Calculus & Analytic Geometry University of Sargodha ADP/BS 1st Semester Examination 2025

| [Ss University of Sargodha : Sea i ADP/BS 15 Semester Examination 2025 ect: CS/T a : rt A ek Paper: Calculus & Analytic Geometry (URCQ-5102/URCO-5103) 3 + 02:30 Hour } FEI Jowett 3 Tea Maximum Marks: 60 Q T Note: Objective part i WA : PArtis compulsory. Attempt any three questions from subjective part. Objective Part (Compulsory) Q Write short answers of the following in 2-3 lines each on your answer sheet. (2*12) "Find lim 227-1 bo x=-2 5-3x Li” Determine Whether f(x) = x5 + x is even or odd. ive Find the point on the curve ¥ = x* — 6x? + 4 where the tangent line is horizontal, tw” If f(t) = e% sin bt, find £1 (2). . . d x+1 we Find dE wi” Define the increasing function. vii® Evaluate i (2x + 3) dx. viik™ Find the equation of the normal line to the curve y=x*-3x+2atx=1. ix” The velocity of a moving object is given by v(t) =4t +2. Find the total distance traveled from t = 0 to t = 5 by calculating the area under the curve. x” Find Lin(sinx). x” Determine the domain of a function f(x) = 5 . os cos 8 xii® Evaluate [ ——=— d6. : Subjective Part (3*12) y QZ. Solve the inequality xz~ 3+ [x +2] <11. Q.3. Findy" ifx*+y* 16 AEE Q.4. Find the absolute maximum and absolute minimum values of f(x) = 2x® — 3x? — 12x + 1 /[~2,3]. ) / Q3. Find [vV1+x%x%dx. J E 4 Q.6. Find the area of the region enclosed by the parabolas y = x? and y = 2x — x2. Ps eee [K-5093,6183/30-04-25 een We ’ hs 3 — Mint mum : ustadni.com