University of Sargodha BS 1" Term Examination 2017 Subject: Computer Science/Software Engineering/Information Technology Paper: Calculus & Analytical Geometry (Math: 2213) Time Allowed: 2:30 Hours Maximum Marks: 80

University of Sargodha BS 1" Term Examination 2017 Subject: Computer Science/Software Engineering/Information Technology Paper: Calculus & Analytical Geometry (Math: 2213) Time Allowed: 2:30 Hours Maximum Marks: 80 Note: Objective part is compulsory. Attempt any four questions from subjective part. Objective Part (Compulsory) Q.1. Write short answers of the following questions each in 2-3 lines. (16*2) i. Evaluate lim rsin- X-700 If 5≤1, then find the values of x iii: Solve the inequality 4(x-1) <(*-2). tadni.com iv: Find the third derivative of y= 5x*- 3x+8=0. V. What is the slope of vertical line? ustadni.com vi.* Whether the function y =* is even or odd or not. vil• Find the domain and range of y = Vx-1 viii: What is difference between odd and even functions? ix. Ify = sin? (rEx-2), then find dy x. Discuss the function f(x) = x is either increasing or decreasing or not. xi? Find the radius and center of the circle x+y +y+4x-4y+4=0 xii. Evaluate 10 cosxdx. xiii. Find the equation of tangent line at (0,b) with slope k. xiv. If f(x) = Vx, then find f'(25). x -5 xv.* Evaluate lim x→5. Vx - V5 xvi. Evaluate J2/*/dx. Subjective Part (4*12) Q.2. Find the area of the region bounded by the parabola y = 2-x? and the line y= -x. ustadni.com 0.4. Evaluate / To sin? Ja Q.5. Evaluate the integral f 1+x* -dx. 0.6. If y = (sin" x), then prove that (1-x?)y"- xy - 2=0. Q.7. Evaluate | x' tan xdx. visit website: ustadni.com