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PEMERINTAH PROVINSI DAERAH KHUSUS IBUKOTA JAKARTA=

DINAS PENDIDIKAN MENENGAH DAN TINGGI<= /span>

SMA NEGE= RI 96 JAKARTA=

Jl. Jati Raya No. 40 Cengkareng Jakarta Barat 11= 730 Telpon 5403058

ULANGAN MID SEMESTER GANJIL

TAHUN PELAJARAN 2007-2008

 

        &= nbsp;           &nbs= p;   Mata Pelajaran     &nbs= p;        : MATEMATIKA

        &= nbsp;           &nbs= p;   Kelas        &= nbsp;           &nbs= p;       : 12 IPA

        &= nbsp;           &nbs= p;   Hari/Tanggal        &= nbsp;        : Selasa, 25 September 2007

        &= nbsp;           &nbs= p;   Waktu        &= nbsp;           &nbs= p;     : 09.00 – 10.30

        &= nbsp;           &nbs= p;  

P= ETUNJUK : PILIHLAH SATU JAWABAN YANG PALING TEPAT

1= .<= !--[if gte mso 9]> =3D….

 

2.  ∫6 sin (= 2x-3) dx =3D ….

  1. 12 cos (2x – 3) + c=
  2. 6 cos (2x – 3) + c<= /li>
  3. 4 cos (2x – 3) + c<= /li>
  4. 3 cos (2x – 3) + c<= /li>
  5. ½ cos (2x – 3) + c<= /span>

 

3= .  Jika f ’(x) adalah turunan dari f(x) dan      f ‘(x) =3D ax; f(0) – f= (-1) =3D 3, serta f(1) + f(0) =3D 5, maka f(x) =3D ….

  1. – x2 + 5=
  2.  – 2 x2 + 5
  3. – 2 x2 + 7
  4. – 3 x2 + 5
  5. – 3 x2 + 4

 

4.  Sebuah benda bergerak dengan kecep= atan v =3D (3t2 + 4t ) m/det, jika pada t = =3D 2 det, panjang s =3D 20 m, maka rumus untuk jarak s pada saat t detik adalah ....<= o:p>

  1. s =3D t3<= /sup> + t2 + 8
  2. s =3D t3<= /sup> + 2t2 + 4
  3. s =3D t3<= /sup> + 3t + 6
  4. s =3D 3t3= + 4t2 – 12
  5. s =3D 3t2= + 4t

5.   Gradien garis singgung kurva= di setiap titik adalah <= !--[if gte mso 9]> , jika kurva melalui titik (8,0) maka persamaan kurva itu adalah …

  1. y =3D
  2. y =3D
  3. y =3D
  4. y =3D
  5. y =3D

6.   <= !--[if gte mso 9]> , nilai 3a =3D….

  1. 3
  2. 6
  3. 12<= /span>
  4. 15<= /span>
  5. 18<= /span>

 

7.   <= !--[if gte mso 9]>  =3D …= .

  1. 8
  2. 8
  3. 16
  4. 16
  5. 32

 

8.   <= !--[if gte mso 9]> =3D….

  1. – 2
  2. – 1
  3. 0
  4. 1
  5. 2

 

9.  <= !--[if gte mso 9]> =3D….

 

10.  Bila disubtitusi dengan x =3D 5 si= n t <= !--[if gte mso 9]>

  1. ∫ 5 cos t dt
  2. ∫ 5 sin t dt
  3. ∫ 10 sin2 t dt<= /span>
  4. ∫ 25 cos2 t dt<= /span>
  5. ∫ 25 sint2 t dt=

 

11.  <= !--[if gte mso 9]>

  1. 2 ln |2x+3| + c
  2. ½ ln |2x+3| + c
  3. 1/3 ln |2x+3| + c
  4. ¼ ln |2x+3| + c
  5. – ½ (2x+ 3)- 2 + c<= o:p>

 

12.  ∫x2 cos 2x dx =3D ….

  1.  1/3 x3 sin 2x + c
  2.  2/3 sin 2x + c
  3.  1/6 sin 2x + c
  4. – &fra= c12; x2 sin 2x + ½ x cos 2x + ¼ cos 2x + c
  5.  ½ x2 sin 2x = +  ½ x cos 2x -  ¼ sin 2x + c=

 

 

13.  ∫x (2x+3)8= dx =3D ….

  1.  1/18 (2x+3)9+ c
  2. 1/18 (2x+3)<= sup>9 – 1/360 (2x+3)10 + c
  3. x/18 (2x+3)<= sup>9 – 1/360 (2x+3)10 + c
  4. x/9 (2x+3)9 – 1/360 (2x+3)10 + c
  5. x/9 (2x+3)9 + 1/120 (2x+3)10 + c

 

14.  Luas daerah yang diar= sir adalah ….

 

        =             &nb= sp;     Y

        =             &nb= sp;            =             y =3D 4x3

 

        =             &nb= sp;            =  

        =         - 2        =             2        =        X

 

 

 

  1. 0 satuan lua= s
  2. 8 satuan lua= s
  3. 12 satuan lu= as
  4. 18 satuan lu= as
  5. 32 satuan lu= as

 

 

 

15.  Luas daerah yang diar= sir adalah ….

        =             &nb= sp;   Y        =            

        =             &nb= sp;            =             &nb= sp;  y =3D x2

 

 

 

 

        =             &nb= sp;            =          2             X

 

  1.  satuan= luas
  2.  satuan= luas
  3.  satuan= luas
  4.  satuan= luas
  5.  satuan= luas

 

16.  Luas daerah antara ku= rva y =3D 4x – 4x2 dan y =3D x – x2 adalah R= 30;.

  1. ¼ sat= uan luas
  2. ½ sat= uan luas
  3. 2/3 satuan l= uas
  4. 1 ¼ s= atuan luas
  5. 1 ½ s= atuan luas

 

17.  Volume benda putar ya= ng terjadi bila kurva y =3D x1/2 , x =3D 2, sumbu X, diputar mengel= ilingi sumbu X sejauh 3600 adalah….

  1. ½  satuan volume
  2.  satuan volume
  3. 1 ½  satuan volume
  4. 2  satuan volume
  5. 2 ½  satuan volume

 

 

 

 

18.  Lihat gambar, bila da= erah yang diarsir diputar mengelilingi sumbu Y sejauh 3600, maka volu= me benda putar yang terjadi adalah ….

 

        =             &nb= sp;        Y

        =             &nb= sp;            =             &nb= sp;          y =3D x2

 

 

 

 

 

        =             &nb= sp;            =             &nb= sp;   2         X

  1.  satuan volume
  2. 8  satuan volume
  3. 10  satuan volume
  4. 12  satuan volume
  5. 16  satuan volume

 

 

19.  Volume benda putar ya= ng terjadi jika daerah yang dibatasi oleh kurva y =3D x2 dan y =3D = 2x diputar sejauh 3600 mengelilingi sumbu X adalah ….

  1.  satuan volume
  2.  satuan volume
  3.  satuan volume
  4.  satuan volume
  5.  satuan volume

 

 

 

20.  Volume benda putar ya= ng terjadi jika daerah yang dibatasi oleh kurva y =3D x2 dan y =3D x diputar sejauh 3600 mengelilingi sumbu X adalah ….satuan volume

  1.         &n= bsp;        d.
  2.         &n= bsp;      e.

 

 

 

 

 

 

 

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