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7116 Engineering Mathematics - II [C-cm-301]

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  C14–C–301/C14–CM–  3014225 BOARD DIPLOMA EXAMINATION, (C–14)OCT/NOV—2015DCE—THIRD SEMESTER EXAMINATION ENGINEERING MATHEMATICS—II Time   : 3 hours ][ Total Marks   : 80 PART—A 3×10=30 Instructions   :(1)Answer all  questions.(2)Each question carries three  marks. 1. Evaluate : () x x dx  x  9 99        2. Evaluate : 181 2 x dx        3. Evaluate : sin  x x dx       4. Evaluate : || x dx      2 04   5. Find the area bounded by the parabola y x   2 , the x  -axis and thelines x    3 and x    5. /4225 1[ Contd... * 4225 * www.android.previousquestionpapers.com | www.previousquestionpapers.com | www.ios.previousquestionpapers.comwww.android.universityupdates.in | www.universityupdates.in | www.ios.universityupdates.in  6. Find the differential equation by eliminating the arbitrary constants A  , B   from the equation y Ae Be  x x    32 . 7. Solve : y X dy x Y dx        110 22   8. Solve : ()()21280 x y dx y x dy          9. Find the quartile deviation of the daily wages (in R ) of 7 personsgiven below : 12, 7, 15, 10, 19, 17, 25 10. Calculate mean value for the following distribution : x  i  39172327  f  i  8101295 PART—B 10×5=50 Instructions   :(1)Answer any    five  questions.(2)Each question carries ten  marks. 11.  (a)  Evaluate : cossin 37 x x dx        (b)  Evaluate : x x x dx       147()()  12.  (a)  Evaluate : x xdx  4 2     sin (b)  Evaluate : 154     cos x dx    /4225 2[ Contd... www.android.previousquestionpapers.com | www.previousquestionpapers.com | www.ios.previousquestionpapers.comwww.android.universityupdates.in | www.universityupdates.in | www.ios.universityupdates.in  13.  (a)  Evaluate : 111()()        e e dx  x x    (b)  Evaluate : (tan)      12201 1 x x dx    14.  (a)  Find the volume of the solid formed by revolving the areaenclosed by the circle x y a  222    about x  -axis. (b)  Evaluate : a x b x x x dx  sincossincos /      02    15.  (a)  Find the RMS valve of 274 2   x   from x    0 to x    3. (b)  Evaluate dx x  1 201     using Simpson’s rule by dividing the interval (0, 1) into fourequal parts and hence, find approximately the value of  . 16.  (a)  Solve : ()1211 22    x  dy dx xy x    (b)  Solve : ()() y xy dx xy x dy  22 220       17. Solve xy dy x y dx  233 0    () as a homogenous differentialequation of I order. 18. From the prices of shares x   and y   given below for 10 days of sharing, find out which share is more stable : X  :55545253565852505149 Y  :108107105105106107104103104101    /4225 3AA15—PDF www.android.previousquestionpapers.com | www.previousquestionpapers.com | www.ios.previousquestionpapers.comwww.android.universityupdates.in | www.universityupdates.in | www.ios.universityupdates.in
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