Given three Cartesian points 22 45 71 find the coefficients

Given three Cartesian points (2,2), (4,5), (7,1), find the coefficients {a, b, c} of the quadratic polynomial (a + x^2 + b * x + c) that passes through all three points. Given two positive integers, A and B, the mod(A, B) function returns the remainder when A is divided by B. Example: mod(27,5) = 2 because 27 when divided by 5 has remainder 2. The floor (X) function returns the nearest integer (round down) of any real number X. Example: floor (13.872) = 13. Given two positive integers Y and Z, write an experssion for mod(Y, Z) using only the floor() function. Given two positive integers A and B, where GCDA(A, B) = C, write a function using only A, B, and C that equals the lowest common multiple (LCM) of A and B. What day of the week (Mon-Sun) will it be 123,456,789 days after Sunday, New Year\'s Day (JAN 1) 2017? Consider the equation 4xy + x + y = N where x > y > 0 and (x, y,N) epsilon N, which means all three are natural numbers the number 56 is the smallest integer that can be expressed by two different tats of (x, y) values. One set is (11,1) because 4(11)(1) + 11 + 1 = 56. The other set has x

Solution

10. The hexadecimal number system base takes 16 values in total from 0-F (F here represents 15)

So the n digit hex number can be converted from hexadecimel to binary by using following relation:

16^0 (LSB) + 16^1 (2nd LSB) .... + 16^n-1 (MSB)

Hence, (DAB24EF)₁₆ = 15 + 16*14 + 256*4 + ..... + 16^6*13 = (229319919)₁₀