Find two other pairs of polar coordinates of the given polar coordinate, one with r> 0 and one with r<0. Then plot the point. (a) (3, π/4) (r, 0) = (3, (r, e) = (-3,- -4 y 1.4 1.2 1.0 0.8 0.6 5π 4 0.4 0.2 3π 4 -3 X 0.2 0.4 ) (r > 0) ) (r< 0) 0.6 -2 0.8 -1 1.0 y 1.2 1.4 X X 1.5 1.0 0.5 y 4 y 3 2 n 1 2 2 3 4 3 5 6 X X

Q: 14. Polar coordinates. a. Write (x, y) = (-2,2) in polar form (r, 0).

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Q: You are given the point (1, 3) in polar coordinates. (a) Find another pair of polar coordinates for…

A: Answer given below.

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: r 3

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Q: 1.5 -1 X X 3 1.0 0.8 0.6 0.4 0.2 1 2 3 X

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Q: 3. Let (x, y) denote the usual rectangular coordinates. Write the following function f(x, y) in…

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Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

Q: Q 1. (a). Express z=2+/2i in polar form. (b). Find the value of z if e² =1.

A: Q1. (a) given complex number is                                                              z=2+2i…

Q: Q5 By changing to polar coordinates, evaluate "S cos (x' + y° ) dxdy .

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Q: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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Q: Determine in polar coordinates the center and radius of the circle r2 + 4r cos(θ) − 4√3 r sin(θ) −…

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Q: Convert the following rectangular equations into polar equations. (a) x² + y² = 2x r = a cos(0); a=…

A: a) x2+y2=2x To convert rectangular equation to polar, substitute x=rcos(θ) and y=rsin(θ) So, the…

Q: Find the Cartesian coordinates of the given polar coordinates. Then plot the point. -(C (x, y) = 1.0…

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Q: (a) r= √e, ose ≤ 16 (b) r=o², 0≤o≤ 16x (c) r = cos(8/7) (d) r= 2 + 5 cos(0) (e) r = 3 + sin(20) (f)…

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Q: E x+y= 10«

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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: (b) (1, 5T/2) ( (x, y) = y y -2.0 -1.5 -1.0 -0.5 -1.0 -0.5 0.5 1.0 -0.5 -1.00 - 10 -1.5 -15 - 2.0f y…

A: (b) (r,θ)=1,5π2So,x=r cos θ  =1 cos5π2  =0y=r sin θ  =1 sin5π2  =1(-1)  =-1 Therefore, the point is…

Q: Consider the polar curves C₁ : r = 2 - cas 0 and C₂: r = 2 + 2 cos 0, 0 € [0, 27). 1 (1.) Show that…

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Q: Find a Cartesian equation for the curve given by the polar equation r = 6 cos 0.

A: as per the roj we can only answer the first question and rest can be reposted.

Q: (b) (2, -51/6) (r, 0) = (-2, (r, 0) = (-2, y -2 -3 -4 y 2.0 O 1.5 1.0 0.5 π 6 11π 6 1 X 0.5 1.0 ) (r…

A: The polar coordinate is given as , r,θ=2,-5π6