Four Sets of Calculus Problems
$10-40 USD
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I had a little calculus in high school, but only computer science in college. (I made a perfect SAT in math.) I’d like to know enough calculus to solve the following four sets of problems. They are not for any class – they are needed to solve math puzzles that I do for fun and to become a better computer programmer at work.
This includes (i) determine the exact answers in terms of mathematical functions, (ii) an algorithm to calculate the actual values to any degree of precision by writing a computer program (as an infinite series summation and/or as a recursive definition that is repeatedly applied to an approximate answer that produces a closer answer). I wrote a library of arithmetic functions of integers that use string numbers to any length up to the amount of memory on my computer, so I can use that if helpful, (iii) an on-line reference that teaches these principles slowly with lots of examples. (+ is addition and * is multiplication)
A, B, C, D are real numbers with an even distribution between 0 and 1. A+B<1 and C+D<1.
1. What are the average values of the minimum and the maximum of A*C and B*D?
2. What are the average values of the minimum and the maximum of (A+B)*C, (C+D)*A and B*D?
A, B, C, D and E are real numbers with an even distribution between 0 and 1.
3. What is the probability that A*B < 1/4? A*B*C < 1/4? A*B*C*D < 1/4?
4. What is the value of E such that the probability that A*B < E is 1/4? The probability that A*B*C < E is 1/4? The probability that A*B*C*D < 1/4?
What is your experience/expertise in solving problems like these? How long would the write-up be? How many or for how long will I be able to ask follow-up questions about your answers? Do you have any questions? I’d like to do it right now.
Thanks,
Charlie
ID Projekti: #23349712
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yes i will do because i am doing already calculus [login to view URL] let me know if you want to do from me.
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