Q: 2. In both parts, full marks will only be obtained if exact answers are given in terms of . √2 etc.…

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Q: Consider the point with Cartesian coordinates (2, 4) = (-4,4). Give two different representations of…

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Q: 9- Give five examples about application of polar coordinates in real life

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Q: Convert the polar coordinates (4, 315) to Cartesian coordinates. (2√3, -2) (2√2, -2√2) (2, -2√3)

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Q: What do I do after substituting the expressions for x and y from the rotation formulas into the…

A: The rotation formulas for co-ordinates are if the coordinate is (x,y) then rotate the axis into 90°…

Q: Which polar coordinates represent the same point as (4, –1/2)? (Select all that apply.) (4, –5x/2)…

A: Polar coordinate

Q: Sketch a graph of the polar equation. r- -2(1 + sin(0)) n/2 7/2 4. 2 .4 4 -2 2 4. -2 -4 n/2 7/2 4. 4…

A: Given, r= -2(1+ sin theta) Plotting for the given polar coordinates we have,

Q: All the polar cordinates of the point (4,) are: ()(+2nx) and (-4, + 2nn) ()(4+2nn) and (-4, n) (e)…

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

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Q: Find 3 different pairs of polar coordinates that describe the same point. 7) (3, 30°) 8) 4, 4

A: we have to find 3 different pairs of polar coordinates that descibes the same point. 7)  3,30° 8)…

Q: 14. Restate -4x = -5y in polar form. Present your answer solved for r.

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Q: Find in polar Coordinatest X= - 3

A: Change rectangular coordinates in to polar coordinates

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: Q2:- find the polar coordinates for the following points. 4:- (2,2 3) 10:- (-3,3/3) 11:-(1,1)…

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Q: Please help me with this precalc homework question

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Q: Convert the polar point (1,57/3) to an equivalent polar point where r < 0 and 0 <0 < 2T. O A. (1,…

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Q: 15, Зп /2) 3TT Convert the polar coordinates to rectangula rcoordinates (5, 3n/2).

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Q: Now calculate the second part of the polar coordinate. What is the distance from the origin to…

A: consider the given points, 0,0 and 5,-5 draw the points on the coordinates axis as follows, the…

Q: Determine which point in the figure, P, Q, R, or S, has the given polar coordinates. (4. ) Зл…

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Q: 2. Give 3 other representation of the polar coordinate (changing the sign of r at least once). (2)

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Q: All the polar coordinates of the point (4,-) are: (6) (4품 (-4,품+2nm) (4) (4.5- + 2nn) and (-4, + 2nn…

A: Find the polar coordinates of the point (4,π/6).

Q: Determine two pairs of polar coordinates for the point with 0° < 0 < 360°. (-3-2, -3 2) O (6, 225°),…

A: We know that cartesian (x,y) in polar form is (r,θ)Where r=x2+y2 and θ=tan-1(yx)So,…

Q: Plot the polar point. (+.똥) 2 2 3 4 3 4 2 2 2 3 4 5 2 3 4 2. 2.

A: 1,5π6

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 line segment starting at P(3, –4) and ending at Q(-5,2).

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

Q: 6. Convert 5,5/3] to polar coordinates with r positive and between 0 and 27

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Q: ン Plot the point whose polar coordinates are 4, 5+ 4 2 -5 -4 -3 -2 -1 4 5 -1 -2 -3 3.

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Q: All the polar coordinates of the point (4, (*) are: 3.

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Q: 5. Given the point P(-3,). Find 2 other polar coordinate representations of P with r>0 and two with…

A: give that polar co-ordinate so simple use x=r. Cos(theta) and y=r. Sin(theta) To convert in a…

Q: 6 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers…

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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: Express z = V3 + V3i in polar form.

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Give all possible polar coordinates for the point (4, –4/3) given in rectangular coordinates. 2n +…

A: Here, we will use  the formulas x=rcosθ and y=rsinθ.

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: 1. Convert the Cartesian coordinate (12,5) to polarcoordinate.

A: Given the cartesian co-ordinate(x,y)=(12,5)

Q: Write polar form of z=-2-i V5 (cos2.68 – i sin2.68) 5(cos2.68 – i sin2.68) V5 (cos2.68 + i sin2.68)…

A: The objective is to write the polar form of complex number z=-2-i

Q: Find a set of parametric equations for the line segment from (-1,5) to (9,–4).

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Q: What are the polar coordinates of the rectangular coordinates (2, –2/3)? (2, ) 11T 6 (4, ) 57 3 (4,…

A: we have given the rectangular coordinates which is in quadrant 4 . We have to find the polar…

Q: Convert the polar point (2, 27/3) to an equivalent polar point where r < 0 and 0 < 0 < 2ñ. OA (2, —…

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Q: 5. Given the point P(-3,). Find 2 other polar coordinate representations of P with r >0 and two with…

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Q: Find the polar equation of the line y = 10x + 9 in terms of r and 0. (Use symbolic notation and…

A: topic - conversion of cartesian equation to polar equation

Q: Evaluate 4-22 dydx + dydx using polar coordinates.

A: We have to find the double integral using polar coordinates.

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: The rotation about the origin at an angle e=180° is defined by (ху)-(ху) (ху)-(ух) O (x.y)->(x,-y)…

A: The rotation about the origin at an angle 180° is defined by :-

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

A: To determine: The additional three polar representation of the point,  using

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.