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BC Calc - Unit 9

QuestionAnswer
Parametric Arc Length Formula ∫√ [ (dx/dt)^2 + (dy/dt)^2 ] dt *** evaluated from t1 to t2
Polar Conversions: x=... rcosθ
Polar Conversions: y=... rsinθ
Parametric: d^2y/dx^2=... [(d/dt)(dy/dx)] / (dx/dt)
Vector: Position Formula r(t) = < x(t) , y(t) >
Vector: Velocity Formula r'(t) = < x'(t) , y'(t) >
Vector: Acceleration Formula r''(t) = < x''(t) , y''(t) >
Speed Formula |v(t)| = √ (x'(t))^2 +(y'(t))^2
Slope Of A Curve In Polar Form Formula dy/dx = [f'(θ)sinθ + f(θ)cosθ] / [f'(θ)cosθ - f(θ)sinθ]
Distance Traveled Formula ∫ √ (dx/dt)^2 + (dy/dt)^2 dt
Created by: abievans
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