For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (x, y).Don't use a calculator.1. (-2, -8)2. (2,7)3. (-2,-5)64. (1, 4)35.(-2,4)6. (−2, 3)A. (1√3,1)B. (-2, -0)c. (-1√√2,-1√√2)D. (1√2, -1√√2)E. (-0.5, 0.5√3)F. (-1√3, 1)

Formula The Cartesian coordinates (x, y) for a given polar coordinate (r, θ) are calculated using:…

Answered: For each set of Polar coordinates (r,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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15. If P(-6, 2) is a point, what are the coordinates of P' the point rotated about the origin 180 degrees? A. (-6, 2) C. (-6, -2) do T Y 2 0 -2 पं -6 B. (6, 2) D. (6, -2) 2 6
Plot the point that has the given polar coordinates. (-3,1) x/2 0 x/2 x/2 x/2 0 Give two other polar coordinate representations of the point, one with r 0. (r. 8) = ) (smaller /-value) X (r, 8) = ) (larger /-value) 0
1. Find an equation of a line through the point (-1,4) making an angle of radian measure 1/4 with the linehaving an equation 2x+y-5=0.a. 3x + y + 1 = 0, x + 2y - 7 =0b. 3x - y + 1 = 0, x + 3y - 11 =0c. 2x - 3y - 14 = 0, x + 3y - 11 = 0d. 2x - 3y + 14 = 0, x + 3y - 11 =0 2. Find the polar equation of the circle with radius 3/2 and the center in polar coordinates at (3/2,π). 3. Find the angle between the lines AB and CD, where A: (2,-4,3), B: (-1,3,-2), C: (5,-2,1), D: (4,1,6). a. 90 b. 91.06 c. 81.05 d. 85.5 4. Find the angle between the planes 4x-2y+6z+15=0 and 15x+10y-5z-27=0.a. 82◦b. 83◦57′c. 85◦54′d. 87◦54′
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Find the component form of v if I'll = 6 and the angle it makes with the x-axis is 150°. (-3-√3,3) (-3√2,3-√2) 0(-6-√3-6) 0(-3,3√3) 0(-6,6-√3)
Convert the equation r^2 cos(θ) sin(θ) = 4 into a rectangular equation I'm getting hung up on the this. Thank you for the help.

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For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (x, y). Don't use a calculator. 1. (-2, -8) 2. (2,7) 3. (-2,-5) 6 4. (1, 4) 3 5.(-2,4) 6. (−2, 3) A. (1√3,1) B. (-2, -0) c. (-1√√2,-1√√2) D. (1√2, -1√√2) E. (-0.5, 0.5√3) F. (-1√3, 1)