When solving differential equations explicitly, students can use slope fields to verify that the explicit solutions match the graphical solutions.
These are answers that can be found by making one simple miscalculation or using a method that does not apply to the problem.Slope fields are an excellent way to visualize a family of solutions of differential equations. Multiple choice questions can quickly trick us, because if we see our first answer there, we assume it must be right, right?ĪP makes what I like to call good wrong answers. Not only making the problem and correct answer, but also the wrong answers. Many teachers, college and high school level, put a lot of work into making these multiple choice questions. How do we represent and integral on a graph? We take the area! With a few geometric calculations, we should get B as an answer. It is an integral of the function f, which we have the graph of. Since we need g(5), we look to what g is. To solve this problem, it is important to make sure you understand integrals, and the connection between having the graph of f, but knowing that we are looking for a value of g.Īs I stated earlier, first thought: What are you looking for? We need to find g(5). It is helpful to focus on what the question is asking you to find, then bring the representation into it to figure out how you can use it to help you get to your answer. For example, an integral through a function, a table, and a graph, will all challenge your knowledge of integrals in a different way. It is important that when preparing for the AP exam, you practice problems with every type of function and every representation. These are the sections where they ask a bit more straight-forward skills questions. In the multiple-choice section, there is only so much that can be asked that is able to be done in 2 or 3 minutes. This is because of the six 9-point questions in the free response section that also adds to 54%. For each question there will be 4 choices.ĪP Scores your multiple choice questions by taking the number of questions you got write and multiplying by 1.2. (The other 50% comes from the free response questions). The multiple choice sections of the exam combine to count as 50% of the exams score.
Unit 10: Infinite Sequences and Series (BC ONLY) Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions (BC ONLY) Unit 6: Integration and Accumulation of Change Unit 5: Analytical Applications of Differentiation Unit 4: Contextual Applications of Differentiation Unit 3: Differentiation: Composite, Implicit, and Inverse Functions Unit 2: Differentiation: Definition and Fundamental Properties
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