Convert the rectangular coordinates to polar coordinates with r>0 and 0s 0 < 27T. (-võ-v2) (r, O) = 13

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: Write the polar equation in rectangular form. r = 6 sin 0 Oy =-6x Oy =x- 3 O x² + (v – 3)² = 9 O (r…

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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: 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: Use polar coordinates to calculate e-(z²+y²) dydx. roo Express -(2²+y²) dydx in terms of dr, and…

A: We will find out all the required values.

Q: Find two pairs of polar coordinates, one with r>0 and one with r<0,

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Q: Convert to polar coordinates in the xz-plane, similar to Example 3 in the book. r2 63 – 2x? – 2z? –…

A: The limits lead to interpretation that,   From (2), Comparing the above result with  r=3

Q: Find the angle α between the polar curves r1=eθ and r2=e−θ at the point of intersection.

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Q: Give two possible pairs of polar coordinates (r, 0) for the rectangular (Cartesian) point (-6, –6V3)

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Q: Find the length of the curve r = 2 sin^3 (u/3), 0 … u … 3pi , in the polar coordinate plane.

A: Given:        r=2sin3u3,  0≤u≤3π

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

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Find the length of the curve r = 2 sin^3 (u/3), 0&lt;=u&lt;=3pai, in the polar coordinate plane.

A: To determine the length of the polar curve.

Q: Find the polar coordinates of a point with 7V3 7 Cartesian coordinates (x, y) = (-- 2 Select the…

A: To convert from cartesian coordinate (x,y) to polar coordinates (r, θ): r=x2+y2 θ=tan-1yx

Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: Calculate the length of the polar curve r=1-sinθ on the given interval (0,2π).

A: In the given question we have to find the length of the polar curve on the interval . Concept:…

Q: Convert the Cartesian coordinate (-3,2) to polar coordinates, 0 < 0 < 2n r = Enter exact value.

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Q: (b) Find two polar coordinate representations for the rectangular coordinate point (-6, 2/3), one…

A: Given data: The given coordinate is (x,y)=(-6, 2(3)1/2). The expression for the polar coordinate is,…

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

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Q: 5n using the pencil. Plot the points with polar coordinates (-6, -a) and 4, 2n 3n SR 2. Jix Sn 4 Sx…

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Q: Convert to polar coordinates with r > 0 and 0 < 0 < 2T. (- 1, 1/3)

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Q: Find polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 s0 < 2m

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Q: Convert the rectangular coordinates to polar coordinates with r>0 and 0 <e< 2n. (9v3, -9)

A: The objective is to convert the rectangular coordinate to polar coordinate .

Q: Q2 Find the points of intersection of the polar curves r=1+cos 9 and r= -cos

A: Point of intersection of the Polar curve

Q: Convert the rectangular coordinates (3, -3V3) into polar form. Express the: using radians in terms…

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Q: Evaluate f" Na-*) /x² + y² dydx, using polar coordinate. -a

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Q: 7T What are the rectangular coordinates of the point with polar coordinates (r, 0) = [2, ? 4 (х, у)…

A: Given: r,θ=2,7π4

Q: Convert the polar equation to a rectangular equation. r= 3 cos 0+6 sin 0 O A. 3x+6y 0 O B. x+y 6x +…

A: Recall: Convert form Polar to Rectangular:      x= r cosθ and   y= r sinθ ⇒r2=x2+y2   and  tanθ=yx

Q: convert the rectangular coordinates to polar coordinates with r > 0 and 0 ≤ θ < 2π. (4, −4)

A: Rectangular co-ordinate : ( x , y )  Polar co-ordinate ( r , theta )  x = r cos ( theta )  and y = r…

Q: Determine the length of the polar curve r = 2°, 0<0<.

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Q: Convert the Cartesian coordinate (5, 3) to polar coordinates, with 0 0 - r = 0 =

A: Here we have to convert the Cartesian coordinate (5,-3) to polar coordinates.

Q: Calculate the slope of the polar curve  r=4cos3θ  at the point where θ=5π/6

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Q: What is the zero of polar equation r = 3+2cos(θ)?

A: Given polar equation is: r=3+2 cos θ To find the zero of the polar equation, we must have to put θ=0…

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 two other pairs of polar coordinates of (2, 27/3), one with r >0 and one with r <0. Then plot…

A: I am attaching image so that you understand each and every step.

Q: Q2 Find the points of intersection of the polar curves r=1+cos and r= -cos

A: Given polar curves are  r=1+cos θ r=-cos θ Find the points of intersection. At first, the value of θ…

Q: Convert the point Cr,e)f from polar to nectangular COordinates (xx) 5T 3. ब्लज( कथावक 2)(a,)

A: To convert the given point from its polar form to rectangular form

Q: 1. What are the rectangular coordinates of the point with polar coordinates (r, 0) = (4, 45°)? (x,…

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

A: Explained below

Q: Express the Cartesian coordinates (-3, 1) as polar coordinates. (2, 330°) O (2V2, 150) O (2, 150)

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Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 < 0 < 2n. (9v5, -9)

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Q: 3T Plot the points with polar coordinates 3, and (2, 2n) using the pencil. 4

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Q: Plot the points with polar coordinates (4, T) and -5, - *-) using the pencil. 2n 3 3n 4 4 6 4 6. 一6

A: Given query is to graph the polar coordinates.

Q: Convert ( – 2, 5) (cartesian coordinates) into polar coordinates. Assume r > 0 and 0 < 0 < 2T. |

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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: Convert the rectangular equation to a polar equation. Express r in terms of 0. 5x + y = 9 (Type an…

A: Convert the rectangular equation to a polar equation.

Q: Q2:- find the polar coordinates for the fol 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2)

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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 polar coordinates (T, 7) to Cartesian coordinates. O ( T, TL) O(- T, 0) O (0, - T1)

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Q: Convert the Cartesian coordinate (-6,6) to polar coordinates, 0 <0 < 2n r = Enter exact value. 0 =

A: The given cartesian coordinate -6,6