Quiz about 594 Part 2 Matematika

Question 1

1. Seorang penjahit akan membuat 2 model pakaian. Dia mempunyai persediaan kain batik 40 meter dan kain polos 15 meter. Model A memerlukan 1 meter kain batik dan 1,5 meter kain polos, sedang model B memerlukan 2 meter kain batik dan 0,5 kain polos. Maksimum banyak pakaian yang mungkin dapat dibuat adalah ....

Accepted Answer

22

Answer

10

Answer

20

Answer

25

Answer

30

Question 2

Nilai dari $$\lim_{x\rightarrow4}\ \frac{3x^2-14x+8}{x^2-3x-4}=....$$

Accepted Answer

2

Answer

4

Answer

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

Answer

-2

Answer

-4

Question 3

Nilai dari $$\lim_{x\rightarrow0}\ \left(\frac{3x}{\sqrt[]{9+x}-\sqrt[]{9-x}}\right)=....$$

Accepted Answer

9

Answer

3

Answer

6

Answer

12

Answer

15

Question 4

Nilai dari $$\lim_{x\rightarrow-2}\ \frac{3-\sqrt[]{2x^2+1}}{x^2-x-6}=....$$

Accepted Answer

$$-\frac{4}{15}$$

Answer

$$-\frac{2}{5}$$

Answer

$$-\frac{2}{15}$$

Answer

$$\frac{2}{15}$$

Answer

$$\frac{4}{15}$$

Question 5

Jika $$\lim_{x\rightarrow1}\ \frac{\sqrt[]{ax^2+b}-3}{x-1}=M,\ $$ maka $$\lim_{x\rightarrow1}\ \frac{\sqrt[]{\frac{ax^2}{4}+\frac{b}{b}}-x-\frac{1}{2}}{x^2+x-2}=....$$

Accepted Answer

$$\frac{M-2}{6}$$

Answer

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

Answer

$$\frac{M-2}{3}$$

Answer

$$\frac{M-1}{3}$$

Answer

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

Question 6

Nilai dari $$\lim_{x\rightarrow\infty}\ \left(\sqrt[]{4x+2}-\sqrt[]{4x}\right)\sqrt[]{x+1}=....$$

Accepted Answer

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

Answer

$$-1$$

Answer

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

Answer

$$0$$

Answer

$$1$$

Question 7

Nilai dari $$\lim_{x\rightarrow\infty}\ \left(6x-\sqrt[]{16x^2-8x+12}-\sqrt[]{4x^2+8x-12}\right)=....$$

Accepted Answer

$$-2$$

Answer

$$-1$$

Answer

$$0$$

Answer

$$1$$

Answer

$$2$$

Question 8

Nilai dari $$\lim_{x\rightarrow0}\ \frac{3\sin8x\cdot\sin4x}{\cos2x-1}=....$$

Accepted Answer

-48

Answer

-24

Answer

-16

Answer

24

Answer

26

Question 9

Nilai dari $$\lim_{x\rightarrow\infty}\ x^2\left(\cos\ \frac{1}{2x}-1\right)=....$$

Accepted Answer

$$-\frac{1}{8}$$

Answer

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

Answer

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

Answer

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

Answer

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

Question 10

Nilai dari $$\lim_{x ightarrow0}\ \frac{3x an x}{\cos6x-1}=....$$

Accepted Answer

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

Answer

$$2$$

Answer

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

Answer

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

Answer

$$-\frac{1}{3}$$

Question 11

Nilai dari $$\lim_{x ightarrow\ \frac{\pi}{4}}\ \frac{1- an x}{\sin x-\cos x}=....$$

Accepted Answer

$$-\sqrt[]{2}$$

Answer

$$-2\sqrt[]{2}$$

Answer

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

Answer

$$\sqrt[]{2}$$

Answer

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

Question 12

Diketahui $$f\left(x\right)=2x^2-4x+3,\ $$ hasil $$\lim_{h\rightarrow0}\ \frac{f\left(x+h\right)-f\left(x\right)}{h}=....$$

Accepted Answer

$$4x-4$$

Answer

$$x-1$$

Answer

$$2x-1$$

Answer

$$2x-4$$

Answer

$$4x-1$$

Question 13

Turunan pertama dari fungsi $$f\left(x\right)=\left(2x^2-3x+1\right)^4$$ dari $$f\left(x\right)$$ adalah $$f$$

Accepted Answer

$$\left(16x-12\right)\left(2x^2-3x+1\right)^3$$

Answer

$$4\left(2x^2-3x+1\right)^3$$

Answer

$$4x\left(2x^2-3x+1\right)^3$$

Answer

$$\left(16x-3\right)\left(2x^2-3x+1\right)^3$$

Answer

$$\left(4x-3\right)\left(2x^2-3x+1\right)^3$$

Question 14

Jika $$f\left(x\right)=\frac{6-x^2}{x+2}+5,$$ maka turunan fungsi $$f$$ adalah $$f$$

Accepted Answer

$$-\frac{2}{\left(x+2\right)^2}-1$$

Answer

$$\frac{2}{\left(x+2\right)^2}-1$$

Answer

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

Answer

$$\frac{x^2+4x+6}{\left(x+2\right)^2}$$

Answer

$$-3x^2-4x+6$$

Question 15

Syarat agar fungsi $$f\left(x\right)=-x^3+\frac{1}{2}ax^2-\frac{1}{2}x^2-3x+8$$ selalu turun untuk semua nilai real $$x$$ adalah .....

Accepted Answer

$$-5<a<7$$

Answer

$$a<-5\ atau\ a>7$$

Answer

$$a<0\ atau\ a>4$$

Answer

$$-7<a<5$$

Answer

$$4<a<7$$

Question 16

Jika fungsi $$f\left(x\right)=x^3+ax^2-bx+c$$ turun hanya pada interval $$\left(-3,\ 1\right),$$ maka nilai $$a+b$$ adalah ....

Accepted Answer

12

Answer

-12

Answer

-6

Answer

5

Answer

6

Question 17

Persamaan garis yang melalui $$A\left(1,\ -4\right)$$ dan tegak lurus dengan garis singgung kurva $$y=x^2+x-6$$ adalah ....

Accepted Answer

$$x+3y+11=0$$

Answer

$$x+3y-13=0$$

Answer

$$x+3y-11=0$$

Answer

$$3x-y+1=0$$

Answer

$$3x-y+7=0$$

Question 18

Persamaan garis singgung kurva $$y=\sqrt[]{3x+1}$$ yang sejajar garis $$3x-4y-9=0$$ adalah ....

Accepted Answer

$$3x-4y+5=0$$

Answer

$$4x-3y+5=0$$

Answer

$$4x-3y-11=0$$

Answer

$$3x-4y+2=0$$

Answer

$$3x-4y-11=0$$

Question 19

Jika fungsi $$f\left(x\right)=x^3+3x^2-9x$$ dalam interval $$-4\le x\le-1$$ mempunyai nilai maksimum $$a$$ dan minimum $$b$$ maka $$a+b$$ adalah ...

Accepted Answer

22

Answer

20

Answer

27

Answer

35

Answer

38

594 Part 2 Matematika

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