Quiz about PAS Matematika Peminatan XII MIPA

Question 1

$$\lim_{x\rightarrow\ \frac{\pi}{6}}\left(2\ \sin\ 3x\right)=...$$

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Answer

$$\infty$$

Question 2

$$\lim_{x\rightarrow0}\ \frac{4\ \sin^2\ 3x\ \cos\ 5x}{6x^2}=...$$

Accepted Answer

6

Answer

2

Answer

5

Answer

20

Answer

30

Question 3

$$\lim_{x\rightarrow0}\ \frac{\cos\ 8x\ -1}{2x^2\ \cos\ 3x}=\ ...$$

Accepted Answer

Answer

-8

Answer

-4

Answer

8

Answer

16

Question 4

$$\lim_{x\rightarrow0}\ \frac{\cos\ 2x}{\cos\ x\ -\sin\ x}=...$$

Accepted Answer

$$\sqrt[]{2}$$

Answer

1

Answer

$$\frac{1}{2}\ \sqrt[]{2}$$

Answer

$$\frac{1}{4}\ \ \sqrt[]{2}$$

Answer

0

Question 5

$$\lim_{x\rightarrow3}\ \frac{\sin\ \left(2x-6\right)}{x^2-9}=...$$

Accepted Answer

$$\frac{3}{6}$$

Answer

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

Answer

$$\frac{2}{6}$$

Answer

$$\frac{4}{6}$$

Answer

$$\frac{5}{6}$$

Question 6

Nilai dari $$\lim_{x\rightarrow\infty}\ \left(\sqrt[]{x^2+7x-5}-\sqrt[]{x^2-2x+4}\right)\ $$ adalah ...

Accepted Answer

$$4\frac{1}{2}$$

Answer

$$9\frac{1}{2}$$

Answer

$$7\frac{1}{2}$$

Answer

$$6\frac{1}{2}$$

Answer

$$5\frac{1}{2}$$

Question 7

Jika $$\lim_{x\rightarrow\infty}\ \frac{ax^2-2x-1}{3x-x^2+2}=3$$ , maka nilai $$a$$ yang memenuhi adalah ...

Accepted Answer

-3

Answer

0

Answer

3

Answer

6

Answer

9

Question 8

Turunan pertama dari fungsi $$f\left(x\right)=-\sin\ \left(2x-3\right)$$ adalah $$f$$

Accepted Answer

$$-2\cos\ \left(2x-3\right)$$

Answer

$$-2\ \sin\ \left(2x-3\right)$$

Answer

$$-\cos\ \left(2x-3\right)$$

Answer

$$-\frac{1}{2}\cos\ \left(2x-3\right)$$

Answer

$$2\ \cos\ \left(2x-3\right)$$

Question 9

Jika $$f\left(x\right)=\sin\ x-\cos x$$ , maka $$f$$

Accepted Answer

$$\sin\ x\ +\ \cos\ x$$

Answer

$$\cos\ x\ -\sin\ x$$

Answer

$$\sin\ x\ -\cos\ x$$

Answer

$$-\cos\ x\ -\sin\ x$$

Answer

$$ an\ x-\sec^2\ x$$

Question 10

Turunan pertama fungsi $$f\left(x\right)=7\sin\ x\ -4\cos\ 3x+2x^3$$ adalah $$f$$

Accepted Answer

$$7\cos\ x\ +12\ \sin\ 3x+6x^2$$

Answer

$$-7\cos\ x\ +12\ \sin\ 3x+6x^2$$

Answer

$$-7\cos\ x\ -12\ \sin\ 3x+6x^2$$

Answer

$$7\cos\ x\ +4\ \sin\ 3x+6x^2$$

Answer

$$7\cos\ x\ -4\ \sin\ 3x+6x^2$$

Question 11

Turunan dari fungsi $$y=\sin^3\ 2x$$ adalah ...

Accepted Answer

$$\frac{dy}{dx}=3\ \sin^2\ 2x\ \cos\ 2x$$

Answer

$$\frac{dy}{dx}=6\sin^2\ 2x\ \cos\ 2x$$

Answer

$$\frac{dy}{dx}=\sin^2\ 2x\ \cos\ 2x$$

Answer

$$\frac{dy}{dx}=3\ \sin^2\ 2x$$

Answer

$$\frac{dy}{dx}=6\ \sin^2\ 2x\ $$

Question 12

Turunan pertama dari fungsi $$f\left(x\right)=\cos^2\ \left(1-3x\right)$$ adalah $$f$$

Accepted Answer

$$3\ \sin\ \left(2-6x\right)$$

Answer

$$3\ \cos\ \left(2-6x\right)$$

Answer

$$\cos\ \left(6x-2\right)$$

Answer

$$\sin\ \left(6x-2\right)$$

Answer

$$\sin\ \left(1-3x\right)$$

Question 13

Turunan kedua dari $$f\left(x\right)=\sin\ x\ -\cos\ x$$ adalah $$f"\left(x\right)=...$$

Accepted Answer

$$\cos\ x\ -\sin\ x$$

Answer

$$\sin\ x-\cos\ x$$

Answer

$$\sin\ x\ +\ \cos\ x$$

Answer

$$-\cos\ x\ -\sin\ x$$

Answer

$$-\sin\ 2x$$

Question 14

Gradien garis singgung kurva $$y=\sin\ 2x\ +\ 1$$ di titik $$\left(\frac{\pi}{4},\ 2\right)$$ adalah ...

Accepted Answer

0

Answer

2

Answer

1

Answer

-1

Answer

-2

Question 15

Luas permukaan Balok dengan alas persegi adalah 150 cm² . Agar diperoleh volume balok maksimum, maka panjang alas balok adalah ...

Accepted Answer

5 cm

Answer

3 cm

Answer

6 cm

Answer

15 cm

Answer

25 cm

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