Convert the point (−18, 30°) to rectangular coordinates. (x,y) = (-9 squareroot 3 , -9)      State two other ordered pairs in polar coordinates that name the same point. (Let r be positive and −360∘ ≤ θ ≤ 360∘.) (r,θ)= (______)        smallest angle (r,θ)= (______)        largest angle

Q: The polar coordinates (r,0) of the point whose rectangular coordinate is (2,-2) are Select one:…

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Q: Decide if the points given in polar coordinates are the same. If they are the same, enter T. If they…

A: A)6, π3  (quadrant-1)-6,-π3 -6 cosπ3, 6 sinπ3(quadrant-2)B)2, 35π4=2, 3π4 (quadrant-2)2, -35π42…

Q: The cartesian coordinates of the polar point (1, n) is (a) (-1,0) (b) (1,0) (c) (0, 1) (d) (0,-1)…

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Q: The wind is blowing at 10 knots. Sailboat racers look for a sailing angle to the 10-knot wind that…

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Q: Find polar coordinates of the point that has rectangular coordinates (4/3, –4). Write your answer…

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Q: True or False: The polar coordinate (2, 57/6) and the rectangular coordinate (-V3, 1) represent the…

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Q: L_J_. Q P' 5 -4 -B -2 -1 -1+ 4 -3- Slדר R This image is rotated how many degrees around the origin?

A: A quadrilateral PQRS and image P'Q'R'S' are shown in the figure. The coordinates of PQRS are, Px1,…

Q: Test for symmetry with respect to a. the polar axis, b. the line 0 =, and c. the pole. 2' r= 5+3 cos…

A: We have to check the symmetry for the given curve…

Q: Convert regular coordinates to polar (r > 0 and 0 ≤ θ < 2π) A. (1,-√3) B. (-√3/2, 1/2)

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Q: or the pair of polar coordinates, (a) plot the point, (b) givề tWo Sther pairs Ul pulai COUI lates…

A: Here, the given polar coordinate is: -2,π6

Q: In a polar coordinate system, we select a point, called the pole, and then a ray with vertex at the…

A: First we will plot some points on the polar grid by taking some suitable values of angle and then…

Q: Convert the point (-V3, -V3) in rectangular coordinates to polar coordinates that satisfies T< 0,-…

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Q: The rectangular coordinates of a point are given by (x, 4), and its polar coordinates are (r, t13).…

A: Given, The rectangular coordinate of a point  = x, 4  Polar coordinates of a point = r, π3  We have…

Q: Felow are the polar coordinates. Find the Cartesian Coordinates. 5, 2

A: Topic:- coordinate system The polar coordinates is 5,3π2. The relationship between the cartesian…

Q: Solve parts a) and b). a) Find all polar coordinate representations (r.0) where 0ses 2n of the…

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Q: The polar coordinates of a point are given. Plot the point. (s, ) T/2 л/2 6. 6. 4 4 2 -6 -4 -2 2 -6…

A: Explained below...

Q: The cartesian coordinates of the polar point (1,7) is (a) (-1,0) (b) (1,0) (c) (0,1) (d) (0,–1) (e)…

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Q: The polar coordinates of a point are given. Plot the point. (9. ) n/2 10 7/2 10- 5 -5 -5 -5 - 10 T/2…

A: Consider the polar coordinate  9,5π4

Q: A point has Cartesian coordinates (a,-b) where a and b are positive numbers. The (r,0) Which of the…

A: Since a and b are positive so x coordinate is positive and y coordinate is neagtive

Q: The polar coordinates of the point whose rectangular coordinate (-3,33) is (6,47/ 3)or(6,–27/3)…

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Q: The polar coordinates of a point are given. Plot the point. 7/2 n/2 3 3 2 21 0. 3 -3 -2 -1 1 2 13 -2…

A: Explanation of the answer is as follows

Q: In polar coordinates, the points (r, 0) and (-r,0) are symmetric with respect to which of the…

A: Consider the following points:        r,θ,-r,θ

Q: Q1/ Which polar coordinate pairs label the same point? A ( 3, 0) ,(-3,0) , (2 , 27/3) , (2 , 1/3)

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Q: Convert the rectangular coordinates to polar coordinates with r > 0 and 0 < 0 < 2n. (v3. -3) (r, 0)…

A: Topic - conversion of rectangular coordinates to polar coordinates

Q: est for symmetry with respect to the line  θ = π/2,  the polar axis, and the pole. (Select all that…

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Q: Given the cartesian coordinate (sqrt3, -1) a) Find the polar coordinate (r,theta), where r > 0 and…

A: We need to find polar coordinates.

