Quiz about UAS Matematika Teknik

Question 1

Nilai dari $$\lim_{x\rightarrow2}\ \frac{x^2-5x+6}{x^2+2x-8}$$ adalah ....

Accepted Answer

-1/6

Answer

2

Answer

1

Answer

1/6

Answer

6

Question 2

Nilai dari $$\lim_{x\rightarrow3}\ \frac{x^2-9}{x-3}$$ adalah ....

Accepted Answer

6

Answer

0

Answer

-3

Answer

9

Answer

3

Question 3

Hitunglah $$\lim_{x\rightarrow1}\ \frac{x^2-1}{x-1}$$ ....

Accepted Answer

1

Answer

-1

Answer

2

Answer

3

Answer

0

Question 4

Nilai dari $$\lim_{x\rightarrow5}\ \frac{x^2-25}{x-5}$$ adalah ....

Accepted Answer

10

Answer

25

Answer

5

Answer

0

Answer

20

Question 5

$$\int_{ }^{ }\left(6x^2+10x-7\right)dx\ =\ ...$$

Accepted Answer

$$2x^3+5x^2-7x+c$$

Answer

$$3x^2+5x-7x+c$$

Answer

$$2x^3+5x^2-7+c$$

Answer

$$2x^3+10x-7+c$$

Question 6

Hitunglah $$\int_{ }^{ }\left(3x^2+4x+1\right)dx\ =\ ...$$

Accepted Answer

$$x^3+2x^2+x+c$$

Answer

$$3x^3+4x^2+c$$

Answer

$$x^3+2x^2+1+c$$

Answer

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

Question 7

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

Accepted Answer

$$\frac{5}{4}x^4-x^3+2x+c$$

Answer

$$5x^4-3x^3+2+c$$

Answer

$$5x^4-\frac{3}{3}x^3+2x+c$$

Question 8

$$\int_{-2}^2\left(10x^4-6x-10\right)dx\ =\ ...$$

Accepted Answer

88

Answer

78

Answer

64

Answer

32

Question 9

$$\int_1^4\left(\frac{1}{x^2}-\sqrt{x}\right)dx\ =\ ...$$

Accepted Answer

$$-\frac{47}{12}$$

Answer

$$\frac{67}{18}$$

Answer

$$-\frac{24}{11}$$

Answer

$$\frac{40}{21}$$

Question 10

$$\int_{ }^{ }2x\left(x+1\right)^5\ dx\ =\ ...$$

Accepted Answer

$$\frac{1}{21}\left(6x-1\right)\left(x+1\right)^6+c$$

Answer

$$\frac{1}{18}\left(5x-1\right)\left(x+1\right)^5+c$$

Answer

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

Answer

$$\frac{1}{12}\left(3x-1\right)\left(x+1\right)^5+c$$

Question 11

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

Accepted Answer

$$\frac{3}{5}\left(x^2+5\right)^2\sqrt{x^2+5}+c$$

Answer

$$\frac{1}{3}\left(x^2+5\right)\sqrt{x^2+5}+c$$

Answer

$$3\left(x^2+5\right)^{\frac{5}{2}}+c$$

Answer

$$\frac{1}{5}\left(x^2+5\right)^{\frac{5}{2}}+c$$

Question 12

$$\int_{ }^{ }2x^3\left(x^4-1\right)^3\ dx\ =...$$

Accepted Answer

$$\frac{1}{8}\left(x^4-1\right)^4+c$$

Answer

$$\frac{1}{2}\left(x^4-1\right)^4+c$$

Answer

$$\frac{1}{4}\left(x^4-1\right)^4+c$$

Answer

$$-\frac{1}{6}\left(x^4-1\right)^4+c$$

Question 13

$$\int_{ }^{ }x\sqrt{x^2-1}\ dx\ =\ ...$$

Accepted Answer

$$\frac{1}{3}\left(x^2-1\right)^{\frac{3}{2}}+c$$

Answer

$$\frac{x}{3}\left(x^2-1\right)^{\frac{3}{2}}+c$$

Answer

$$\frac{1}{3}\left(x^2-1\right)^{\frac{2}{3}}+c$$

Answer

$$\frac{x}{3}\left(x^2-1\right)^{\frac{2}{3}}+c$$

Question 14

$$\int_{ }^{ }\ \frac{x}{\left(1-2x^2\right)^6}\ dx^{\ }=\ ...$$

Accepted Answer

$$\frac{1}{20\left(1-2x^2\right)^5}+c$$

Answer

$$-\frac{1}{20\left(1-2x^2\right)^5}+c$$

Answer

$$-\frac{1}{5\left(1-2x^2\right)^5}+c$$

Answer

$$\frac{1}{5\left(1-2x^2\right)^5}+c$$

Question 15

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

Accepted Answer

$$\frac{1}{14}\left(2x-5\right)^7+c$$

Answer

$$\frac{1}{7}\left(2x-5\right)^7+c$$

