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Let fn(x)= nx/(1+nx) is not uniformly convergent on [0,1]

Let fn(x)= x^n is not uniformly continuous on [0,1] but is uniformly continuous on [0,k]

Find the fourier integral for f(x)= C |x|<=1 and f(x)= 0 |x|> 1 we here C is constant


find the complete integral and singular integral of 4(1+x3)=9z4pq.


The average loan of an employee is Php 18, 200. If the debt is normally distributed with the standard deviation of Php 6, 150, find the probability that the employee owes between Php 10, 000 and Php 25, 000.

in a certain university, the students were informed that they need a grade in the top 8% of the engineering students to get a scholarship for the next semester. In the standardization of the test, the mean was 76 and the standard deviation is 14. Assuming that the grade is normally distributed, what must be the minimum grade to obtain the scholarship grant.

      (i)    𝑦= 2𝑥2 + 12𝑥 + 18



What is the sum of the probabilities of all values of the random variable?


An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability that a random sample of 40 resistors will an average resistance greater than 114 ohms.

Shiro’s grandfather has just announced that he’s opened a saving account for


Shiro with a deposit of RM10,000. Moreover, he intends to make another nine


similar deposit for the rest nine years at beginning of each year. If the savings


account pays 8 percent interest, determine the amount Shiro accumulated at


the beginning of 10 years.


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