Q: The Cartesian coordinates of a point are given. (a) (2V3, 2) (1) Find polar coordinates (r, 8) of…

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Q: All the polar coordinates of the potnt are: (o (4승+2nn) and (0)(4승+2nm) and + 2nn (e) None (o(+동+…

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Q: The cartesian coordinates of the polar point (1,n) is (a) (-1,0) (b) (1,0) (c) (0.1) (d) (0,-1) None…

A: uthoring guidelines:…

Q: The cartesiam coordinates of the polar point (-1,n) is (a) (-1,0) (b) (1,0) (c) (0,1) (d) (0,–1) (e)…

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Q: The polar form of the Cartesian coordinates (V8, V8) is ... Select one: (Vz, ) a. 4,) b. 4, ) C.

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Q: ind polar coordinates for the following points given in rectangular coordinates: (0, –3), (–3,3),…

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Q: Which of the following is a possible polar coordinate for the point P with rectangular coordinates…

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Q: п 3. The polar coordinates of a point are | 0, Determine the Cartesian coordinates of the point. 3 .…

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Q: All the polar coordinates of the point (4,- are: 5π + 2nπ + 2nz) ()(+2n) and (-4,+ 2na) + 2nn) and…

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Q: 35. The vehicle of a triangle have polar coordinates of (0,0), (6,30º) and (9,70°). Find the…

A: This is a problem related to polar coordinates of the triangle. Based on the general formula and…

Q: The rectangular coordinates of a point are given. Plot the point. (3, 3) y y 4 4 2 2 X -2 2 -4 -2 2…

A: Given:- Rectangular coordinate (x, y) =(3, 3)  To find:- Plot point (3, 3) on Cartesian system…

Q: The Cartesian coordinates of the polar coordinates (6, 2n IS.... ...... 3. Select one: (3,-3V3) a.…

A: Polar coordinates  (6, 2π/3) To find the Cartesian coordinates of the given polar coordinates

Q: 6. Which of the following are possible polar coordinates with rectangular coordinates (0, -2)? TT…

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Q: One polar coordinate representation for the rectangular point (2, – 2) is o(-2/7. -) 4 4 3 T 4 4

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Q: Find the rectangular coordinates of the point whose polar coordinates are given (4, Select one: O…

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Q: One polar coordinate representation for the rectangular point (2, – 2) is 3 T 4 3Tt 2/2, TT

A: For changing into rectangular coordinate first we will calculate magnitude and then angle.

Q: If the polar coordinate P(6, ), then the rectangular coordinates of P is: Select one: O (3v2, -3v2)…

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Q: Convert the Cartesian coordinates below to polar coordinates. Give an angle 0 in the range 0 0. V3…

A: We know that, relation between cartesian co-ordinate and polar co-ordinates, r=x2+y2 and…

Q: Convert from rectangular to polar coordinates: Note: Choose r and θ such that r is nonnegative and…

A: Given: Rectangular coordinates:   15, 153  To find: Polar coordinates.

Q: The polar coordinates of a polint are given. Plot the point. (-5, 0.45) /2 R/2 -2 -6 -4 -2 2 6 -2 -1…

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Q: List in Cartesian (rectangular )coordinates all points (X, Y )where the following curves intersect.…

A: Given 2 curves: r=8sinθ and r=8sin2θ Equating both the above equations:…

Q: The polar coordinates (r,0) of the point whose rectangular coordinate is (-2,2/3) are Select one: O…

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Q: Consider a point with rectangular coordinates (x, y). If x 0 then the polar coordinates of the…

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Q: Which polar coordinate pair labels the same point as the one shown below? Select all that apply.…

A: Given: The polar coordinate pair is r, θ=4, -π4 We have to labels the same points. Use: In polar…