BC Calculus Flashcards

Particle is changing direction

Particle is farthest right/forward/up

Particles speed is increasing

Total distance traveled over [a,b]

Displacement over [a,b]

Average speed over [a,b]

Average velocity over [a,b]

Average acceleration over [a,b]

Taylor Polynomial about x = a

Maclaurin Polynomial

Maclaurin Series for cos(x)

Maclaurin Series for sin(x)

Maclaurin Series on e^x

Maclaurin Series for 1/(1-x)

Approximation Error of an alternating series

Approximation Error of a non-alternating series

To find the interval of convergence of a power series

Length of a curve in Cartesian form

Integration by parts

Trapezoidal Riemann sum is an overapprox. when

Trapezoidal Riemann sum is an underapprox. when

Left Riemann sum is an overapprox. when

Left Riemann sum is an underapprox. when

Right Riemann sum is an overapprox. when

Right Riemann sum is an underapprox. when

Tangent line approx. is an overapprox. when

Tangent line approx. is an underapprox. when