Convert to polar coordinates with r 2 0 and 0 s e < 2T. (-3,-1) (r, e)

Q: 5. Convert the given functions into the desired coordinates. (a) 2x-5x³=1+xy into polar coordinates,…

A: Solution of this question is :

Q: Write a polar equation of the form r sin(0 – 0,) = ro for the line 2/3 x+2y = 1. %3D

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Q: C) = (x² + y² – 1) Hint: You can write this in polar coordinates and then solve for 0(t) and r(t)…

A: Write the coefficient of the equation in terms of polar coordinates: Write, x=rcosθ, y=sinθ. Then,…

Q: Find the polar coordinates of the point with r> 0 and o ses 2n. (r, 8) = 2 0.5 1.5 2,5 3,5

A: Consider

Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 s 0 < 2n. (1, -1) (r, 0) =

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Q: 13πt Match the point in polar coordinates 3, 4 04(3, 1) 3π 4 C(3, -t) D(-3, =) OB 3, OD Ś to the…

A: This question can be solved using the concept of polar coordinates.

Q: et R={(x,y)=R² | x² + y² ≤4y}. Draw it. Write it in polar coordinates.

A: R=x, y∈ℝ2|x2+y2≤4y

Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. (a) (-V2, 5T/4)…

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Q: Find the Cartesian equation of the polar equation. rsin 0 = 3 4 The Cartesian equation for r sin 0 4…

A: Given polar equation is r sinθ-π4=3find the cartesian equation

Q: Evaluate the polar coordinate E( 4r² cos 0 rdrd@.

A: I have stated the used formulas in the solution

Q: Convert to polar coordinates with r≥0 and 0 between 0 ° and 360 ° . Provide Detailed steps of your…

A: Given,         -41,-43We know that,          To convert the cartesian x,y to polar coordinates r,θ…

Q: Convert the given Cartesian equation into a polar equation. x² + y? = 2x + 3y Select the correct…

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

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Q: r = 5°, 0<0<2n

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Q: Convert the Cartesian equation x² + y² + 3x = 0 to a polar equation. r² = = -3 cos 0 r= 3 cose r= -3…

A: Given x2+y2+3x=0To find polar equation:

Q: convert to an equation in polar coordinates of the form r = f (θ ).  ln x = 1

A: Polar coordinates are the coordinates in 2-Dimensional plane where x coordinate gives us the…

Q: The equivalent Cartesian equation of the polar equation r = tan0sec0 is: A) y = x. B) y= x2. C) ху —…

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Q: Write the given polar equation in cartesian form (in terms of x r – 1= cos 0 = Cos 2- y? – 1 = x²…

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Q: Find the exact length of the polar curve. = 02, 0<0 s T/2

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Q: Evaluate the polar coordinate E| 4r2 cos 0 rdrd0.

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Q: Find a polar equation in the form r cos (0-0) = ro for the line 2/2x+2/2 y = 16.

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Q: Find the exact length of the polar curve. r = 3 sin(0), 0≤0 ≤ π/4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: r cos 0 = -3 2n 5Tt 2 3 Check for symmetry line 0 = = pole polar axis

A: rcosθ=-3 Now when θ=0, rcos0=-3⇒r1=-3⇒r=-3 When θ=π6, rcosπ6=-3⇒r32=-3⇒r=-23 When θ=π3,…

Q: Find polar coordinates (r, 0) of the point, where r> 0 and 0 s0

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Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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Q: a) Sketch the polar curve r: 4 cos (0).

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Q: Find the length of the polar curve r = 7 sin e, 0 < 0s 2A . O A. 14 % O B. 21 1 С. 35я O D. None of…

A: Use the formula for the length of polar curve and substitute the given values.

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

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

Q: Determine two pairs of polar coordinates for the point with 0° s 0 < 360°. (55, 15) (105, 30°),…

A: According to the problem,we have

Q: xy = 1

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

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Q: Convert to Polar coordinates. (r 20 & 0 < 0 < 2n) (x, y) = ( -1, v3 )

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Q: Find the polar coordinates of the point with r > 0 and 0 < 0 < 2n. (r, 0) = 0.5 1.5 2.5 3.5

A: Topic- polar coordinate

Q: Convert the given rectangular coordinates to polar coordinates. Express your answers in such a way…

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Q: Convert the polar equation to a rectangular equation. r= 6 cos e + 5 sin 0 О х2 - у2 - 6х + 5y O x²…

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Q: Find the exact length of the polar curve. r = 0², 0≤ 0 ≤ 4π X

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Q: 2 Convert the equation to polar coordinates: y 2 x

A: To convert: The equation to polar coordinates. Given information: The equation is y2=2x. Concept…

Q: Convert the rectangular equation x² + y² – 2x = 0 to polar form. Have your equation begin with “r ="…

A: Explained below

Q: A particle moves along the polar curve r =1– 2 cos 0 so that = 2. Find the value of d at e = , and…

A: We are given that,                     Now,              When          , Then

Q: Write a polar equation of the form r sin(0 – 0,) = r, for the line x + y = v2.

A: Given given is, x+y=2 To write this line as polar equation of the form r sinθ-θ0=r0 In polar…

Q: Convert the given Cartesian equation into a polar equation. a² +y? - 2x + 3y %3D Select the correct…

A: Put x=rcos thetha and y=rain they ha to get polar equations

Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 s 0 < 2n. (0, -/5) (r, 8) =

A: the given point in rectangular coordinate is 0,-5 we have to convert the rectangular coordinates to…

Q: The Cartesian equation of the polar curve r = 6 sin 0 is (x – 6)² + y? = 36 - (x – 3)² + y² = 9 O a?…

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Q: Find the polar coordinates of the point with r> 0 and 0 < 0 < 2n. (r, 0) = 2 2 3 4

A: From the Figure it is clear that the value of r is 4 because it lies on the fourth circle.

Q: Find the polar coordinates of the given Cartesian coordinates where r > 0 and 0 <0 < 2n. а. (-3,3)…

A: We know  r = √(x2+y2)  angle depends on quadrant of given Cartesian coordinates

Q: Find a Cartesian equation for the curve represented by polar equation r= 14 cos 0- 4 sin e. O A. ^…

A: Use the transformation from polar coordinate to Cartesian coordinate and simplify.

Q: Find the length of the polar curve r = 5°; 0 <e< 2n

A: Given ,r=5θdifferentiate w.r.t.θdrdθ=5θ.ln(5)Weknow that length of the curve…

Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 s 0 < 2n. (-vz. -v6) (r, 0)…

A: To convert rectangular to polar, use the following transformation.  r=x2+y2  ; θ=tan-1yx Given:…

Q: Find the slope of the polar curve at the indicated point. A) V3 r = 1- sin(0), 03= 3 C) 2

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.