                                     !" #$%&'   (  )*) +,  -&' ./." 0  '+',%* 12  &3$%+34  &0  '+',%+',54  Ba ̀ i 16785'4  9 ,  :$  /  / y x x= − +   5$  &'  69 1. ,  :,  &:;  <'4  %&'4%=,  => ? 5$  &'  692  ,,  :$  2. @'4  %A2B  %&>m:$  %+'4  2  ,1;0%+&CD  % /  /  /  / x x m m− + = − + /E 0  '$?'5'4  #&2$  693>  5;0  <,%'42&'4  1&2-4  %=0  '69F Ba ̀ i 26G85'4  9 1. D  %&D  1B% *     G G e x I dx x x = + + ∫ E   <,%'42:$  &;  %'4%  :,  2; ? :$  5$'$  &3,  %,2,  &C%+5  D    $  &; ? :$  A>  F Ba ̀ i 36785'4  9 1. ',  '1;0%+&CD  % :'%6/ 9 :'%  E:'%6 9 G G x x x π π − = + E 2. D  +',  &C'  2  ,m54  <B  &1;0%+&CD  %:,2%+'4  52  %+=0  '  'x     6 A+ 9 6* A+ 9 6* A+ 9  * * * m m m x x m m m − − + − + < + + + E 3. 0  '+',  &C'  %,  2  ,H8-&D  <,:$    A+ * x y u + = 8  A+   x y u − = 8 / 7u y= &>&;  &;  5  8 5$  %+&0  'AB  1&,  %B  1:$  $  %+=,  $  &B  1:$  %B%E Ba ̀ i 46785'4  9 1. C%+  &1  %+&  ,5$  H-5;0  %+&C  %69  1;0%+&CD  %   6 *9 *x y+ − = ;  %+'%C  %+=0  '$?'5'4  #6mI/9&C4%5;0  %+&  %+-J/&,A2$%&D  5;0   ,'5'4   * 8  &C4%&C2  ,  %8:,,  5;0  %+&  %+# * 8#  A,  &'4  1&2-4  % 2  ,69E'5  , ? -='4  &1;0%+&CD  %5;0  %+&C  %%+,  '&'4  1&,+',  # *   E 2. D  %  1E@  5,  -@A,  &,+',  =2$%+B%6@JJ*9=,  ,  ,  %<4%J@JJ/E  '8(AB  %A;0  &A,  &C2%+5'4  2  ,=,  @E C4%,  %8@AB  %A;0  &AB  -,  5'4  #8:,#J@J*ED  %&4  &D  2  ,&;  K'4  %(#E Ba ̀ i 56*85'4  9 %A,  :$  %+2-4%A>  =,  %LE;  %+'%C  %+=0  '  ',3,  A2$%   ( )  /  / * * EEE * EEE * M /M M M /M * M M n n n a a a a a a a a a n n n −     + + + + + − + − + + + <  ÷  ÷  ÷ −     4  & S$  <,  K,%