AP Calculus AB FRQ 2023 Questions And Answers

AP Calculus AB is a college-level calculus course designed to introduce students to the concepts and techniques of differential and integral calculus. It covers topics typically found in a first-semester college calculus course.

Questions And Worked Solutions For AP Calculus AB FRQ 2023

Click on the following image to get the complete paper of AP Calculus AB 2023 Free Response Questions. Scroll down the page for step-by-step solutions.

 
AP Calculus AB 2023 Free Response Questions - Complete Paper (pdf)

1. A customer at a gas station is pumping gasoline into a gas tank. The rate of flow of gasoline is modeled by a differentiable function f, where f(t) is measured in gallons per second and t is measured in seconds since pumping began.
2. Stephen swims back and forth along a straight path in a 50-meter-long pool for 90 seconds. Stephen’s velocity is modeled by v(t)=2.38e^(-0.02t)sin*((pi/56)t).
3. A bottle of milk is taken out of a refrigerator and placed in a pan of hot water to be warmed. The increasing function M models the temperature of the milk at time t.
4. The function f is defined on the closed interval [-2,8] and satisfies f(2)=1. The graph of f’, the derivative of f, consists of two line segments and a semicircle, as shown in the figure.
5. The functions f and g are twice differentiable. The table shown gives values of the functions and their first derivatives at selected values of x.
6. Consider the curve given by the equation 6xy = 2 + y³.

Key Topics in AP Calculus AB:
The course content is organized into eight commonly taught units, which have been arranged in the following suggested, logical sequence:
■ Unit 1: Limits and Continuity
■ Unit 2: Differentiation: Definition and Fundamental Properties
■ Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
■ Unit 4: Contextual Applications of Differentiation
■ Unit 5: Analytical Applications of Differentiation
■ Unit 6: Integration and Accumulation of Change
■ Unit 7: Differential Equations
■ Unit 8: Applications of Integration

AP Calculus AB Exam Structure
The AP Calculus AB exam is divided into two sections: Multiple Choice and Free Response.

Section I: Multiple Choice
45 Questions | 1 Hour 45 minutes | 50% of Exam Score
Part A: 30 questions; 60 minutes (calculator not permitted).
Part B: 15 questions; 45 minutes (graphing calculator required).
Questions include algebraic, exponential, logarithmic, trigonometric, and general types of functions.
Questions include analytical, graphical, tabular, and verbal types of representations.

Section II: Free Response
6 Questions | 1 Hour 30 Minutes | 50% of Exam Score
Part A: 2 questions; 30 minutes (graphing calculator required).
Part B: 4 questions; 60 minutes (calculator not permitted).
Questions include various types of functions and function representations and a roughly equal mix of procedural and conceptual tasks.
Questions include at least 2 questions that incorporate a real-world context or scenario into the question.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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