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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Statistics Cheat Sheet Proportion = Frequency x 100 = Percentage Total No | Z score (standardised value)-how many sds from the mean the value liesZ score = data value – mean Standard deviation | Metric Data = ExploreCategory = Frequencies | Bigger sample size will give a narrower confidence interval range (more specific) outliers affect the mean but not the median – this is why the median is preferred here.mean | | Reports -Only give confidence
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Luk’s Tax Cheat Sheet Types of Income and Net Income: Segment A: Employment Income‚ Business Income‚ Property Income‚ Other (alimony) Segment B: Taxable capital gains less allowable capital losses either + or zero Segment C: Other deductions ie. RRSP contribution‚ moving expense‚ etc. Segment D: Employment‚ business or property loss; allowable business investment loss Employment Test: Control Test: An employer has the right to tell an employee what to do‚ when‚ and how Ownership of Tools:
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Why Some Students Cheat Nowadays‚ there are many popular ways for students to cheat in exams. Some students take their notes into the examination rooms. Some students ask their friends the answers by whispering while taking the exams. And some students just try to copy the answers of students who sit in front of them without caring how similar to giraffes they are. It is interesting to focus on the question that why some students still keep cheating in exams even though they know that the punishments
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ordinary resolution for many students‚ more and more students do so every day‚ mimicking the action of their peers. Unfortunately‚ the eighty-five percent of students who cheat would prefer a higher score than the chance to grow as a learner. All of the cheating boils down to one simple concept: college acceptances. To begin‚ students cheat in order to get accepted to the college of their choice. As Kolker explains‚ students believe that‚ “College‚ more than ever‚ determines success.” As a high school
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Cyber Stalking Stalking: series of actions that would cause a person to fear death or injury Spam (Bulk email marketing) Internet version of junk mail Where do they get email addys? - legitimate companies - Newsgroup Extractors - Websites Extractors Avoiding Spam - Use phoney address - Use anonymous remailer - Use “AT” in your email address instead of @. Internet Fraud / Identity Theft Credit Card Fraud: The unauthorized use of credit cards to obtain money or property Common ways
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90%= 1.645 95% = 1.96 98% = 2.33 99% = 2.575 Hypothesis Testing *A credit card company wondered whether giving frequent flyer miles for every purchase would increase card usage‚ which has a current mean of $2500 per year. They gave free flyer miles to a simple random sample of 25 card customers and found the sample mean to be $2542 and the standard deviation to be $109. n= 25 Ho (Claim) µ=2500 OR Ha µ > 2500 *Use t-table n .50 Ha
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Shiana Gunasekera Lecture 2: GROUPS AND TEAMS *Groups/Teams – same - people with complementary skills‚ to achieve shared purpose and are held mutually responsible. *Formal Teams – officially recognised (organisational chart) and supported by the organisation for specific purposes. *Informal Teams- Natural or spontaneous relationship. No OC *Hierarchy – single person authority/performance responsibility. *Self-managed teams – decisions/complete work on own. Mutually responsible. Perform
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Expectations‚ Variances & Covariances The Rules of Summation n å xi ¼ x1 þ x2 þ Á Á Á þ xn covðX; YÞ ¼ E½ðXÀE½XÞðYÀE½YÞ i¼1 n ¼ å å ½x À EðXÞ½ y À EðYÞ f ðx; yÞ å a ¼ na x y i¼1 n covðX;YÞ r ¼ pffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi varðXÞvarðYÞ n å axi ¼ a å xi i¼1 n i¼1 n n i¼1 i¼1 E(c1X þ c2Y ) ¼ c1E(X ) þ c2E(Y ) E(X þ Y ) ¼ E(X ) þ E(Y ) å ðxi þ yi Þ ¼ å xi þ å yi i¼1 n n n i¼1 i¼1 å ðaxi þ byi Þ ¼ a å xi þ b å yi i¼1 n var(aX þ bY þ cZ ) ¼ a2var(X) þ b2var(Y ) þ c2var(Z
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Cheat sheets‚ looking at the person paper in front of you‚ asking friends for answers‚ and just taking notes in to the exam room are a few ways students cheat. Why? Why is it that students do all of this to cheat in school. I believe that procrastination‚ lack of understanding and the fear of being a failure are a few reasons that students cheat. Procrastination is the act of delaying; in activity resulting in something being put off until a time later time. Many students procrastinate on all school
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