9Integral Test-Harmonic Series, p-Series 20The Comparison Tests 21Alternating Series 22The Ratio and Root Tests 23Taylor Polynomials and Approximations 24Power Series and Intervals of Convergence 25Representation of Functions by Power Series 26Taylor and Maclaurin Series 27Parabolas, Ellipses, and Hyperbolas 28Parametric Equations and the Cycloid 29Polar Coordinates and the Cardioid 30Area and Arc Length in Polar Coordinates 31Vectors in the Plane 32The Dot Product of Two Vectors 33Vector-Valued Functions 34Velocity and Acceleration 35Acceleration's Tangent and Normal Vectors 36Curvature and the Maximum Bend of a Curve