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a)Solve for ?, if tan5? = 1.
Ans: Tan 5? = 1 ⇒ ? =45/5 ⇒ ?=9o.
b)Solve for ? if Sin?/1 + Cos? + 1 + Cos?/ Sin? = 4 .
Ans: Sin?/1 + Cos? + 1 + Cos?/ Sin? = 4
Sin2?/1 + 1 (Cos?)2/ Sin?(1 + Cos?) = 4
Sin2?+1 + Cos2? + 2cos?/ Sin? +Sin?Cos? = 4
2 +2Cos? / Sin?(1+ cos?) =4
2+(1+ cos?)/Sin?(1+ cos?) = 4
2/sin? = 4
sin ? = 1/2
sin ? = sin 30
? = 30o
A concrete retaining wall is 120 feet long with ends shaped as given. How many cubic yards of concrete are required to construct the wall? a. 217.8 yd 3 b. 5,880 yd 3
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
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