Calc II Test 2 - • Parametric equations for circle with...

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Unformatted text preview: • Parametric equations for circle with center (h, k) and radius r o o o x = h + r cos t h y = k + r sin t 0 <= t <= 2π • Calculus with Parametric Curves o Tangents x = f(t), y = g(t) y = F(x) g(t) = F(f(t)) g’(t) = F’(f(t))f’ (t) = F’(x)f’(t) F’(x) = g’(t) f’(t) dy/dx = (dy/dt) / (dx/dt) if dx/dt =/= 0 d2y/dx2 = d/dt (dy/dx) dx/dt o Areas o ∫ g(t) f’(t) dt Arc Length ∫ √[x’(t)2 + y’(t)2] dt o ...
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