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Let ∑ = (0, 1). Define the following language:
L = {x | x contains an equal number of occurrences of 01 and 10}
Either prove L is regular (by constructing a DFA/NFA or a regex) or prove that it is not regular using the Pumping Lemma for regular languages.
The area enclosed between two concentric circles is 770cm 2 . If the radius of the outer circle is 21cm, find the radius of the inner circle. (Ans :14cm) Ans: Π R 2 - Π r 2 =
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Consider the function f(x) = x + 1/x 2 + 2x - 3. (a) Find f(2) and f(-2). (b) Find the domain of f(x). (c) Does the range include 1? Show your working. (d) Find and si
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