For r=1+2cos(theta)Determine the points where the tangent line is vertical,By finding the angles, in where dx/dθ = 0 and dy/dθ ≠ 0Then finding the corresponding values of r and substituting them onto the equationThen find the area of the inner loopThen find the length of the outer loopThen the particle motion for 1+2cos(θ), at t=0, this particle moves along the curve so that dr/dt = dr/dθ . Find the value of dr/dt at θ = π/ 3 and interpret your answer in terms of the motion of the particle

We will use integral to find area and arc length of polar curve Note: maximum 3 subpart are allowed…

Answered: For r=1+2cos(theta) Determine the…

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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For r=1+2cos(theta)

Determine the points where the tangent line is vertical,
1. By finding the angles, in where dx/dθ = 0 and dy/dθ ≠ 0
2. Then finding the corresponding values of r and substituting them onto the equation
Then find the area of the inner loop
Then find the length of the outer loop
Then the particle motion for 1+2cos(θ), at t=0, this particle moves along the curve so that dr/dt = dr/dθ . Find the value of dr/dt at θ = π/ 3 and interpret your answer in terms of the motion of the particle

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