4. Consider the point in the plane given by polar coordinates (r,0) = 3 - (2. 증). (a) Express this point in polar coordinates where r = 2, but 0 +, if possible. (b) Express this point in polar coordinates where 0 = 5, but r + 2, if possible. (c) Express this point in polar coordinates where r # 2 and 0 # 3' if possible.

Q: 24/ Replace the polar equation r. sin (0 +") = 2 to Cartesian equation -(G+ ns./ = 2

A: The given polar equation is r·sinθ+π6=2 .................(1)

Q: For Exercises 23-32, convert the ordered pair in polar coordinates to rectangular coordinates. (See…

A: As per the guidelines we have to solve only three subparts

Q: Convert to polar coordinates withr2 0 and 0 < 0 < 27. (3, 0) (г, Ө) —

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Q: #2) Convert each of rectangular pair coordinates to polar coordinates where r> o and o 4o < Zx. part…

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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: First part of the question is that convert the following Cartesian coordinates to the corresponding…

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Q: Find two other pair of polar coordinates one with r>0 and r<0 for  (6,π/4) (-5,3π/2) (3,-π/3)

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Q: Plot the points in polar coordinates » (1) (a) (4, x) (6) (-25) -5 (c) (3,

A: Polar coordinates are always mentioned in the form of r,θ. Where, r=radius of circle.θ=angle of…

Q: (ь) (-6, 1/2) (r, 8) (r> 0) (r. 8) = (r< 0) y 2.0- -1.0 -0.5 0.5 1.0 1.5 1.0 -8 0.5- -10 -12- o-1.0…

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Q: 2 - y = 2 #8) A) Change equation x 4 to polar coordinates.

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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: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values

Q: Sketch the curve (x2 + y2 )3 =4x2y2 by converting to polar coordinate system

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Q: Convert the equation y = x^-2 into a polar equation.   I'm getting confused on the inverse…

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Q: Find the polar coordinates of the points whose cartesian coordinates are  (i) (-2,-2) (ii) (-3,4)

A: Find the polar coordinates of the points whose cartesian coordinates are  (i) (-2,-2) (ii) (-3,4)