(a) Use Exercise 81 to show that the angle between the tangent line and the radial line...
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(b) Illustrate part (a) by graphing the curve and the tangent lines at the points where θ = 0 and π/2.
(c) Prove that any polar curve r = f (θ) with the property that the angle ψ between the radial line and the tangent line is a constant must be of the form r = Cek6, where C and are constants.
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a redrde e so by Exercise 81 tanre 1 arctan 1 4 c Let a be the ...View the full answer
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