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This document outlines 5 objectives for graphing and analyzing sine and cosine functions using transformations: 1) graph y = 5sin(x) and determine its domain and range, 2) graph y = -cos(2x) and determine its domain and range, 3) determine the amplitude and period of y = -4cos(3x), 4) graph y = 4sin(2x) using key points, and 5) graph an unspecified function using key points and determine its domain and range.
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香港六合彩
都怕香港六合彩的嘴。似乎嘴皮薄的人才擅长能说会道，王秀的厚嘴却也擅长，可见是对人们观念的一种颠覆。呵呵。周晨晨笑着碰了一下落魄的王秀，这一碰，香港六合彩差点从凳子上掉下。香港六合彩……香港六合彩，夫唱妇随！王秀从大脑深处搜出这么一个词，听得相关的两个人脸红了半天也没人表示要为这句话追讨名誉损失。嘴里刚咬进一大口汉堡包的王峰，可谓真正的瞠目结舌。这话太刺激人，香港六合彩王秀的嘴也太拙不择言了。但汉堡包毕竟有个男子汉的汉字，又有堡垒的堡字，王峰撑开的嗓子眼开始反抗，话可不能这么说，夫唱妇随是贬义词，王秀你这是侮辱人，知道吗？就是。子允附和道，还是哥们说话在理。应该是嫁(又鸟)随(又鸟)，嫁狗随狗。子允料不到王峰会给自己留这么一手，毫无戒备地吃了个闷棍。王秀大笑，王峰却心有余悸地看着周晨晨，说完后香港六合彩才发现这话冲着香港六合彩的。其实香港六合彩根本没有瞄准目标是谁，只是想勾动板机一下，也有插句话的本意。周晨晨笑中带羞，与王峰略带歉意的目光交错。王峰见不是担心的表情，才放下悬着的心。见王峰这样开自己玩笑，子允好气又好笑，王峰用词跟王秀不同，意思却差不多。香港六合彩得报复一下，也好把王峰的话更好地融入玩笑的气氛，否则这话会未免显得太那个。香港六合彩想从王峰和王秀都姓王入手，再从秀和峰上深入，但香港六合彩两个人条件相差太多，效果上难以精彩。子允准备另辟蹊径，又苦于拘谨的王峰没留下什么破绽，香港六合彩想引诱香港六合彩，人得意忘形时才最容易出纰漏。沉默让饥饿的香港六合彩得以专心享受饱食的乐趣，子允的乐趣还在于咀嚼王秀和王峰说的话，一种朦胧的关系如果被人歪来正去地当众说开，很有种三级片女主角脱而不脱的感觉。子允喜欢这种感觉，这种情形在影视中常会出现，往往起着推波助澜作用。子允曾笑过香港六合彩傻，现在发现所谓的傻有时也有傻的妙处。不知王秀因为什么也闭上了嘴，在子允现在的印象中，好像王秀的嘴要么是说，要么是吃，反正不能又吃又说，或者吃着说着，所以香港六合彩的沉默跟赶紧吃盘子里还没吃掉多少的东西有关。王秀说话速度快，吃的速度也快。香港六合彩举起左手一看，眼皮立即抽过脂似的抬高许多，但直到咽干净嘴里的东西才说，看，十二点半了。时间真快，还有十分钟就要关校门了。子允更慌，香港六合彩还处在马老师的热点察看期。显然你是个乐观主义者，我敢说，老班已在班上点名了。王峰早可以吃完的，但越吃越慢，香港六合彩不愿吃完后看别人吃，也不愿给女生留下狼吞虎咽的印象。说过刚才那句话后，香港六合彩越想越觉得不合适，应该再说句什么缓和一下的，但当时没太意识到，想到后又不好再拿过来说。刚才的话虽说是当玩笑说的，但有失平时风格，这让香港六合彩懊恼不已。所以王秀一开口，香港六合彩便笑着接子允的茬，虽不太合时适，总算结合紧密。子允不知道王峰为什么会为自己不值得一笑的话配上这么多笑容，但也笑了笑。香港六合彩站起来看着周晨晨，香港六合彩也一笑，好像无所谓迟不迟到。这让子允安定不少，也让子允感动不小，因为这时香港六合彩越无所谓，就说明越对子允好感，越有同甘共苦的决心。那怎么办？香港六合彩怎么解释？
AP Calculus AB March 16, 2009
The document describes the population density in Greater Boston using a semicircle model. The population density is constant at 1 mile from the center and then decreases according to a provided table as the distance from the center increases. It asks the reader to (a) use the data and Riemann sums to estimate the total population within 8 miles of the center, and (b) determine a possible formula for population density as a function of distance and use it to estimate the total population.
