EEE233 (SEM2-2012/13) TUTORIAL 1: PARTIAL DIFFERENTIAL EQUATIONS 1. Solve the following equations a) ∂2u∂x2=24x2(t-2)‚ given that at x=0‚ u=e2tand ∂u∂x=4t. b) ∂2u∂x∂y=4eycos2x‚ given that at y=0‚ ∂u∂x=cosx and at x=π‚ u=y2. 2. A perfectly elastic string is stretched between two points 10 cm apart. Its centre point is displaced 2 cm from its position of rest at right angles to the original direction of the string and then released with zero velocity. Applying
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Calculus Cheat Sheet Derivatives Definition and Notation f ( x + h) - f ( x) . If y = f ( x ) then the derivative is defined to be f ¢ ( x ) = lim h ®0 h If y = f ( x ) then all of the following are equivalent notations for the derivative. df dy d f ¢ ( x ) = y¢ = = = ( f ( x ) ) = Df ( x ) dx dx dx If y = f ( x ) then‚ If y = f ( x ) all of the following are equivalent notations for derivative evaluated at x = a . df dy f ¢ ( a ) = y ¢ x =a = = = Df ( a ) dx x =a dx
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TV Shows and Real Life TV shows are probably the primary source of entertainment for the average American. Most of them run from 7 p.m. to 10 p.m. with reruns starting at 5 p.m. We watch them because they give us something to do‚ a way to relax‚ something to help pass the time. We all watch different shows‚ some people like "Married...with Children"‚ some are repulsed with it‚ but like to watch "Home Improvement"‚ what draws particular crowds to certain shows? How do these shows portray the
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understanding of mathematics‚ along with the means for investigating ideas and developing thinking skills. I share the school ethos that recognises mathematics as an important tool in everyday life and strives to provide children with the necessary skills to tackle a range of practical tasks and real- life problems. At school‚ we all aim to provide a challenging and enjoyable curriculum for all children that helps build their confidence in mathematics and enables them to work with increasing accuracy
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Though Awiyao and Lumnay need to follow tradition‚ the readers can feel the between them. VII. Real Life In real life‚ many couple are now separating. Sometimes one the reason of this was they couldn’t have a child. I. Magnificence II. Author Estrella Alfon - was a well-known Filipina author who wrote almost exclusively in English. As a Filipino writer‚ Estrella Alfon lived her life of being a prolific writer who hailed from Cebu. She then became a member of the U. P. writers club
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John Robinson’s real experience parallel’s to the fictional story of Charlie Gordon because of the common things they both shared. For example‚ they both had brain disorders where they were mental disabled and couldn’t do certain things. Both experienced bad friends that used them for fun and made them a joke in front of everyone. This is paralleled to Charlie by Franny and Joe who acted to be his friend‚but used him and crossed the line for certain things. John and Charlie were treated less than
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SPH4U-B 4 Circular Motion Physics SPH4U-B Lesson 4 Introduction Transportation has undoubtedly advanced. Not only have vehicles changed‚ but the means by which people can get themselves to and from different locations has changed as well. Maps and compasses now take a backseat to the Global Positioning System (GPS). Access to the GPS is now very widespread; 24 satellites above our atmosphere are used to send and receive information in order to accurately determine locations of
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Theories to Real-Life Situations Selena Rabago Everest College Theories to Real-Life Situations Introduction Describe your family environment based on Hagan ’s Power-Control Theory. Do you see your behavior as being affected by coming from either a paternalistic or egalitarian family? I see my behavior as paternalistic‚ because I’m the
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plague. A war started by jealousy‚ carried on by reputation and ended in tragedy. In the novel‚ the Crucible‚ written by Arthur Miller‚ the Parris family‚ the Procter Family‚ Giles Corey‚ and the Putnam family can be compared and contrasted to their real life personas. Miller demonstrates a rather dramatic story of a group of families pulled together and ripped apart due to a jealous little girl. But his has some big differences to reality. Tituba‚ a slave from Barbados who was owned by the Parris family
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Absolute cell reference | A cell reference that refers to cells by their fixed position in a worksheet; an absolute cell reference remains the same when the formula is copied. | Accounting Number Format | The Excel number format that applies a thousand comma separator where appropriate‚ inserts a fixed U.S. Dollar sign aligned at the left edge of the cell‚ applies two decimal places‚ and leaves a small amount of space at the right edge of the cell to accommodate a parenthesis for negative numbers
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