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AP®︎ Calculus AB: Topic 7.3 Practice Test

Prepare for your quiz, test, or the AP exam with focused practice questions on Topic 7.3 of AP Calculus AB – Sketching Slope Fields.

Questions List

Topic 7.3

Q10

Q11

Q12

Q13

Q14

Q15

Question 1 Easy

Let $y=f(x)$ be a solution of $\frac{dy}{dx}=y-x^2$ with $f(1)=4$ .

What is the slope of the line tangent to the graph of $f$ at $x=1$ ?

4

BIt cannot be determined without first solving the differential equation.

3

1

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 7.3: Sketching Slope Fields

Learning Objective: FUN-7.C

Estimate solutions to differential equations.

Essential Knowledge: FUN-7.C.1

A slope field is a graphical representation of a differential equation on a finite set of points in the plane.

Essential Knowledge: FUN-7.C.2

Slope fields provide information about the behavior of solutions to first-order differential equations.

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AP®︎ Calculus AB: Topic 7.3 Practice Test

Question 1 Easy

What You’re Being Tested On:

Learning Objective FUN-7.C: FUN-7.C.1, FUN-7.C.2