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University of Sargodha BS J" Term Examination 2015 Subject: Time Al

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University of Sargodha BS J" Term Examination 2015 Subject: Time Al Paper: Calculus Analytical Geom streme) Maximum marks: 80 Obiective part (Compulsory) Q.No.1 Write short answer of the following questions. (16*2=32) 1. Find the center and radius whose equation is given -x? +y+4x-4y+4=0 R 124047 Convert into standard form of ellipse of the following quation 3(x 1) 6 - 2(y • 2) 3. What is the slope of the vertical line? V 4. Prove that costy r: 2) sinx ~/ 5. Find the domain and rang of p: Jrl ğ 3* 6. Prove that sin(r =/3) - cos.r. 7. Il y= then "y" is an increasing function or decreasing function. v 8. Determine the function is even, odd and neither? y - see x - tan x. 9. Define periodic function and if y = cos x then find its periodicity. 10. Solve the inequality {(x-1)) 11. Evaluate lim- (818-ipg8075p-969 x - 9 1g898→ 201 ustadni.com * -- 2, 12. What is domain of the following: y = {x. - * + 2, - 2≤x≤-1 - 1