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Slope Fields

Slope Fields

Graphing and analyzing slope fields and comparing relationships to differentiable equations and indefinite integrals. Identifying the relationship between slope fields and differential equations.

Mapped to AP College Board # FUN-7, FUN-7.C, FUN-7.C.1, FUN-7.C.2, FUN-7.C.3

Solving differential equations allows us to determine functions and develop models. Estimate solutions to differential equations. A slope field is a graphical representation of a differential equation on a finite set of points in the plane. Slope fields provide information about the behavior of solutions to first-order differential equations. Solutions to differential equations are functions or families of functions.