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The division algorithm says that when a is divided by b, a unique quotient and remainder is obtained. For a fixed integer b where b ≥ 2, consider the function f : Z → Z given by f(a) = r where r is the unique remainder obtained when a is divided by b.
(a) What is the range of f? Based on your answer, is f onto?
(b) Determine whether f a 1-1 function.
If A, B are acute angles and sinA= cosB, then find the value of A+B. Ans: A + B = 90 o
write the value of the 3 in each number
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Optimization : In this section we will learn optimization problems. In optimization problems we will see for the largest value or the smallest value which a function can take.
find the points on y axis whose distances from the points A(6,7) and B(4,-3) are in the ratio 1:2
How many 4 digit numbers can be formed using the numbers: 1 – 7. Repeated numbers CAN NOT be used
an insurance salesman sells policies to 5 men, all of identical age in good health. the probability that a man of this particular age will be alive 30 years hence is 2/3.Find the p
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