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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 di erentiable a.e on (0; 1).
(3) Assume that f is continuous on [0; 1]. Suppose that
find the value of 0 that makes cos 21 degrees = sin 0 statement true.
The C.P. of 20 articles is same as theS.P. of x articles.Article profit is 25%.Find x
2x40 420x4 7x240 84x20 Explain how three expressions are equivalent.
How do you calculate for the distance between two co-ordinates?
120
Generate a 1000 vertex graph adding edges randomly one at a time. How many edges are added before all isolated vertices disappear? Try the experiment enough times to determine ho
State & Prove the arden theorem
$26,000 is spended for two years. In the first year it gets interest at 8.3% p.a. compounded semi annually. In the same year the rate of interest changes to 7.5% p.a. compounded da
application of radious of curvatur
Marks obtained by 70 students are given below: M arks 20 70 50 60 75 90 40 No.
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