For Exercises 11-13, points A and B make up a graph that has an indicated type of symmetry for all polar representations of point B. Fill in an ordered pair for point B that would satisfy the condition of symmetry. Note that for ordered pairs in polar form, there is more than one correct answer. 11. a. Symmetry: x-axis b. Symmetry: polar axis A(x, y) A(r, 0) B( B(-) 12. a. Symmetry: y-axis b. Symmetry: Line e = B( A(x. y) B( (A(r, 0) 13. a. Symmetry: Origin b. Symmetry: Pole A(r, 0) A(x, y) B( BC

Q: 4) 4+ 3+ -5 -4 -3 -2 3 4 5 r -2+ -3+ -4+ 2.

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Q: 8- Write three examples about sketch the graph in polar coordinates from families of rose curves

A: For the solution of the problem follow the next steps.

Q: Sketch a graph of the polar equation and identify any symmetry. r=2cos(3θ)

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Q: Sketch the polar graph of r=3

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Q: (-5, 4) R y-axis (- a. b. (3, -5) R x-аxis

A: After reflection about the Y-axis, y-coordinate remains the same but the sign of the x-coordinate…

Q: For Exercises 15-18, plot the points whose polar coordinates are given. 18. d. (-s. 57 -5, 6.

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Q: Sketch the graph of r² = 4cos2θ in polar coordinates.

A: To Sketch the graph of r² = 4cos2θ in polar coordinates.

Q: 65 7 4 8 9 10 12, 11 13 14 171 15 16

A: The UCS origin (0, 0), which is the point where the X and Y axes meet, serves as the starting point…

Q: Test r2 = 9sin 2θ for symmetry and then graph the polar equation.

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Q: For Exercises 15-18, plot the points whose polar coordinates are given. 16. d. -3,

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Q: 7-Write three examples about sketch the graph in polar coordinates from families of circles

A: A circle in polar coordinates is given by the formula, r=acosθ and r=asinθ where, a is the diameter…

Q: How many times do the graphs of the polar curves r=3 and θ=π/6 intersect?

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Q: To test whether the graph of a polar equation may be symmetric with respect to the line θ = π / 2 ,…

A: Given that,  the graph of a polar equation may be symmetric with respect to the line θ = π / 2 .

Q: To test whether the graph of a polar equation may be symmetric with respect to the polar axis…

A: To test whether the graph of a polar equation may be symmetric with respect to the polar axis…

Q: Ма Find the polar coordinates of the point whose rectangular coordinates are (-V3,3) and then show…

A: The given coordinate is  (x, y) = (-3,3)

Q: 3 plot the polar graph r=2(1-sino) %3D

A: Given : Graph = 2 (1-sinθ)

Q: For Exercises 9-10, use a graphing utility to graph the polar equation and describe the graph in a…

A: Apologies. We only answer one question at a time. We will answer question 9 as the exact one wasn't…

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: make a table value to graph the function

Q: To test if the graph of a polar equation may be symmetric with respect to the polar axis,replace θ…

A: To test if the graph of a polar equation may be symmetric with respect to the polar axis, replace θ…

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: Sketch the graphs of (a) r = 1. (b) θ = π /4 in polar coordinates.

A: We need to sketch the graphs of (a) r = 1 and (b) θ = π /4 in polar coordinates.

Q: To test if the graph of a polar equation may be symmetric with respect to the line θ = π /2 ,replace…

A: We fill the blank space as

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

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Q: For Exercises 19-22, given a point in polar coordinates, find two other polar coordinate…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 5. Choose the graph which best depicts the point given in polar coordinates : (-3,5). 3 -3 3 3 -3 3

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Q: Convert the rectangular equation to polar form and sketch its graph. y = 6 6 T/2 T/2 12 15 10 8 10 4…

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Q: 4 4. a) Identify the conic section given by the polar equation and also determine 1-cos e its…

A: We convert the equation into rectangular form first This is a parabola.

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities 0 ≤ θ ≤ π, r…

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Q: What consequence does the lack of uniqueness of polar coordinates have for graphing? Give an…

A: To find the importance of uniqueness to polar coordinates

Q: 7 -7/3 2' 2 (0,-3) ソ=x

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Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6

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: - Change LAxy dydx to polar form.

A: Consider a cartesian coordinate and polar coordinate . Then the relation between these two…

Q: Match the point (-3,7/3) in the polar coordinates with either A, B, C, or D on the graph. 4+ 3+ •B…

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Q: I must have made a mistake because my polar representation of a given point is not the same as the…

A: Let us consider the statement that“I must have made a mistake because my polar representation of…

Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

A: We have to sketch the graph of the polar equation using symmetry, zeros, maximum r- values, and any…

Q: # 6. Explain why the graph of the polar curve r = is a hyperbola. 2-4 sin 0 Where is the focal…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 27 18. а. 2. 3 b. (3, -я) «(-4) с. d. (-5,

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Q: What consequence does the lack of uniqueness of polar coordi-nates have for graphing? Give an…

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Q: 5- Write two examples about symmetry tests in polar graphs

A: example about symmetry test in polar graphs are:-

Q: Determine whether the statement, "I’m working with a polar equation that failed the symmetry test…

A: Given statement: I’m working with a polar equation that failed the symmetry test with respect to θ =…

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: Determine whether the statement, "I must have made a mistake because my polar representation of a…

A: The given statement is :   “I must have made a mistake because my polar representation of a given…

Q: Which of the following figures has reflectional symmetry? A в D A. Figure C B. Figure B C. Figure A…

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Q: Determine which point in the figure, P, Q, R, or S, has the given polar coordinates. (-4, 57)…

A: We know that in polar co-ordinate system, any point can be represented as (r,θ), where r is polar…

Q: (B) if y = -x sketch in polar

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Q: To test whether the graph of a polar equation may be symmetric with respect to the pole…

A: The polar equation is (r,θ)

Q: Match the graph to one of the polar equations. 3) -5 4 -3-2 1 2/3 4 5 1 -4+ 1.

A: This is aproblem related to polar equation calculation. We will assume, x=rsintheta and y=rcostheta