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The graphs of the polar equations r₁= cos(20) and r₂ = sin(9) + 1 are shown below. Find the 4 angles between 0 and 2 for which r₁=0, and the angle for which r₂ = 0, please explain every steps clearly. Then find the other six points of intersection (r and 9) of the curves. You should be able to find four values of r and exactly, and find the other two to four decimal places. Hint: r₁ negative values, while r₂ = sin(9) + 1 takes on only non- = cos (20) takes on both positive and negative values.

The graphs of the polar equations r₁= cos(20) and r₂ = sin(9) + 1 are shown below. Find the 4 angles between 0 and 2 for which r₁=0, and the angle for which r₂ = 0, please explain every steps clearly. Then find the other six points of intersection (r and 9) of the curves. You should be able to find four values of r and exactly, and find the other two to four decimal places. Hint: r₁ negative values, while r₂ = sin(9) + 1 takes on only non- = cos (20) takes on both positive and negative values.

Advanced Engineering Mathematics
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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The graphs of the polar equations r₁ = cos(29) and r₂ = sin(9) + 1 are shown below. Find the 4 angles between 0 and 2 for which r₁ = 0, and the angle for which r₂ = 0, please explain every steps clearly. Then find the other six points of intersection (r and 9) of the curves. You should be able to find four values of r and exactly, and find the other two to four decimal places. Hint: r₁ = cos(20) takes on both positive and negative values, while r₂ = sin(9) + 1 takes on only non- negative values. Is &
Transcribed Image Text:The graphs of the polar equations r₁ = cos(29) and r₂ = sin(9) + 1 are shown below. Find the 4 angles between 0 and 2 for which r₁ = 0, and the angle for which r₂ = 0, please explain every steps clearly. Then find the other six points of intersection (r and 9) of the curves. You should be able to find four values of r and exactly, and find the other two to four decimal places. Hint: r₁ = cos(20) takes on both positive and negative values, while r₂ = sin(9) + 1 takes on only non- negative values. Is &
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