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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
12. List the merits and limitations of using North West corner rule.
rectangles 7cm by 4cm
Q4. Assume that the distance that a car runs on one liter of petrol varies inversely as the square of the speed at which it is driven. It gives a run of 25km per liter at a speed o
The width of a rectangle is 30.5% of its length l. Write a formula for the area and perimeter of the rectangle in terms of l only
what is the result if 816.537 is rounded to the nearest tenth
If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=
for what value of k,the following system of equations have infinite solutions?kx + 5y -(k-5)=0;20x +ky - k=0
Factoring Out a Common Monomial Factor? Say you have a polynomial, like 3x 4 y - 9x 3 y + 12x 2 y2 z and you want to factor it. Your first step is always to look for t
How do you multiply frations?
Ms. Mehta teaches in a government primary school in Delhi. The children who come to her in Class 1 are familiar with a few numbers. At the beginning of the session, she asks the ch
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