Integration application (Aplikasi Integral)
Materi kuliah tentang Aplikasi Integral. Cari lebih banyak mata kuliah Semester 1 di: http://muhammadhabibielecture.blogspot.com/2014/12/kuliah-semester-1-thp-ftp-ub.html
Calculus 4.1-4.3
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AP Calculus Slides February 29, 2008
This document provides sample questions and problems related to calculus and integrals. It includes multiple choice questions about the maximum acceleration and position of an object moving with respect to time. It also provides population density data for areas within 8 miles of a city center and asks to use this data to estimate the total population using Riemann sums and determining a formula for population density as a function of distance from the center.
Problem reduction AND OR GRAPH & AO* algorithm.ppt
This document summarizes AND-OR graphs and the AO* algorithm. It defines AND-OR graphs as being useful for representing problems that can be solved by decomposing them into smaller subproblems. It then outlines the basic AND-OR graph algorithm involving initializing a graph, expanding nodes, and computing f' values for successor nodes. Finally, it describes the key aspects of the AO* algorithm, which uses AND-OR graphs to represent problems that can be divided into parts that can be combined. The AO* algorithm involves initializing a graph with the initial node, expanding nodes, generating successors, computing h' values, and propagating decision information back through the graph.
Graphing day 1 worked
This document discusses graphing sine and cosine functions. It defines periodic functions and notes that sine and cosine have a period of 2π. The properties of sine are described as having a domain of (-∞, ∞), range from -1 to 1, and amplitude equal to the absolute value of A. Similarly, cosine has a period of 2π, domain of (-∞, ∞) and range from -1 to 1. Translating sine and cosine functions is also discussed, noting that amplitude and period can change based on coefficients of x and constants added. Examples are provided to demonstrate stating the amplitude and period of various sine and cosine graphs.
I. AO* SEARCH ALGORITHM
Artificial Intelligence: Introduction, Typical Applications. State Space Search: Depth Bounded
DFS, Depth First Iterative Deepening. Heuristic Search: Heuristic Functions, Best First Search,
Hill Climbing, Variable Neighborhood Descent, Beam Search, Tabu Search. Optimal Search: A
*
algorithm, Iterative Deepening A*
, Recursive Best First Search, Pruning the CLOSED and OPEN
Lists
0606 m18 2_2_qp
This document consists of a 16 page mathematics exam with multiple choice and free response questions covering topics like algebra, trigonometry, calculus, and geometry. The document provides the standard information for exam takers such as instructions, mathematical formulas, worked examples, and blank pages for solutions.
Graphing day 2 worked
This document discusses translations of trigonometric functions, specifically phase shifts and horizontal shifts. It explains that a phase shift is represented by y=a sin(bx+c) or y=a cos(bx+c) where if c>0 it is a left shift and if c<0 it is a right shift. It also gives examples of specific phase shifts and translations, instructing the reader to state the shift and graph each function. Finally, it lists homework problems on page 395, questions 61-68.
Unit 9 lesson 4 area of trap & rhombus
This document is a worksheet for students on calculating the areas of trapezoids and rhombuses. It defines a trapezoid as a quadrilateral with one pair of parallel sides, and its area formula as A=1/2(b1+b2)h, where b1 and b2 are the two bases and h is the height. A rhombus is defined as a quadrilateral with four sides of equal length, and its area formulas are given as A=1/2d1d2 or A=d1d2, where d1 and d2 are the two diagonals. Students are provided examples and then asked to calculate the areas of sample trapezoids and
Math(F5) Gradient And Area Under A Graph 6.2
This document discusses finding the area under a graph and using it to determine distance traveled from speed-time graphs. It explains that the area under a graph represents the product of the quantities on the horizontal and vertical axes. For speed-time graphs specifically, the area gives the total distance traveled by calculating the area under pieces of the graph using appropriate formulas for shapes like triangles, rectangles, and trapezoids. Examples are provided of graphs with uniform, linearly increasing, and varying speeds.
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The document discusses three forms of quadratic equations - standard, vertex, and intercept form - and how to graph each. It provides the key characteristics and steps to graph quadratics in each form. It also discusses two special factoring patterns for standard form and how to convert between the three forms.
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And or graph problem reduction using predicate logic
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- 1. Section 6.4 Graphs of the Sine and Cosine Functions
- 6. OBJECTIVE 1
- 7. Graph y = 5 sin x using transformations. Use the graph to determine the domain and the range of y = 5 sin x .
- 8. Graph using transformations. Use the graph to determine the domain and the range of
- 12. OBJECTIVE 2
- 13. Graph y = – cos (2 x ) using transformations. Use the graph to determine the domain and the range of y = – cos (2 x ) .
- 16. OBJECTIVE 3
- 18. Amplitude
- 21. Determine the amplitude and period of y = – 4 cos (3 x )
- 22. OBJECTIVE 4
- 24. Graph y = 4 sin (2 x ) using key points.
- 26. Graph using key points.
- 27. Graph using key points.
- 28. OBJECTIVE 5
- 30. -5 5 -2 2