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what is cauchy schwarz inequality?? explain with example..

Can u give me the proper routine I should follow for next one month

i have a problem in lengthy rcs because after reading we get a gist of a every paragraph but while going through questions sometimes questions from anywhere from the passage and in this case we have to going through para again which require a lot of time,but if we have 600-700 words para i am comfortable with any type of questions because of remember where these lines are given, so how to tackle these problems in lenghty rcs..??

What is the number of integers in the range 250 to 750 that are co-prime to 300 ?

Because of an error, a printing machine cannot print 6 and 8. The machine is used to print page numbers on a volume of an encyclopedia. What number is printed on the 503rd page of the encyclopedia? (747, 979, 959, 757)

A set contains n consecutive natural numbers,where n is an odd natural number. If two numbers are randomly picked from the set, what is the probability that the average of all the numbers that are left is the same as that of the n numbers?

How many ordered triplets (a, b, c) satisfy a^b^c=64 where a, b, c are all positive integers? (10, 7, 8, 9)

A company can sell 100x machine parts if it charges 10-0.1x dollars for each machine part. Hw many machine parts can the company sell if it charges $4.00 for each machine part? (a) 6 ( b) 9.6 (c)60 (d) 960 (e) 6000

Q 4 and f(0) and f(2) are of different signs. Which of the following is not a valid value for 'p'? f(x) = x4+2x2+p A. p = ­ 2 B. p = ­20 C. p = ­16 D. p = 2