sum10.2.14 - Week 5 Homework: Pre-view 10.2 Calculus on...

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Week 5 Homework:Pre-view10.2 Calculus on parametric curves10.3 Polar coordinates:a. translations (x, y) to (r, θ)b. translations (r, θ) to (x, y)c. standard curves (r=acosθ;r=a+bcosθ;r= cosnθ.)10.4 Area and arc length in polar coordinates11.1, 11.2 Sequences and Series
2Ifx=x(t), y=y(t) is a parametric curve, we havedydx=dydtdxdt.This formula is used in Problem 10.2.5 to find theequation of the tangent line to the curve at a point.To clarify, we still havex=x(t),but a new parametricvalueh(t) =dydx(t).We read theabove formula for the first derivative asx=x(t), y=g(t) havingddx(g(t)) =ddt(g(t))dxdt
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Term
Summer
Professor
Dodson
Tags
Calculus, Arc Length, Derivative, Polar Coordinates, Mathematical analysis, Parametric equation, Vector valued function

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