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For every girl taking classes at the martial arts school there are 3 boys who are taking classes at the school. If there are 236 students taking classes write and solve a proportio
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 f
When 6 boys were admitted & 6 girls left the percentage of boys increased from 60% to 75%. Find the original no. of boys and girls in the class. Ans: Let the no. of Boys be x
L'Hospital's Rule Assume that we have one of the given cases, where a is any real number, infinity or negative infinity. In these cases we have, Therefore, L'H
r=asin3x
What is the exact vale of sin(theta/2) when sintheta=3/5, pi/2
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Prove that a simple graph is connected if and only if it has a spanning tree. Ans: First assume that a simple graph G has a spanning tree T. T consists of every node of G.
The sum of three times a greater integer and 5 times a lesser integer is 9. Three less than the greater equivalent the lesser. What is the value of the lesser integer? Let x =
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