Answer

$$\left(2x-5\right)^7+c$$

Answer

$$\frac{2}{7}\left(2x-5\right)^7+c$$

Question 16

$$\int_{ }^{ }\ \frac{3}{2x^5}dx\ =\ ...$$

Accepted Answer

$$-\frac{3}{8x^4}+c$$

Answer

$$-\frac{3}{2x^6}+c$$

Answer

$$\frac{3}{2x^4}+c$$

Answer

$$\frac{3}{8x^3}+c$$

Question 17

$$\frac{ ext{d}}{ ext{d}y}(\frac{2}{3}x^2-2x+4)=....$$

Accepted Answer

$$\frac{4}{3}x-2$$

Answer

$$\frac{4}{3}x+2$$

Answer

$$\frac{4}{3}x^2-2$$

Answer

$$\frac{4}{3}x^2+2$$

Answer

$$\frac{4}{3}x^2+2x$$

Question 18

$$f(x)=-3x^3+6x^2-2x+5$$ tentukan turunan pertama

Accepted Answer

$$-9x^2+12x-2$$

Answer

$$9x^2+12x+2$$

Answer

$$9x^2+12x$$

Answer

$$-9x^2-12x-2$$

Answer

$$9x^2-12x+2$$

Question 19

$$Jika\ f(x-9)=x^2+2x+1\ $$ maka turunan pertamanya adalah

Accepted Answer

$$2(x+10)$$

Answer

$$2\left(x-10\right)$$

Answer

$$2(2x-10)$$

Answer

$$2(2x+10)$$

Answer

$$-2\left(x+10\right)$$

Question 20

$$f(t)=(3t^2-2t)(t-1)$$ maka $$\frac{ ext{d}f\left(t ight)}{ ext{d}t}$$

Accepted Answer

$$9t^2-8t+1$$

Answer

$$-9t^2-8t+1$$

Answer

$$9t^2-8t-1$$

Answer

$$9t^2+8t+1$$

Answer

$$-9t^2-8t-1$$

Question 21

$$Diketahui\ g(x)=x^3+2x^2-2√x.$$ Nilai dari 3 g'(9) adalah

Accepted Answer

$$836$$

Answer

$$-836$$

Answer

$$-837$$

Answer

$$837$$

Answer

$$838$$

Question 22

Jika $$y=3x-x^3$$ maka $$\frac{ ext{d}x}{ ext{d}y}$$ adalah ....

Accepted Answer

$$-3x^2+3$$

Answer

$$-3x^2-3$$

Answer

$$-3x+3$$

Answer

$$-3x$$

Answer

$$-3x-3$$

Question 23

$$Jika\ f(t)=at^2+bt+c$$ maka $$\frac{ ext{d}f\left(t ight)}{ ext{d}t}-2b=$$ ....

Accepted Answer

$$2at-b$$

Answer

$$2at+b$$

Answer

$$at-b$$

Answer

$$at$$

Answer

$$2at$$

Question 24

$$Diketahui\ f(x)=3x^2+kx-15.$$ Jika f'(6) = 40, maka nilai k adalah ...

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Answer

10

Question 25

$$Diketahui\ f(x)=\frac{2}{3}x^3-5x^2-100x+6$$ dan f'(a)=o dengan a1 > a2. nilai -5(a2) -a1 = ....

Accepted Answer

$$15$$

Answer

$$25$$

Answer

$$20$$

Answer

$$10$$

Answer

$$5$$

Question 26

Suatu sepeda motor bergerak dengan persamaan jarak $$s=f(t)=5t^2+2t-1$$ (dalam km). Kecepatan sepeda motor tersebut pada saat t = 4 jam adalah ....

Accepted Answer

$$42\ km/jam$$

Answer

$$52\ km/jam$$

Answer

$$50\ km/jam$$

Answer

$$48\ km/jam$$

Answer

$$26\ km/jam$$

Question 27

$$\int_{0}^{1}\left(4x^3-2x^2+1\right)dx\ =\ ...$$

Accepted Answer

$$\frac{5}{4}$$

Answer

$$\frac{7}{12}$$

Answer

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

Answer

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

Question 28

$$Diketahui\ f(x)=x^4-4x^3+6x^2-24x+5.$$ Jika f'(2) = 0, maka nilai f(2) adalah ....

Accepted Answer

1

Answer

-1

Answer

0

Answer

2

Question 29

Nilai dari $$\lim_{x\rightarrow4}\ \frac{x^2-16}{x-4}$$ adalah ....

Accepted Answer

8

Answer

2

Answer

0

Answer

16

Answer

4

Question 30

Hitunglah $$\int_{ }^{ }\left(7x^2-4x+3\right)dx\ =\ ...$$

Accepted Answer

$$7x^3-2x^2+3x+c$$

Answer

$$7x^3-4x^2+3+c$$

Answer

$$\frac{7}{3}x^3-2x^2+3x+c$$

Answer

$$\frac{7}{3}x^3-2x^2+3+c$$

Question 31

Jika $$y=2x^2+3x-5$$ , maka $$\frac{ ext{d}y}{ ext{d}x}$$ adalah ....

