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All the integrals below are understood in the sense of the Lebesgue.
(1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]. Then
(2) Assume that f is integrable over [0; 1]. Show that
is dierentiable a.e on (0; 1).
(3) Assume that f is continuous on [0; 1]. Suppose that
Illustration 2 In a described farm located in the UK the average salary of the employees is £ 3500 along with a standard deviation of £150 The similar firm has a local
If the p th term of an AP is q and the q th term is p. P.T its n th term is (p+q-n). Ans: APQ a p = q a q = p a n = ? a + (p-1) d = q a + (q-1) d = p
formula for non negative solutions integral
E1) Do you agree that multiplication and division should be learnt intermeshed with each other, or not? Give reasons for your answer. E2) How would you explain to children wh
in one point of the circle only one tangent can be drawn. prove
Bill spent 50% of his savings on school supplies, and then he spent 50% of what was left on lunch. If he had $6 left after lunch, how much did he have in savings at the starting?
sin2A+cos2A
how long is the radius of car tyre?
Write down the system of differential equations for mass system and the spring above. Solution To assist us out let's first take a rapid look at a situation wherein both of
Illustration 1 In a described exam the scores for 10 students were given as: Student Mark (x) |x-x¯| A 60
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