Add Maths Form 5 - First monthly test

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MONTHLY TEST 1 ADDITIONAL MATHEMATICS FORM 5 k 

∫  "! x − )dx = 6 # $he%e k & '1# (in the va*+e ,( k .  g " x)dx = 2 Given that ∫  # (in:  g " x)dx "a) the va*+e ,( ∫  # -k x −  g " x )dx = 14 "3) the va*+e ,( k  i(  i( ∫  .

1. Given that

−1

- a%/0

5

!.

1

1

5

5

- a%/0

1

d    x !

. Given that

   + 1   =  g " x) dx  ! x − 1     # (in the va*+e ,(

!

1

∫  !  g " x)dx . 4

- a%/0

 y

. In ia%a ia%a 3e*,$# 3e*,$# the 0t%aiht 0t%aiht *ine *ine A7 A7 i0 a tanent tanent t, the the 8+%ve Given that the e+ati,n ,( the tanent i0  y = ! x − 1 # (in:

=

1 !

x!

+

!

 at 9,int C "h# k ). ).

"a) "a) va*+ va*+ee ,( h an ,( k # -  a%/0 "3) the a%ea ,( the 0hae %ei,n# -  a%/0 π   "8) the v,*+e ene%ate# in te%0 ,( # $hen the %ei,n 3,+ne 3; the 8+%ve# the ;  i0 %ev,*ve th%,+h !π   a3,+t the ;