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Calculus 1 Final Exams.

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STUYVESANT HIGH SCHOOL MATHEMATICS DEPARTMENT Stanley Teitel, Principal Daniel Jaye, A. P. S. MAXX FINAL EXAMINATION January, 2003 Calculators are NOT permitted on this examination. Part I. Answer all questions on the NCS (SCANTRON) answer sheet (3 points each). 1. 4 23lim 2 2 2 ? +? ? x xx x = (A) 0 (B) 4 1 (C) 2 1 (D) 2 (E) ? 2. ? ? ? 2 3sinlim 0? = (A) 6 1 (B) 2 1 (C) 3 2 (D) 2 3 (E) 6 3. Let ?? ?? ? ?>+ ??? = 2 2 1 222 )( 2 xifkx xifx xf . If f is continuous at x = -2, then k = (A) -2 (B) 0 (C) 2 (D) 5 (E) 7 4. 34 13lim 2 ? + ??? x x x = (A) 0 (B) 2 3 (C) 2 3 ? (D) 4 3 (E) 4 3 ? 5. h h h 32)2(lim 5 0 ?+ ? (A) 0 (B) 16 (C) 64 (D) 80 (E) 120 6. The slope of the tangent line to the graph of y = sin(3x) at ??

Rescorla-Wagner (1972) Theory of Classical Conditioning

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Rescorla-Wagner (1972) Theory of Classical Conditioning Rescorla-Wagner Theory (1972) Organisms only learn when events violate their expectations (like Kamin?s surprise hypothesis) Expectations are built up when ?significant? events follow a stimulus complex These expectations are only modified when consequent events disagree with the composite expectation Rescorla-Wagner Theory These concepts were incorporated into a mathematical formula: Change in the associative strength of a stimulus depends on the existing associative strength of that stimulus and all others present If existing associative strength is low, then potential change is high; If existing associative strength is high, then very little change occurs

Writing Comparison Essay Reminder

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Clearly state the thesis Thesis needs to have a point of view and create a road map for the rest of your essay Make sure you answer the question in your introduction (address the whole question) Make sure to compare (use historical evidence and make multiple comparisons) Vary how you say things (different words) Simple conclusion that sums up everything you already said (no new information) You only have 40 minutes to make an outline and write your essay.
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Egypt and Mesopotamia: Compare and contrast essay

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Compare and Contrast? Egypt and Mesopotamia There are many similarities between Egypt and Mesopotamia, but there also are many differences between them. One similarity between the Egyptian and Mesopotamian civilizations is that they both have similar social classes. Mesopotamian social classes include kings, farmers, priests, and slaves. Egyptian social classes include kings, priests, farmers, and slaves/peasants as well. Another similarity between the Egyptian and Mesopotamian civilizations is that they both had polytheistic religions, although it is said that the pharaoh Akhenaten of Egypt tried to introduce polytheism to his subjects but never succeeded.

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