Item 4B Item 4B Rachel Reiser Maths C Rachel Reiser Maths C Question 1 ab1+f’(x)2 dx y = acosh(xa) If: coshx=12ex+e-x Then: cosh(xa) = 12(exa+e-xa) y = acosh(xa) ∴ y=a(exa+e-xa)2 y=a(exa+e-xa)2 dydx=f’x=ddxa(exa+e-xa)2 dydx=f’x=ddx12aexa+e-xa f’x=12a1aexa+-1ae-xa f’x=exa-e-xa2 f’x2=exa-e-xa22 f’x2=(12exa-12e-xa)(12exa-12e-xa) f’x2=14e2xa-14e0-14e0+14e-2xa f’x2=14e2xa-12+14e-2xa f’x2=14e2xa-2+e-2xa Assuming the catenary is symmetrical‚ the entire length of
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Rome‚ resulting in vast territorial expansion and a consequent shameful exploitation of the provinces. The two Triumvirates which were to follow and the presence of Augustus sounded the demise for the Republic‚ and therefore the rule of the Senate‚ although‚ through the Julio-Claudian era‚ the senate was still very important; with Augustus and Tiberius sincerely interested in maintaining its prestige. Each emperor had a different relationship with the senate. These relationships combined with the individual
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Augustus’ sustainable yet inclusive reign of power‚ combined with his ability to please and play to the Roman masses‚ permitted his reign as ruler to be far more secure than Julius Caesar’s. Both leaders began their reign over Rome in a similar manner. While Julius took over Gaul at his initiation as a leader‚ Augustus took over Egypt in his corresponding commencement. They then continued to wage war against their respective partners in power; Julius against Pompey‚ and Augustus against Marc Antony
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Fall 2013 Bldg 2 Room 247 MATH 111 SYLLABUS College Algebra TIME: Mon‚ Wed 12:00 – 2:20 PM Office: CRN#44230 CREDITS: 5 INSTRUCTOR: Jerry Kissick OFFICE HOURS: Mon‚ Wed COURSE TEXT: College Algebra and Trigonometry‚ Custom Edition for Portland Community College‚ Sullivan and Sullivan PREREQUISITES: MATH 95 completed with a C or better and placement into WR 121. 11:30 – 12:00 PM 2:30 – 3:00 PM 3:00 – 4:00 PM 5:30 – 6:00 PM Bldg 2 Room 244C Phone
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INTERNATIONAL BACCALAURÉAT BACHILLERATO c BACCALAUREATE INTERNATIONAL INTERNACIONAL M02/540/S(1)M+ MARKSCHEME May 2002 FURTHER MATHEMATICS Standard Level Paper 1 9 pages –3– M02/540/S(1)M+ Paper 1 Markscheme Instructions to Examiners 1 Method of marking (a) (b) All marking must be done using a red pen. Marks should be noted on candidates’ scripts as in the markscheme: ! show the breakdown of individual marks using the abbreviations (M1)‚ (A2) etc. ! write down each part mark total‚ indicated
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I. Greek Mathematicians Thales of Miletus Birthdate: 624 B.C. Died: 547-546 B. C. Nationality: Greek Title: Regarded as “Father of Science” Contributions: * He is credited with the first use of deductive reasoning applied to geometry. * Discovery that a circle is bisected by its diameter‚ that the base angles of an isosceles triangle are equal and that vertical angles are equal. * Accredited with foundation of the Ionian school of Mathematics that was a centre of learning and research
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$250‚000 Total Fixed Costs = $525‚000 a)contribution per CD unit $9 - $2.60 = $6.40 b)break-even volume in CD units and dollars 525‚000 / 6.40 = 82‚031.25 units 82‚031.25 x $9 sales price = $738‚281.25 Dollars c)net profit if 1 million CD’s are sold (1‚000‚000 - 82‚031.25) x 6.40 = $5‚875‚000 d)CD unit volume necessary to achieve a $200‚000 profit (525‚000 + 200‚000) / 6.40 = 113‚281.25 units 3. Rash-Away: Contribution Margin = $2.00 - $1.40 = 30% $2
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Personal contribution As to personal contribution‚ in fact‚ I haven’t done a lot of work compared to some team members‚ but I do have learnt many new things. I had spent nearly one week learning what our project should be at the beginning of our project. And then Sam and Kyle assigned tasks to Cloud and me‚ such that we two formed the QA team and do testing. Our first task is checking the php file of school module timetable. Firstly‚ I sampled more than 3000 lines of codes and found nothing abnormal
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MATH PORTFOLIO NUMBER OF PIECES Kanishk Malhotra 003566-035 (May 2012) In physics and mathematics‚ the ‘DIMENSION’ of a space or object is informally defined as the minimum number of coordinates needed to specify each point within it. Thus a line has a dimension of one because only one coordinate is needed to specify a point on it. A surface such as a plane or the surface of a cylinder or sphere has a dimension of two because two coordinates are needed to specify a point on it (for
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How Engineers Contribute Society’s standards always change and engineers contribute to society by meeting these demands. Engineers create technology and devices that people use day to day. They innovate current technology by making it more practical and improving the quality to satisfy consumers. When society’s trends and fads change‚ engineers comply by redesigning products to accommodate for the changes. Engineers save time and money for every one by speeding up processes and cutting down production
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