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Let fn(x) = cosnx/√ n , x belong to R, is not pointwise convergent. True or false with full explanation

To qualify for a police academy, candidates must score in the top 10% on a general abilities test. The test has a mean of 200 and a standard deviation of 20. Find the lowest possible score to qualify to be accepted into the academy. Assume the test scores are normally distributed.


Let f(x)= cos 1/x is not uniformly continuous on (0, infinity)

Repeat Prob. 6.45 calculating the sum of every nth integer, beginning with the value assigned to nstart (i.e., for

i= nstart, nstart + n, nstart + 2*n, nstart + 3*n, etc.).


Two charges, Q and -Q, are held stationary at a distance of 4 m. Q= 5x10^-6 is given. a) What is the potential difference VB-VA? b) A point charge of mass 0.3 g and charge 2x10^-6 C, initially at rest, leaves point A. What is the velocity at B?


(The distance between Q and point A is 2 m. The distance between A and B are 1 m. The distance between B and -Q is 1 m.)




A pair of fair dice is tossed. Find the probability of getting​  at most a total of 10.


Please kindly explain the type of error in the sentence below



1)The farmer along with his cow (rise/rises) early.

Work out questions1.Given the following information (in millions of Birr)Government final consumption expenditure = 1400Change in stocks = 210Private final consumption expenditure = 820Net domestic capital formation = 275Exports = 175Imports = 225Depreciation = 80Factor income to abroad = 78Factor income from abroad = 194FindA.GDP by expenditure approach(2 Point)B.GNP(2 point)C.NNP(2 point)

Employee engagement and organizational change

initiatives: Does transformational leadership, valence, and

trust make a difference


the period of the function f(x)= |cos^3 3x| is pi/3. True or false with full explanation

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