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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 greater value of a and b so that the following even numbers are divisible by both 3 and 5 : 2ab2a
Jonestown High School has a soccer field whose dimensions can be expressed as 7y 2 and 3xy. What is the area of this field in terms of x and y? Since the area of the soccer ?e
What are Factor Trees explain? In algebra, we often need to factor a number into its prime factors. One way to do this is to use a factor tree. This is a network of numbers, st
Define tautology and contradiction. Ans: If a compound proposition comprises two atomic propositions as components, after that the truth table for the compound proposition con
Case 1: Suppose we have two terms 8ab and 4ab. On dividing the first by the second we have 8ab/4ab = 2 or 4ab/8ab = (1/2) depending on whether we consider either 8ab or 4ab as the
For queries Q 1 and Q 2 , we say Q 1 is contained in Q 2 , denoted Q 1 ⊆ Q 2 , iff Q 1 (D) ⊆ Q 2 (D) for every database D. The container problem for a fixed Query Q 0 i
The next topic that we desire to discuss here is powers of i. Let's just take a look at what occurring while we start looking at many powers of i . i 1 = i
Explain Basic Concepts of Parallel Lines ? Parallel lines are defined in section 1.2 and we use "//" to denote it. From the definition, we can get the following two consequenc
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in the quadrilateral abcd,ab is 4.3,bd is 5.1,ad is 4.8.angle bdc is 20 degrees and angle c is 80 degrees.all dimentions in metres.calculate the unknown sides and angles of the plo
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