Calculus 2 formula sheet pdf pdf#

People’s Physics book 3e Ch 25-1 The Key Equations: a = dv/dt = d²x/dt² Acceleration is the time derivative of velocity. Harmonic Motion can be written as a differential equation.Other Integrals include moment of inertia, where mass varies with radius and rotational work, where torque varies with angle.Other Derivatives include rotational velocity-angle with respect to time angular acceleration-rotational velocity with respect to time.The area under the curve of a graph of force vs. Impulse is the time integral of force as a function of time.Work is the integral of force as a function of displacement times displacement.The slope of the tangent to the line of a graph of displacement vs. Velocity is the derivative of displacement with respect to time.The slope of the tangent to the line of a graph of velocity vs. Acceleration is the derivative of velocity with respect to time.The integral gives an infinite sum of the product of a force that varies with displacement times displacement (work), or similarly if the force varies with time (impulse). The derivative gives the instantaneous rate of change of displacement (velocity) and of the instantaneous rate of change of velocity (acceleration).

In these situations algebraic formulas cannot do better than approximate the situation, but the tools of calculus can give exact solutions.

$calculus 2 formula sheet pdf$

Calculus 2 formula sheet pdf pdf#

Download Calculus based physics formula sheet and more Calculus Study notes in PDF only on Docsity! The Big Idea: In most realistic situations forces and accelerations are not fixed quantities but vary with time or displacement.