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Unit Test | 20, , , , , , , , State Board of Technical Education and Training, A. P, First Year, Subject name: Engineering Mathematics‘Sub Code: EC-102, Time : 90 minutes Max.Marks:40, Part-A ‘16Marks, , Instructions: (1) Answer all questions., (2) First ques ies four marks and the remaining questions carry, three marks each., , , , 1. Answer the following., , , , , , , , , , , , , , a. If f(x) = x7 and domain = {-1,0,1}, then find range. (co1), 12, b rac | seems (cou), 3 4]., c. Write the value of Sinl20” (co2), 4. Write the formula for tan 2A in terms of tan A (co2), 2. If f: RR isdefined by f(x)=3x—S , then prove that f(x) isonto. (C2), a wast! 3) pa]? “Tene tind 24438 co1), A= then find 2A-+, 4-9} >[-3 a (cox), B, 4, Prove that Si i (coz), 5. Prove that (coz), Part-B 38-24, Instructions: (1) Answer all questions., (2) Each question carries eight marks, {3) Answer should be comprehensive and the criterion for valuation, is the content but not the length of the answer., 6 A) Resolve into partial fractions. {co1), G-DE-3), or, 53, 8) Resolve —**4 into partial fractions (con), 3x, 7. A) Using Cramer's rule to solve, X—y+z=2,2x+3y—4z=-4,3x+ yz {co1), bc bee ||, 8) Provethat lea c+a |= (a—by(b—c)(c—a) (cou), lab a+b ||, 1, 8 A) Find the adjoint of Matrix (co1), or, 3 1 -5], 8) B=|2 1 4 |, find ABand BA.and verify if AB= BA, 031, , , , , , (co1), , -000
