Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §8.2 Length of a Plane Curve, #27 · Calculus · Applications of integrals

Plot the point …, … at the five times

Plot the point $x = 3 cos t$ , $y = 4 sin t$ at the five times $t = 0, π /2, π, 3 π /2, 2 π$ . The equation of the curve is $(x /3)^{2} + (y /4)^{2} = 1$ , not a circle but an ______. This curve cannot be written as $y = f (x)$ because ______.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §8.2 Length of a Plane Curve, #27

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