Consider the polar curve

MATHEMATICS · Subjective · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Consider the polar curve r=θ2r=\theta^{2}. (a) Determine whether the tangent line at θ=1\theta=1 is horizontal, vertical, or neither. (b) Write the equation of that tangent line in Cartesian form.

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