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1. Construct a grammar G such that L(G) = L(M) where M is the PDA in the previous question. Then show that the word aaaabb is generated by G.
2. Prove, using the Pumping Lemma for Context-Free Languages, that the language L = {ak | k is a perfect square} is not context-free.
2. Consider the language L = {ak bk | k > 0}. Explain whether this language is context-free, context-sensitive, recursive, recursively, enumerable, and/or regular. While formal proofs are not required, justify your assertions.
Suppose you are in the market for a new home and are interested in a new housing community under construction in a another city. a) The sales representative informs you that the
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A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper i
If the minute hand of a big clock is 1.05 m long, find the rate at which its tip is moving in cm per minute.
A sphere and a cube have equal surface areas. Show that the ratio of the volume of the sphere to that of the cube is √6 : √π. Ans: S.A. of sphere = S.A of cube 4π r 2
Solve the linear equation: The equation relating the pressure that is denoted by P, to the force, F & the area, A, over which the force is applied is P =F/A. Solve this equat
Explain the Graphical Technique of Linear Equations by using this figure.
At a point in a loaded member, the stresses relative to an x, y, z coordinate system are given by Calculate the magnitude and direction of the maximum principal stress.
Series Solutions to Differential Equations Here now that we know how to illustrate function as power series we can now talk about at least some applications of series. There ar
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