Accepted Answer

$$4x+3$$

Answer

$$2x^2+3$$

Answer

$$3x+2$$

Answer

$$2x+3$$

Question 32

Suatu mobil bergerak dengan persamaan jarak $$s=f(t)=3t^3-4t^2+2t$$ (dalam km). Kecepatan mobil tersebut pada saat t = 2 jam adalah ....

Accepted Answer

$$28\ km/jam$$

Answer

$$20\ km/jam$$

Answer

$$24\ km/jam$$

Answer

$$30\ km/jam$$

Question 33

Jika $$y=4x^3-2x^2+5$$ , maka $$\frac{ ext{d}y}{ ext{d}x}$$ adalah ....

Accepted Answer

$$12x^2-4x$$

Answer

$$8x^2-4x+5$$

Answer

$$4x^2-2x+5$$

Answer

$$12x^2-2$$

Question 34

$$\int_{ }^{ }\left(5x^2-3x+1\right)dx\ =\ ...$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 35

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

Accepted Answer

$$\frac{5}{4}x^4+x^3-2x+c$$

Answer

$$\frac{5}{4}x^4+x^3+c$$

Answer

$$\frac{5}{4}x^4+\frac{3}{3}x^3-2x+c$$

Answer

$$\frac{5}{4}x^4+\frac{3}{2}x^3+c$$

Question 36

$$Jika\ f(x)=x^3-3x^2+4x-1\ $$ maka turunan pertamanya adalah

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 37

$$\int_{ }^{ }\left(3x^2+4x+1\right)dx\ =\ ...$$

Accepted Answer

$$x^3+2x^2+x+c$$

Answer

$$\frac{3}{3}x^3+2x^2+x+c$$

Answer

$$3x^3+2x^2+x+c$$

Answer

$$x^3+2x^2+\frac{1}{3}x+c$$

Question 38

$$Diketahui\ h(x)=2x^4-3x^3+5x-1.$$ Jika h'(1) = 0, maka nilai h(1) adalah ....

Accepted Answer

2

Answer

1

Answer

0

Answer

3

Question 39

Hitunglah $$\int_{ }^{ }\left(8x^2-6x+4\right)dx\ =\ ...$$

Accepted Answer

$$\frac{8}{3}x^3-3x^2+4+c$$

Answer

$$8x^3-6x^2+4+c$$

Answer

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

Answer

$$\frac{8}{3}x^3-3x^2+4x+c$$

Question 40

$$Diketahui\ g(x)=4x^3-12x^2+9x+1.$$ Jika g'(3) = 0, maka nilai g(3) adalah ....

Accepted Answer

1

Answer

-1

Answer

2

Answer

0

Question 41

Nilai dari $$\int_{ }^{ }\left(7x^2-4x+1\right)dx\ =\ ...$$

Accepted Answer

$$\frac{7}{3}x^3-2x^2+x+c$$

Answer

$$7x^3-2x^2+c$$

Answer

$$7x^3-4x+c$$

Answer

$$\frac{7}{3}x^3-4x+c$$

Question 42

Hitunglah $$\int_{ }^{ }\left(6x^2-4x+3\right)dx\ =\ ...$$

Accepted Answer

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

Answer

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

Answer

$$2x^3-2x^2+\frac{3}{2}x+c$$

Question 43

Nilai dari $$\lim_{x\rightarrow2}\ \frac{x^2-4}{x-2}$$ adalah ....

Accepted Answer

4

Answer

0

Answer

2

Answer

8

Answer

16

Question 44

$$Diketahui\ f(x)=5x^4-10x^3+3x^2-2.$$ Jika f'(1) = 0, maka nilai f(1) adalah ....

Accepted Answer

2

Answer

0

Answer

1

Answer

-1

Question 45

Hitunglah $$\lim_{x\rightarrow3}\ \frac{x^2-9}{x-3}$$ ....

Accepted Answer

6

Answer

3

Answer

9

Answer

12

Answer

0

Question 46

$$Diketahui\ f(x)=2x^3-6x^2+4x-8.$$ Jika f'(2) = 0, maka nilai f(2) adalah ....

Accepted Answer

2

Answer

6

Answer

4

Answer

0

Question 47

Hitunglah $$\int_{ }^{ }\left(4x^3-2x^2+5\right)dx\ =\ ...$$

Accepted Answer

$$4x^4-2x^3+5x+c$$

Answer

$$\frac{4}{4}x^4-\frac{2}{3}x^3+5+c$$

Answer

$$4x^4-\frac{2}{3}x^3+5x+c$$

Answer

$$x^4-x^3+5x+c$$

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