1 - MTH101 Final Term Solved

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FINALTERM EXAMINATION Fall 2009 Calculus & Analytical Geometry-I Ouestion No: 1 ( Marks: 1 } - Please choose one Let 2 2 x y = . Find average rate of change of y with respect to x over the interval |3, +| 25 2 7 2 25 14 7 14 Ouestion No: 2 ( Marks: 1 } - Please choose one !f 2 3 x y − = − then dy dx = 2 -2 0 -3 Ouestion No: 3 ( Marks: 1 } - Please choose one !n the
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     678 578(0!     2 2  x y =   y   x    252    72    2514    714  67 578(0!     23  x y − = −  dydx =            679 578(0!    ! 7      0  x =    2  x =    02  x and x = =    6  x =  67: 578(0!    #$ 1234______ n + + + + +    12 n +    (1)(2)2 n n + +    (2)2 n n +    (1)2 n n +  67; 578(0!    # !%&'(#'%'%$   320 1[()]  L f x dy = +        2 1['()] ba  L f x = +      320 1['()]  L f x dy = +      320 1['()]  L f x dx = +    67< 578(0!    )*+),-./0-1#222  )!)) 2222  )!))     34 67= 578(0!    $  1   >'   -  5# 67? 578(0!    )4 2 45  y x x = − +    0&   1  )  3 67 578(0!    *!#!2222222      6 678 578(0!     )&'(  5&'(%  1&'(%    4(@  6788 578(0!     -# (,) −∞ ∞    (0,) ∞    (,) −∞ ∞    (,)int a whereais any negative eger  ∞  678 578(0!     337 (2)  y x x = +  $   336 (37)(2) dy x xdx = +    2336 111(2) dy x x xdx = +    2336 (11174)(2) dy x x xdx = + +    2338 (11174)(2) dy x x xdx = + +  6789 578(0!    5 232 34123  x xdx x x x + ++ + −    32 23 t x x x = + + − $ 232 341123  x xdx dt  x x x t  + +=+ + −      +   
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