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Ap calculus bc4/8/2023 ![]() AP Calculus BC Sections and Question Types Infinite Sequences and Series-Defining convergent and divergent infinite series, working with geometric series, determining convergence and divergence using the n th Term Test, Integral Test, Comparison Test, Alternative Series Test, and Ratio Test, working with geometric series and p-series, determining absolute or conditional convergence, determining error bound, finding Taylor polynomials, finding Lagrange error bound, finding radius and interval of convergence of power series, and representing functions as power seriesĬheck out our line of AP guides for a comprehensive content review. ![]() Parametric Equations, Polar Coordinates, and Vector-Valued Functions-Defining and differentiation parametric equations, finding second derivatives of parametric equations, finding arc lengths of parametric equations, defining and differentiating and integrating vector-valued functions, solving motion problems using parametric and vector-valued functions, defining polar coordinates, differentiating polar functions, finding the area of regions bounded by a single polar curves or two polar curves.Applications of Integration-Finding the average value of a function, connecting position, velocity, and acceleration using integrals, applying accumulation functions, finding area between curves of functions, finding volumes from cross-sections and revolutions, and finding arc length.Differential Equations-Modeling situations with differential equations, verifying solutions for differential equations, sketching slope fields, approximating using Euler’s Method, and using separation of variables.Integration and Accumulation of Change-Finding accumulations of change, Reimann sums, and definite integrals, understanding the Fundamental Theorem of Calculus, interpreting accumulation functions, finding anti-derivatives and indefinite integrals, and integrating using substitutions, long division, completing the square, integration by parts, linear partial fractions, and improper integrals.Analytical Applications of Differentiation-Understanding the Mean Value Theorem, using the Extreme Value Theorem, finding global and local extrema, applying the First Derivative Test and Second Derivative Test, finding intervals of increase and decrease, understanding concavity, sketching graphs, solving optimization problems, and using implicit relations.Contextual Applications of Differentiation-Interpreting derivatives in context, using rates of change in motion and other context, applying related rates, approximating using linearization, and applying L’Hospital’s Rule. ![]() ![]()
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