Unit 4 Progress Check-FRQ Part B.pdf - AP Calculus BC...

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AP Calculus BC Scoring Guide Unit 4 Progress Check: FRQ Part B Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 1 of 8 1. NO CALCULATOR IS ALLOWED FOR THIS QUESTION. Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Unless otherwise specified, the domain of a function is assumed to be the set of all real numbers for which is a real number. The depth of water in a zoo aquarium at a certain point is modeled by the function defined above, where is measured in feet and time is measured in hours. (a) Find . Using correct units, explain the meaning of in the context of the problem. Please respond on separate paper, following directions from your teacher. (b) The graph of is concave up for . Use the line tangent to the graph of at to show that . Please respond on separate paper, following directions from your teacher. (c) Find .
AP Calculus BC Scoring Guide Unit 4 Progress Check: FRQ Part B Copyright © 2017. The College Board. These materials are part of a College Board program. Use or distribution of these materials online or in print beyond your school’s participation in the program is prohibited. Page 2 of 8 Please respond on separate paper, following directions from your teacher. Part A The first 2 points may be earned with the presence of a correct numerical answer. The second point may be earned with a maximum of one sign error in The third point requires a time reference, rate, and units. The response is eligible for the third point if the second point is earned AND provided the behavior described is consistent with the sign of the

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