Recent content by haoku

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    Evaluating Limit: x to Infinity

    I am having difficulty in evaluating the limit x tends to positive infinity (log( (1+[sqrt(2)/2])^x + (1-[sqrt(2)/2])^x ))/x I have tried using binomial series expansion but turn out to be something messy. Any ideas on it? :)
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    Solve Difference Equation | General Solution | No Particular Solution

    Homework Statement Given difference equation T(a+2)-7T(a+1) +6T(a)= 6f Find the general solution of this equation Homework Equations I have found the auxiliary equation be A(1)^n+B(6)^n But seems can't find the particular solution of that question. Is it impossible to do this...
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    Understanding the Relationship between Differential Equations and Integration

    Sorry I have corrected and thanks for answering!
  4. H

    Understanding the Relationship between Differential Equations and Integration

    If ds = integration of f(t) dt then can I say: ds/dt= f(t)? I am very confuse with that. please help
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    Proving 8 Digit Number Divisible by 137 by Induction

    Homework Statement Given a "8 digit number" abcdabcd.That means 1st digit =5th digit, 2nd digit =6th digit etc. Also, note that the smallest possible "8 digit number" is 10001(i.e.00010001). Prove this by induction that it is divisible by 137. Homework Equations The Attempt at a...
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    Why Is Tetrachlorocuprate(II) Ion Incorrect?

    Homework Statement Name of complex ion CuCl4^2- The Attempt at a Solution I wrote tetrachlorocuprate(II) ion and my teacher says it is incorrect. I should write tetrachlorocopper(II) ion
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    Does the Photoelectric Effect Indicate Quantized Energy Emission by Atoms?

    Homework Statement Do photoelectric effect suggest that the emission of energy by an atom be quantized Homework Equations The Attempt at a Solution I think it is true as photoelectric effect told us that atom emitt energy in terms of electron.
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    Calculating Gem Distribution in a Combination and Permutation Problem

    You mean easy one : 10*9*8*7*6 =30240 hard one=10C5*5*4*3*2*1=30240 also! If order is not important, should I divide the answer by 5!?
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    Calculating Gem Distribution in a Combination and Permutation Problem

    I have asked the teacher and the teacher said each student who got 12% mark will get 1 gems and student with 60% will have 5 gems. Should the answer be 10C5?
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    Calculating Gem Distribution in a Combination and Permutation Problem

    Homework Statement There are 10 different coloured gems will be given to 6 students according to their marks. The marks of the students are 60%,12%,12%,12%,12%,12%. The number of gems obtained is according to their marks. How many ways can it distribute the gems? 2. The attempt at a...
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    Selecting Systematic Sample for Telephone Survey: Budget Limitations

    Homework Statement A telephone survey is planning a marketing survey of its 760000 customers. For budget reasons, the company wants a sample size of about 250. a) Suggest a method for selecting a systematic sample.? b) What expense do you think is most likely to limit the sample size...
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    Probability of 3 Married Couples Winning a Prize

    Oh yes, I have some logic error that confuse myself. Thanks
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    Probability of 3 Married Couples Winning a Prize

    When looking at definition, C(a,b)/C(c,d) =[ a!d!(c-d)!]/[c!b!(a-b)!] P(a,b)/P(c,d)=[a!(c-d)!]/[c!(a-b)!] So, the two number is not equal.
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