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Find no. of non negative integral solutions x 1 +x 2 +x 3 +4x 4 =20 Solution) 140. Break them into prime factors . Put 4 = 2^2 and every variable will have factors in 2,3,5 with
A compound fraction is a fraction that has other fractions inside its numerator or denominator. Here's an example: While compound fractions can look really hairy, they're r
Proof of Limit Comparison Test As 0 Now, as we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer
Players and spectators enter a ballpark according to independent Poisson processes having respective rates 5 and 20 per hour. Starting at an arbitrary time, compute the probability
Q. Determine the probability of tossing a head? Let B represent the event of tossing a heads with the nickel in example 2. Find P(B). Solution: S = {(H, H), (H, T), (T, H
New England University maintains a data warehouse that stores information about students, courses, and instructors. Members of the university's Board of Trustees are very much inte
Integrate following. ∫ -2 2 4x 4 - x 2 + 1dx Solution In this case the integrand is even & the interval is accurate so, ∫ -2 2 4x 4 - x 2 + 1dx = 2∫ o
The area of a parallelogram can be expressed as the binomial 2x 2 - 10x. Which of the following could be the length of the base and the height of the parallelogram? To ?nd out
The sum of the squares of two consecutive positive odd integers is 74. What is the value of the smaller integer? Let x = the lesser odd integer and let x + 2 = the greater odd
How many types of ogives?
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