6) Match each equation (I)-(IV) with its polar graph from choices A-D (1) r=-3cose Answer: A (11) r=2+ 2sine Answer: B (III) r=5cos20 Answer: C (IV) r2=4sin20 Answer: D 4 年 0

Q: (a) Consider the point in rectangular coordinates given by (-2, 2). Write this point in polar…

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Q: 1. Find the rectangular coordinates of the points whose polar coordinates are given. (a) (6, π/6)…

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Q: 4. (a) Plot the following points in the same polar coordinates system (b) Convert into rectangular…

A: To convert the polar coordinates r,θ to rectangular coordinates x,y then x=rcosθ and y=rsinθ

Q: Find the polar equation of x = - y? and identify its graph.

A: Given, curve x = -y2To find the polar equation, we will replace x with rcosθ and y with rsinθ in the…

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

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Q: Convert to polar form. Then isolate r. (a) x² +y² -9= 0 (b) x² +y = 4x %3D

A: x2+y2-9=0 On simplification, we get ⇒x2+y2=9⇒r2=9         ∵r=x2+y2⇒r2=x2+y2⇒r=3

Q: Convert the rectangular equation to polar form and select its graph. x² + y² = 16

A: The given rectangular equation is .We have to convert the equation into polar form and sketch its…

Q: (b) r= 3sin0 - 3cose

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Q: Which of the following represents the rectangular equation x² + y²-5y-0 in a polar equation?

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Q: Plot the point that has the given polar coordinates. (8 - 27) T/2 7/2 41 4 A/2 A/2 4. 4

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

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Q: 3. Find the polar form of the Cartesian equation: x² + y² = (3 + 2x)² %3D

A: Solution-

Q: Choose the graph of the polar equation “ r=1+cos 0" .

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Q: #7. Convert into polar equation form. ( 4 marks each ) a) y=5x+3

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Q: 18) Convert the equation to polar form (and solve for "r"): 2x2 + 2y + 12x - 9y = 0 %3D

A: 2x2+2y2+12x-9y=0

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

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Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

Q: Plot each ordered pair written in polar coordinates below, and then find a new polar coordinate…

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Q: 2. Convert the following polar coordinates to cartesian coordinates with (3,-) (-4) 2n c (2.) a. b.…

A: As per Bartlebys answering policy, we can answer only one question with a maximum of three subparts.…

Q: 5) (a) Write x²+(y-2)² = 9 an equivalent equation using polar coordinates. (b) Writer = 4 csc an…

A: Step 1: Step 2: Step 3: Step 4:

Q: How do you convert x2+y2 = 16x2-4y2 to a polar equation?

A: THE EXPLANATION HAS BEEN GIVEN IN  THE ATTACHED FILE.

Q: (a) Solve the equation 2x² + 3x + 4 = 0, giving the roots in the rectangular and polar forms (b)…

A: See the attachment

Q: (5) a. Convert the following from rectangular form into polar form: (6,-3). Your answer should…

A: Given: Rectangular coordinate is 6,-3. To find: Polar coordinates over the interval -2π,2π.

Q: 3-4 Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the…

A: See the answer below