AP Calculus BC Exam, AP Calculus BC

[(h1 - h2)/2]*base - Correct Answers area of trapezoid ∫ u dv = - Correct Answers uv - ∫ v du 6th degree Taylor Polynomial - Correct Answers polynomial with finite number of terms, largest exponent is 6, find all derivatives up to the 6th derivative absolute value of velocity - Correct Answers speed Alt. Series Error: - Correct Answers Alternate definition of derivative - Correct Answers limit as x approaches a of [f(x)-f(a)]/(x-a) alternating series test - Correct Answers lim as n approaches zero of general term = 0 and terms decrease, series converges Alternating series test - Correct Answers terms decrease in absolute value means convergence Arc Length Cartesian - Correct Answers Arc Length Parametric - Correct Answers Arc Length Polar - Correct Answers area above x-axis is - Correct Answers positive area below x-axis is - Correct Answers negative area between two curves - Correct Answers ∫ f(x) - g(x) over interval a to b, where f(x) is top function and g(x) is bottom function area inside one polar curve and outside another polar curve - Correct Answers 1/2 ∫ R² - r² over interval from a to b, find a & b by setting equations equal, solve for theta. area inside polar curve - Correct Answers 1/2 ∫ r² over interval from a to b, find a & b by setting r = 0, solve for theta Area of Trapezoid - Correct Answers area under a curve - Correct Answers ∫ f(x) dx integrate over interval a to b Average Rate of Change - Correct Answers Average Rate of Change - Correct Answers Slope of secant line between two points, use to estimate instantanous rate of change at a point. Average Value of a Function - Correct Answers average value of f(x) - Correct Answers = 1/(b-a) ∫ f(x) dx on interval a to b Chain Rule - Correct Answers f '(g(x)) g'(x) converges absolutely - Correct Answers alternating series converges and general term converges with another test converges conditionally - Correct Answers alternating series converges and general term diverges with another test definite integral - Correct Answers has limits a & b, find antiderivative, F(b) - F(a) derivative of arcsin u - Correct Answers derivative of arctan u - Correct Answers derivative of parametrically defined curve x(t) and y(t) - Correct Answers dy/dx = dy/dt / dx/dt Direct comparison test - Correct Answers dP/dt = kP(M - P) - Correct Answers logistic differential equation, M = carrying capacity Elementary Series for cos x - Correct Answers Elementary Series for e^x - Correct Answers Elementary Series for ln x - Correct Answers Elementary Series for sin x - Correct Answers