As a small illustration of Chinese remainder theorem that can all be solved mentally, say M = 30. Let’s say we express this M as the product of the pair wise co primes 2, 3, and 5. That is, m1 = 2, m2 = 3, and m3 = 5. Given that the numbers involved are small, calculate (75 + 89) mod 30,  (75 × 89) mod 30, etc., using the Chinese Remainder Theorem. Verify your answers by  direct computations on the operands in each case.

Q: Euclid of Alexandria is credited with writing a series of 13 mathematics books called The Elements…

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Q: Solve the following quadratic equation via the two different methods namely both classical and…

A: The equation a≡b mod n means that a-b is divisible by n. That is, the remainder when a-b is divided…

Q: Find the fifth roots for -16-16/3i

A: Consider the given complex number. z=-16-163i=x+iy x=-16  and y=-163 Convert it into polar form.…

Q: Compute ||w| using w= ||w|| || = 7 5 -4 (Type an exact answer, using radicals as needed.) LO

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Q: 8) Use approximation to find the cube root of 450 rounded to the nearest hundredth, and then answer…

A: Given  4503 To do Use approximation to find the cube root of 450 rounded to the nearest hundredth…

Q: Simplify 3√27 +8√12 -√300

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Q: If a = 17 (mod 3), then what is the remainder of a when divided by 3? Enter the numerical value.

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Q: Suppose b is any integer. If b mod 12 = 7, what is 8b mod 12? In other words, if division of b by 12…

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Q: Solve this maths problem : A natural number less than 100 has remainder 2 when divided by 3,…

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Q: Use your work from problem 2 and the method used in the example at the end of Lecture 16 to solve…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.