Find the arc length of the curve on the interval [0, 2𝜋]. (Use theta for 𝜃 as necessary.)circle circumference: x = a cos(𝜃), y = a sin(𝜃)
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Solution 1
The arc length of a curve is given by the integral of the square root of the sum of the squares of the derivatives of the functions defining the curve. In this case, the curve is defined by the parametric equations x = a cos(𝜃), y = a sin(𝜃).
The derivatives of these functions are:
dx/d𝜃 = -a sin Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study p
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