Quiz about 595 Part 1 Matematika

Question 1

Hasil dari $$\int_{ }^{ }\left(\sqrt[]{x}-5\right)\left(\sqrt[]{x}+5\right)dx=....$$

Accepted Answer

$$\frac{1}{2}x^2-25x+C$$

Answer

$$\frac{1}{2}x^2+25x+C$$

Answer

$$\frac{1}{x}x^2+\frac{25}{2}x\sqrt[]{x}-25x+C$$

Answer

$$\frac{1}{2}x^2-\frac{25}{2}x\sqrt[]{x}-25x+C$$

Answer

$$\frac{1}{3}x^3-\frac{1}{5}x^2-25x+C$$

Question 2

$$\int_{ }^{ }\left(6x+9\right)\left(x^2+3x+2\right)^5dx=....$$

Accepted Answer

$$\frac{1}{2}\left(x^2+3x+2\right)^6+C$$

Answer

$$\frac{1}{6}\left(x^2+3x+2\right)^6+C$$

Answer

$$\frac{1}{3}\left(x^2+3x+2\right)^6+C$$

Answer

$$2\left(x^2+3x+2\right)^6+C$$

Answer

$$6\left(x^2+3x+2\right)^6+C$$

Question 3

Hasil dari $$\int_{ }^{ }x\left(x+4\right)^5dx=....$$

Accepted Answer

$$\frac{1}{21}\left(3x-2\right)\left(x+4\right)^6+C$$

Answer

$$\frac{1}{21}\left(3x+2\right)\left(x+4\right)^6+C$$

Answer

$$\frac{1}{21}\left(3x-2\right)\left(x-4\right)^6+C$$

Answer

$$\frac{1}{42}\left(3x-2\right)\left(x+4\right)^6+C$$

Answer

$$\frac{1}{42}\left(3x+2\right)\left(x+4\right)^6+C$$

Question 4

Jika $$f$$ dan $$f\left(-1\right)=-6$$ serta $$f\left(2\right)=6,$$ maka $$f\left(x\right)=....$$

Accepted Answer

$$x^3-3x^2+4x+2$$

Answer

$$x^3-3x^2+6$$

Answer

$$x^3-3x^2+5x-3$$

Answer

$$x^3-3x^2-2x+6$$

Answer

$$x^3-3x^2-4x+8$$

Question 5

Nilai $$\int_0^2\left(3x+9\right)\sqrt[]{x^2+6x}dx$$ adalah ....

Accepted Answer

64

Answer

4

Answer

8

Answer

16

Answer

32

Question 6

Hasil dari $$\int_{ }^{ }\left(x^2\cdot\cos x\right)dx=....$$

Accepted Answer

$$x^2\cdot\sin x+2x\cdot\cos x-2\sin x+C$$

Answer

$$x^2\cdot\sin x-2x\cdot\cos x-2\sin x+C$$

Answer

$$x^2\cdot\sin x-2x\cdot\cos x+2\sin x+C$$

Answer

$$x^2\cdot\cos x+2x\cdot\cos x-2\cos x+C$$

Answer

$$x^2\cdot\cos x-2x\cdot\cos x-2\cos x+C$$

Question 7

Hasil dari $$\int_0^{\pi}\left(\sin3x+\cos x\right)dx=....$$

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{10}{3}$$

Answer

$$\frac{8}{3}$$

Answer

$$\frac{4}{3}$$

Answer

$$-\frac{4}{3}$$

Question 8

Hasil $$\int_{ }^{ }\left(\cos^{3\ }3x\cdot\sin3x\right)dx=....$$

Accepted Answer

$$-\frac{1}{12}\cos^4\ 3x+C$$

Answer

$$-\frac{1}{3}\cos^4\ 3x+C$$

Answer

$$-\frac{1}{9}\cos^4\ 3x+C$$

Answer

$$\frac{1}{12}\cos^{4\ }3x+C$$

Answer

$$\frac{1}{9}\cos^4\ 3x+C$$

Question 9

Kecepatan $$v$$ dari sebuah benda ditentukan oleh persamaan $$v=3t^2+2t$$ dengan $$v$$ dalam meter per detik dan $$t$$ dalam detik . Jarak yang ditempuh oleh benda selama 2 detik adalah 12 m, maka jarak tempuhnya selama 5 detik adalah ....

Accepted Answer

150 m

Answer

90 m

Answer

120 m

Answer

180 m

Answer

200 m

Question 10

Perhatikan gambar.

Luas daerah yang diarsir adalah ... satuan luas.

Accepted Answer

$$\frac{9}{2}$$

Answer

$$\frac{9}{5}$$

Answer

$$3$$

Answer

$$\frac{7}{2}$$

Answer

$$\frac{11}{2}$$

Question 11

Jika daerah yang diarsir pada gambar berikut diputar mengelilingi sumbu- sejauh , maka volume benda putar yang terjadi adalah ... satuan volume.

Accepted Answer

$$12\ \frac{4}{15}\pi$$

Answer

$$10\ \frac{2}{3}\pi$$

Answer

$$12\ \frac{2}{15}\pi$$

Answer

$$12\ \frac{11}{15}\pi$$

Answer

$$14\ \frac{2}{3}\pi$$

Question 12

Jika $$\left(x+1\right)$$ dan $$\left(x-3\right)$$ adalah faktor-faktor dari $$f\left(x\right)=3x^3-5x^2+px+q$$ , maka nilai $$p$$ dan $$q$$ berturut-turut adalah ....

Accepted Answer

-11 dan -3

Answer

-11 dan -19

Answer

-11 dan 3

Answer

11 dan 3

Answer

11 dan 19

Question 13

Jika $$P\left(x\right)=x^6-x^3+2$$ dibagi oleh $$\left(x^2-1\right),$$ maka sisa pembagiannya adalah ....

Accepted Answer

$$-x+3$$

Answer

$$-x-3$$

Answer

$$-x-2$$

Answer

$$-x+2$$

Answer

$$-x+4$$

Question 14

Jika $$p\left(x ight)=x^3+ax^2+2x+b$$ dengan $$a e0$$ habis dibagi $$\left(x^2+2 ight),$$ maka nilai $$\frac{b}{2a}$$ adalah ....

Accepted Answer

$$1$$

Answer

$$\frac{1}{4}$$

Answer

$$\frac{1}{2}$$

Answer

$$2$$

Answer

$$4$$

Question 15

Diketahui $$\left(x-2\right)$$ dan $$\left(x-1\right)$$ adalah faktor-faktor suku banyak $$x^3+ax^2-13x+b.$$ Jika $$x_1,\ x_2,\ dan\ x_3$$ adalah akar-akar suku banyak tersebut, maka nilai dari $$x_1\cdot x_2\cdot x_3=....$$

Accepted Answer

-10

Answer

-8

Answer

8

Answer

10

Answer

12

Question 16

Jika $$9,\ x_1,\ x_2$$ merupakan tiga faktor dari $$x^3-6x^2-ax+b=0$$ dengan $$b-a=5,$$ maka $$x_1+x_2+x_1x_2=....$$

Accepted Answer

-7

Answer

-4

Answer

-1

Answer

1

Answer

3

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