Calculus/Calculus and Analytic Geometry/Calculus I ADP/BS 1 Semester/Term University Of Sargodha (UOS) 2025

| [% University of Sargodha | Sa ' ADP/BS 1% Semester Examination 2025 ubject: CS y £8 /IT/SE- Paper: Calculus & Analytic Geometry (URCQ-5102/URCQ-5103) « Aime Allowed: 02:30 Hour | s Jaw et\o Qu Maximum Marks: 60 Note: Objective part is co LASR) LY pv | mpulsory. Attempt any three questions from subjective part. Objective Part (Compulsory) i © Q.1. Write short answers of the following in 2-3 lines each on on answer sheet. (2*12) BEd filing eed 3: i die” Determine whether f(x) = x5 + x is even or odd. ii” Find the point on the curve y = x* — 6x2 + 4 where the tangent line is horizontal. iw” If f(t) = e% sin bt, find f'(t). iy 5 d x+1 Re Find n= wi” Define the increasing function. vii® Evaluate ifs (2x ES 3 dx. vid” Find the equation of the normal line to the curve y = x? — 3x + 2 at x = 1. ix” The velocity of a moving object is given by v(t) =4t +2. Find the total distance traveled from t = 0 ER £1 I LS University of Sargodha ADP/BS 15 Semester Examination 2025 Subject: CS /IT/SE Paper: Calculus & Analytic Geometry (URCQ-5102/URCQ-5103 . Time Allowed: 02:30 F Yours Jo. wetio Qu Maximum Marks: 60 CAORYTT ry. Attempt any three questions from subjective part. Note: Objective part is compulso Objective Part (Compulsory) MSW : Q : rite short answers of the following in 2-3 lines each on your answer sheet. (2*12) A Find Jim x3 +2x%-1 xX —=-2 5-3x lie” Determine whether f(x) = x5 + x is even or odd. ic Find the point on the curve ¥ = x* — 6x2 + 4 where the tangent line is horizontal. ie) = e% sin bt, find f'(¢). 5 Find = wi” Define the i eieasing function. vii® Evaluate E (2x + 3) dx. id Find the equation of the normal line to the curve y = x? — 3x + 2 at x = 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. Find = In(sin x). x Se the domain of a function f(x) = om xii® Evaluate | = = de. Subjective Part (3*12) QZ. Solve the inequality lx— 3+ |x +2] <1l Q.3. Find y" if x* + y* =16 Q.4. Find the absolute maximum and absolute minimum values of f(x) = 2x3 —3x%2 — 12x +1 I( [-2, 31) Q3. Find [V1+x2x° dx. ~ Q.6. Find the area of the region enclosed by the parabolas y = x? andy = 2x — x? GE a" K-5093,6183/30-04-25 \ oe Mini Mum + ustadni.com