Quiz about Remidi ASAS Matematika Lanjut XII A

Question 1

Nilai $$\lim_{{x o -1}} (4x^3 + 5x^2 - 3x - 2) = \ldots$$

Accepted Answer

2

Answer

-4

Answer

-2

Answer

4

Answer

5

Question 2

Nilai $$\lim_{{x o 2}} \frac{{x^2 - 5x + 6}}{{x^2 + 2x - 8}} = \ldots$$

Accepted Answer

$$-\frac{1}{6}$$

Answer

$$\infty$$

Answer

6

Answer

$$\frac{1}{6}$$

Answer

0

Question 3

Turunan pertama dari $$F\left(x\right)=\frac{1}{2}x^4+\frac{2}{3}x^3-4x+1$$ adalah ....

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

$$2x^3+2x^2-4x+1$$

Question 4

Turunan pertama dari $$\left(2x^2+x+1\right)^5$$ adalah

Accepted Answer

$$(20x+5)(2x^2+x+1)^4$$

Answer

$$(2x^2+x+1)^4$$

Answer

$$5x\ (2x^2+x+1)^4$$

Answer

$$(20x+1)(2x^2+x+1)^4$$

Answer

$$(4x+1)(2x^2+x+1)^4$$

Question 5

Turunan pertama dari $$f(x)=\frac{2x+8}{3x+1}$$ adalah ...

Accepted Answer

$$\frac{-22}{(3x+1)^2}$$

Answer

$$\frac{22}{(3x+1)^2}$$

Answer

$$-\frac{11}{(3x+1)^2}$$

Answer

$$\frac{11}{(3x+1)^2}$$

Answer

$$\frac{26}{(3x+1)^2}$$

Question 6

Turunan pertama fungsi $$f(x) = 3 \sin^4 2x$$ adalah ....

Accepted Answer

$$f$$

Question 7

Grafik fungsi $$f(x) = x^3 - 9x^2 + 15x - 5$$ naik pada interval ....

Accepted Answer

$$x < 1 ext{ atau } x > 5$$

Answer

$$-1 < x < 5$$

Answer

$$1 < x < 5$$

Answer

$$x < 5 ext{ atau } x > 1$$

Question 8

Suatu mesin diprogram untuk menggerakkan alat penggores sehingga posisi alat dinyatakan dengan $$x=3\cos4t$$ dan $$y=2t$$ (posisi dalam satuan cm dan t dalam detik). Kecepatan alat tersebut dinyatakan dengan $$\ \ v=\sqrt[]{\left(\left(x$$ dalam satuan cm/detik. Besar kecepatan gerak alat tersebut pada saat $$t=\frac{\pi}{2}$$ adalah ... cm/detik.

Accepted Answer

2

Answer

$$\sqrt{13}$$

Answer

$$6\sqrt{5}$$

Answer

$$6\sqrt{6}$$

Answer

12

Question 9

$$\int \left[3x^2-4x+5\right] \, dx=...$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

$$x^3+2x^2+5x+C$$

Question 10

$$\int \frac{1}{x^2} \, dx=...$$

Accepted Answer

$$-\frac{1}{x}+C$$

Answer

$$\frac{1}{x}+C$$

Answer

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

Answer

$$-2x+C$$

Answer

$$2x+C$$

Question 11

$$\int 2x(x^2+7)^6 \, dx=...$$

Accepted Answer

$$\frac{1}{7}(x^2+7)^7+C$$

Answer

$$\frac{1}{7}(x+7)^7+C$$

Answer

$$-\frac{1}{7}(x^2+7)^7+C$$

Question 12

Hasil dari $$\int (x^2 - 1) \cos x \, dx = \ldots$$

Accepted Answer

$$(x^2-3)\sin x+2x\cos x+C$$

Answer

$$(x^2-1)\sin x+2x\cos x+C$$

Answer

$$(x^2+1)\sin x+2x\cos x+C$$

Answer

$$(x^2+3)\sin x+2x\cos x+C$$

Answer

$$(x^2+3)\sin x-2x\cos x+C$$

Question 13

Hasil dari $$\int_{0}^{2} (6x^2 + 2x - 3) \, dx$$ adalah ....

Accepted Answer

D. 14

Answer

A. 11

Answer

B. 12

Answer

C. 13

Answer

E. 15

Question 14

Nilai dari $$\int_0^22x\ \left(8-x^2\right)dx=\ldots$$

Accepted Answer

24

Answer

18

Answer

20

Answer

22

Answer

26

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