Applications+of+Antidifferentiation

media type="custom" key="5944949" flat toc =Antidifferentiation (Applications of Antidifferentiation)= It is expected that students will use antidifferentiation to solve a variety of problems.

It is expected that students will:
 * use antidifferentiation to solve problems about motion of a particle along a line that involve:
 * computing the displacement given initial position and velocity as a function of time
 * computing velocity and/or displacement given suitable initial conditions and acceleration as a function of time
 * use antidifferentiation to find the area under the curve [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc275.GIF width="44" height="15"]], above the //x//-axis, from //x = a to x = b.//
 * use differentiation to determine whether a given function or family of functions is a solution of a given differential equation
 * use correct notation and form when writing the general and particular solution for differential equations.
 * model and solve exponential growth and decay problems using a differential equation of the form: [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc279.GIF width="40" height="28" align="middle"]]
 * model and solve problems involving Newton’s Law of Cooling using a differential equation of the form: [[image:http://www.bced.gov.bc.ca/irp/math1012/images/calc278.GIF width="58" height="28" align="middle"]]