Math Questions

Mathematics

discrete mathematics for computer science

Question Description

Hello.

I need this worksheet of discrete math solved (attached document) with workout and steps where possible. Should take no more than 20 minutes if you know the material and I need this done within an hour

You can write on piece of paper as long as handwriting is readable and upload document to me.

Thank you

Unformatted Attachment Preview

Discrete Math Questions for Tutor Instructions: Answer every question posted below with complete workout and steps where possible (especially need workout for questions 1 and 2) 1. Using the systematic approach, determine the complete factorization of the following positive integer into a product of prime numbers (raised to the appropriate powers): 1060488 ( one million, sixty thousand, four hundred eighty-eight ) Show your work and give your final answer in Standard Factored Form 2. Suppose that x = 1.234523452345234523452345234523452345… (ad infinitum) In other words, to the right of the decimal point, x has an infinitely repeating block consisting of four digits: "2345" It is possible to express x as a rational number, that is, as a fraction n/d having numerator n and denominator d. If we require that n and d are positive integers that have no common factor greater than 1 (so that the fraction n/d is reduced to lowest terms), then the values of n and d are uniquely determined. What are those values? Numerator: n = ? Denominator: d= ? Find denominator and numerator with workout. 3. floor( 64.5 ) = ? (questions are in bold) 4. ceil( 6.45 ) = ? 5. floor( 5 ) = ? 6. ceil( −5.46 ) = ? 7. floor( −64.5 ) = ? 8. True or false? 4|2 (questions are in Bold) 9. True or false? 1|−5 10. True or false? 4|16 11. True or false? 13|117 12. True or false? 12|3 13. Given that n = 59 and d = 16, find the integers q and r that satisfy the following two conditions: 1) n = dq + r 2) 0 ≤ r < |d| q=? r = ? (questions are in Bold and show workout) 14. Given that n = 57 and d = −15, find the integers q and r that satisfy the following two conditions: 1) n = dq + r 2) 0 ≤ r < |d| q=? r = ? (questions are in Bold and show workout) 15. Given that n = −59 and d = 16, find the integers q and r that satisfy the following two conditions: 1) n = dq + r 2) 0 ≤ r < |d| q=? r = ? (questions are in Bold and show workout) 16. Given that n = 118543 compute the following remainders: (questions are in bold and show workout) a) n mod 3 = b) n mod 5 = c) n mod 7 = d) n mod 11 = e) n mod 13 = ...
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