AP®︎ Calculus AB: Topic 7.7 Practice Test
Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 7.7 of AP Calculus AB – Finding Particular Solutions Using Initial Conditions and Separation of Variables.
Questions List
Topic 7.7
Question 1 Easy
The slope field for and four labeled curves are shown.
Which labeled curve is the graph of the solution satisfying ?
What You’re Being Tested On:
Explore the learning objectives taken directly from the College Board’s AP® Calculus AB Curriculum. Ensure you’re prepared for the exact topics covered on the AP® exam, in-class tests, and quizzes, and gain confidence in your mastery of the material.
Topic 7.7: Finding Particular Solutions Using Initial Conditions and Separation of Variables
Learning Objective: FUN-7.E
Determine particular solutions to differential equations.
Essential Knowledge: FUN-7.E.1
A general solution may describe infinitely many solutions to a differential equation. There is only one particular solution passing through a given point.
Essential Knowledge: FUN-7.E.2
The function F defined by F(x) = y(a) + ∫_a^x f(t, y(t)) dt is a particular solution to the differential equation dy/dx = f(x, y), satisfying F(a) = y(a).
Essential Knowledge: FUN-7.E.3
Solutions to differential equations may be subject to domain restrictions.
