Q3 Write down the polar form of the equation 2 arctan(y/a)

Q: Find a polar form of the equation. x2 - y2 = 36

A: Given equation, x2-y2=36

Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: 12/2 Use polar coordinates to evaluate dydx.

A: The region is bounded by x=1,x=2,y=0 and y=x

Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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Q: Match the graph with its polar equation. r = 2 sin(0) 1/2 A/2 4 -2 -2 A/2 3- A/2 -1 1 2 4 -2 -1 1 2…

A: Topic :- Geometry Corect Answer= 3 r=2sinθr    θ0    01    π62     π20       π

Q: 2 Rewrite the Cartesian equation y = 6x² as a polar equation. r(0) Enter theta for 0 if needed.

A: To Convrt Cartesian from topolar form use the following           x=r Cosθ           y=r Sinθ

Q: dy at the point 1.- dx For the polar equation r=1–cos 0 , find the value of 2 O 1 O -1 O 2

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Q: Express y=x^2 in polar coordinates.

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Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: Find a polar equation for the curve represented by the Cartesian equation: x^2 - y^2 = 4

A: The Cartesian equation for the variables x and y are,

Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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Q: Find the polar equation for a parabola with its focus at the origin and whose directrix is y = -a…

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Q: 2 Convert the equation x+y¯-4=0 to polar form. Then solve the resulting equation for r.

A: x2+y2-4=0

Q: Match the graph with its polar equation. r = 2 sin(0) A/2 л/2 4 2 2 4 A/2 3- A/2 2 -1 2 - 2 -1 1 2

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Q: Find an approximate polar equation for the ellipticalorbit of the earth around the sun (at one…

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Q: he Cartesian equation (x – 10)2 + y² = 0 in polar form. %3D

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Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

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Q: Convert x2 -4x+y2=0 into a polar equation.

A: Convert x2 -4x+y2=0 into a polar equation

Q: 01: If x²+y-2x=0. Find the corresponding equation in polar. Sketch.

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Q: 3. RK 2 %3D Write the equation in polar form: x + y = 225

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Q: nd the Cartesian form of the polar equation sin(20). r3

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Q: ) Identify the conic section given by the polar equation r =

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Q: 8. Convert the polar equation r =8 cos 0 into a rectangular equation.

A: we know     The formula  of polar to rectangular    r2 = x2  + y2  , where x = r cos( theta) and…

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: 9. (a) Find the rectangular coordinates of the point(s) of the graph of the polar equation r = 4 sin…

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Q: Find the polar equation of a hyperbola with eccentricity 2, and directrix y = 5. Select the correct…

A: We have to find the polar equation of the hyperbola with eccentricity 2 and directrix y=5.

Q: Q1// Converting r= 12 cos 0 from polar to the equation of a circle?

A: Solution is given below:

Q: 4. Sketch the curve with the polar equation r=3-4cos(theta). Show your work by creating a table of…

A: We will make a table first θ (r,θ) 0 (-1,0) 45 (0.17,45) 90 (3,90) 135 (5.83,135) 180…

Q: V8-x2 Use polar coordinates to evaluate dydx

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Q: 2 Q3: Discuss the symmetry and plot the locus of polar equation r 1-cose

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Q: Q2: Sketch the polar function r 3 6 cos 30 ,-n<0 < m

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Q: 4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y…

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Q: The area of one loop of the graph of the polar equation r = 2 sin 30 is Select one: IT 3 2 4 2n 3

A: Solve by definite integration

Q: aluate the dnd to polar

A: Given that, ∫0a∫02a-x2xx2+y2dxdy Take x=rcosθ, y=rsinθ where 0≤θ≤2π.

Q: Q5/Change the polar equation 2r = 2 + cos8.(2r - 1) to Cartesian equation

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Q: Point A(V5,0) to point B(2v10,y) in polar coordinates Which of the following is the distance? 2 1 (…

A: Here we have, Point A5,θ and Point B210, γ in polar coordinates. Also given that, sinθ=25 and…

Q: 2. Convert from a rectangular equation to a polar equation. x = 2y2

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Q: Convert x=3y+1 into a polar equation.

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Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

Q: Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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Q: Q2/ Graph the polar equation r= 4+4 cos 0 %3D

A: Question 2: To graph the polar equation: r=4+4cosθ

Q: Q3) sketch the graph of r=cos e in polar coordinates.

A: See the attachment

Q: An equation of the line y = 2x + 4 in polar coordinates is: %3D 車 r=0 O r=-2/(sine -4cos0) O…

A: NOTE: Refresh your page if you can't see any equations. . as we know

Q: Consider the following equation (x² + y²)² = 4 (x² – y²). a) Convert the equation to a Polar…

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Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

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Q: 10. Sketch the curve of the polar equation r = 2 sin 0 . Find a rectangular equation for this curve.

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Q: Q2. Discuss the symmetry and plot the polar equation r 2-3 sin 0.

A: Given- r=2-3sinθ To find- The symmetry and plot the above polar equation.

Q: (b) Find the graph of the parametric equations: I = sin 0, y = 3 – 2 cos 20

A: Plugging values of θ, to find the corresponding values of x and y: When…

Q: For the polar equation r = 4+ 2 sin 0 :

A: We have r=4+2sinθ A graph is symmetric about x-axis if rθ=r-θ A graph is symmetric about y-axis if…