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HIST 202 Lecture 1: Week 1 Notes

find more resources at oneclass.com Tuesday, August 29 Class will usually reach the 350 BCE point Final paper is 2000 words (10 pages) (kill me) Greece includes islands all ar...

History
HIST 202
Papakonstantinou Zinon
MATH 180 Study Guide - Final Guide: Power Rule, Intermediate Value Theorem, Product Rule
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Math 180, Exam 1, Practice Fall 2009 Problem 1 Solution 1. Evaluate the following limits, or show they do not exist. (a) x 2cosx x 4 (b) lim x2 x + 2 2 x 5 (c) lim x9 x 9 Solution: (a) The function f(x) = 2cosx is continuo...

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MATH 180
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MATH 180 Study Guide - Final Guide: Intermediate Value Theorem, Quotient Rule, Product Rule
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Math 180, Exam 1, Spring 2010 Problem 1 Solution 1. Evaluate the following limits, or show that they do not exist. x 9 (a) lim x9 x 3 x 3x + 2 (b) lim 3 x1 x 1 x + 1 (c)x1 2x + 2 Solution: x 9 (a) When substituting x = 9 i...

Mathematics
MATH 180
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MATH 180 Study Guide - Final Guide: Product Rule, Power Rule, Quotient Rule
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Math 180, Exam 1, Fall 2007 Problem 1 Solution x + 2x 3 1. Find the limit, lim . x1 x x x + 2x 3 Solution: Upon substituting x = 1 into the function f(x) = we nd that x x x + 2x 3 1 + 2(1) 3 0 = = x x 1 1 0 which is indete...

Mathematics
MATH 180
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MATH 180 Study Guide - Final Guide: Quotient Rule, Product Rule, Power Rule
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Math 180, Exam 1, Fall 2009 Problem 1 Solution 1. Evaluate the following limits. x 6x + 8 (a) lim x2 x 2 2 x 6x + 8 (b) x1 x 2 Solution: 2 x 6x + 8 (a) Upon substituting x = 2 into the function f(x) = x 2 we nd that 2 2 x ...

Mathematics
MATH 180
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MATH 180 Study Guide - Final Guide: Classification Of Discontinuities, Quotient Rule, Product Rule
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Math 180, Exam 1, Spring 2008 Problem 1 Solution 1. The graph of a function f(x) is shown below. (a) At which values of x is f discontinuous? Which of these discontinuities are removable? Which are jump discontinuities? (b...

Mathematics
MATH 180
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MATH 180 Study Guide - Final Guide: Product Rule, Power Rule, Quotient Rule
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Math 180, Exam 1, Spring 2009 Problem 1 Solution 1. Evaluate the limits, if they exist: x + 1 (a) lim 2 x1 x + 1 2 2x 7x + 3 (b) x3 2 3x x Solution: x + 1 (a) The function f(x) = x + 1 is continuous at x = 1. In fact, f(x)...

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MATH 180
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MATH 180 Study Guide - Final Guide: Quotient Rule
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Math 180, Exam 1, Spring 2013 Problem 1 Solution 1. Find the value of constant c for which the function given by ( cx + 5, x 1 f(x) = x + x 3c, x < 1 is continuous at all points on the real line. 2 Solution: First we note ...

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MATH 180
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MATH 180 Study Guide - Final Guide: Power Rule, Intermediate Value Theorem
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Math 180, Exam 1, Fall 2011 Problem 1 Solution 1. Evaluate the following limits. Show your work. 2cosx (a) lim x0 x + 1 2 2 2x + 4x 1 (b) x+ x + 1 Solution: 2 cos x (a) The function f(x) = x+12 is continuous for all x (13)...

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MATH 180
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MATH 180 Study Guide - Final Guide: Quotient Rule, Intermediate Value Theorem
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Math 180, Exam 1, Spring 2011 Problem 1 Solution 1. Evaluate the following limits, or show that they do not exist 2 (a) limx + x 6 x2 x 4 x 9 (b) lim x3 x + 9 x 2 (c)x2m x 2 Solution: (a) Upon substituting x = 2 we nd that...

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MATH 180
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MATH 180 Study Guide - Final Guide: Quotient Rule, Asymptote, Intermediate Value Theorem
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Math 180, Exam 1, Fall 2012 Problem 1 Solution 1. Compute the derivatives of the following functions: x (a) y = 1 + x (b) y = sin( x + 1) p (c) y = x sin(x) + 1 Solution: (a) The derivative may be computed using the Quotie...

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MATH 180
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MATH 180 Study Guide - Final Guide: Quotient Rule
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Math 180, Exam 1, Fall 2013 Problem 1 Solution 1. Calculate each limit below. (a) lim 14 2 x7 x 7x x 7 4 (b) lim 19x + 2x 1 x 3x + 16x + 100 Solution: 2 (a) The least common denominator of the function is x 7x. Thus, the f...

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MATH 180
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MATH 180 Study Guide - Final Guide: Intermediate Value Theorem, Quotient Rule, Product Rule
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Math 180, Exam 1, Spring 2012 Problem 1 Solution 1. Let c be a real number. Given (x 1)2 x 3 f(x) = 6 cx x > 3 answer the following questions: (a) Compute the left hand limit, lim f(x). x3 (b) Compute the right hand limit,...

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MATH 180
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MATH 180 Study Guide - Final Guide: Asymptote
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Math 180, Exam 1, Spring 2014 Problem 1 Solution 1. Find lim tan. 0 Solution: The limit is indeterminate because, upon substituting = 0, the function value tends toward 00. This indeterminacy may be resolved by rewriting t...

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MATH 180
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MATH 180 Study Guide - Final Guide: Quotient Rule, Power Rule, Product Rule
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Math 180, Exam 1, Study Guide Problem 1 Solution 1. What is the slope of the linear function f(x) whose graph goes through the points (12) and (44)? What is the value of f(7)? Solution: The slope of the line that goes thro...

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MATH 180
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