Free Response Questions 1969-2005 Compiled by Kaye Autrey for face-to-face student instruction in the AP Calculus classroom 1 AP Calculus Free-Response Questions 1969 AB 1 Consider the following functions defined for all x: f1 ( x) = x f 2 ( x) = x cos x f3 ( x) = 3e2 x f 4 ( x) = x − x Answer the following questions (a‚ b‚ c‚ and d) about each of these functions. Indicate your answer by writing either yes or no in the appropriate space in the given rectangular grid. No justification
Premium Function Derivative Analytic geometry
4 Titration Curve of an Amino Acid pH Simple amino acid Acidic amino acid Basic amino acid 7 OH- equivalents Objectives: A) To determine the titration curve for an amino acid and B) to use this curve to estimate the pKa values of the ionizable groups of the amino acid and the amino acid’s pI. Introduction: A titration curve of an amino acid is a plot of the pH of a weak acid against the degree of neutralization of the acid by standard (strong) base. Consider the ionization
Premium Acid Amino acid Acid dissociation constant
This essay will be an overview on the Jamaican Patois. There will be an analysis of the relationship between this creole and the jamaican official national language. Then it will explain briefly some phonological and grammatical aspect of this variety. JAMAICAN PATOIS: DE FACTO LANGUAGE OF NATIONAL IDENTITY 1. INTRODUCTION Jamaican Patois is a creole language spoken in Jamaica and in a part of the caribbean area (U.S.A‚ Puerto Rico‚ Panama and Costa Rica). It is called Jamaican Creole by specialists
Premium English language Jamaica Caribbean
and Jane loves Mark‚ and Mark has a crush on Sarie‚ Tom must have a crush on Sarie. 11. It’s after 11. It’s after your bedtime. 12. Using and mentioning words are quite different‚ but in spoken language the difference is obvious thanks to inflection and gesture‚ therefore in writing‚ something novel is needed to make the difference apparent. 13. “He couldn’t have been gone long; this IV is still pretty full.” –from Law and Order SVU May 13‚ 2008. 14. “Says he doesn’t watch it; then
Premium Argument Sentence Semantics
1. Why does English have a large vocabulary compared to other languages? Please give reasons to support your argument. (1) its extensive廣泛contacts with other languages. (2) the large numbers of people all over the world use it. (3) the increasingly many purposes for which is used. 2. Do you agree that “what a word means today is what it meant in the past?” Please explain what etymology詞源學can help with today’s meaning of a word. I don’t agree because language would change gradually as the
Premium Word Linguistics German language
V-non-final (= V-initial; V-second; V-medial) Mod.-Head ~ Head-Mod. OV ~ VO * Clause order = mirrored by phrasal order: i.e. the cat’s tail (MH) ~ the tail of the cat (HM) MH or OV lgs. are usually prepositional (OV herein) and have case inflections‚ whereas HM or VO lgs. are usually postpositional (VO in here) * OE. basically V-final –> PDE basically V-non-final (most frequently V-second): OV –> VO * This change implies coexisting patterns‚ but not indeterminate
Premium Sentence Subject Clause
Six Rules of Effective Forecasting Q1: Write a summary about the six rules of effective forecasting? Paul Saffo is the author of the article of six rules for effective forecasting. He points out that effective forecasting is very different from accurate forecasting as it is possible that a forecast is effective but it may or may not be accurate. Accurate forecasting entails being unsure of the situation and one should not race to answers. Effective forecasting on the other hand means looking at
Premium Future Forecasting Prediction
preciseness of image and appropriateness of languages‚ feeling and accurate poetic form. He wrote in a philosophical‚ introspective mode‚ and his unpretentious yet restrained conversational style. He was the path breaker in the use of modern speech inflections within the framework of formal verse patterning. Despite of using English‚ the colonial language‚ to craft his works‚ the poet adeptly maintained his rootedness in the Indian ethos‚ which was evident in his series of eight poems‚ ‘Very Indian
Premium Poetry
to quickly recall any information that was discussed if necessary. Auditory learners do not do well with written exams and reading material. On the contrary‚ they tend to thrive simply by absorbing information presented through the tones‚ and inflections‚ speed‚ volume‚ and pitch of their instructors ’ voice. Because an auditory learner tends to enjoy a classroom that focuses more on discussion than solitary reading‚ they tend to have more success in classes where there is lots of discussion and
Premium Kinesthetic learning Educational psychology Education
LABORATORY REPORTS WRITTEN FULL REPORTS The text of this report should be approximately 5 pages long (the data and figures will take additional pages). It should be neat‚ legible‚ well organized and include the following : 1. COVER SHEET Title of experiment‚ date of experiment‚ your name and your lab partners. 2. INTRODUCTION Include a brief introduction that explains the purpose of the report and the purpose of the experiment. The introduction should also include any other introductory/background
Premium Experiment Theory Laboratory