Quiz about US MATEMATIKA PEMINATAN 2024

Question 1

Himpunan penyelesaian dari persamaan $$\cos\ 2x\ =\frac{1}{2}\ \sqrt[]{3}$$ untuk $$0\degree\le x\le360\degree\ $$ adalah ......

Accepted Answer

$$\left\{15\degree,\ 165\degree,\ 195\degree,\ 345\degree\right\}$$

Answer

$$\left\{30\degree,\ 165\degree,\ 195\degree,\ 365\degree\right\}$$

Answer

$$\left\{30\degree,\ 135\degree,\ 165\degree,\ 365\degree\right\}$$

Answer

$$\left\{15\degree,\ 165\degree,\ 195\degree,\ 365\degree\right\}$$

Answer

$$\left\{15\degree,\ 135\degree,\ 165\degree,\ 345\degree\right\}$$

Question 2

Hasil dari $$\cos\ 195\degree-\cos\ 75\degree\ $$ adalah ....

Accepted Answer

$$-\frac{1}{2}\ \sqrt[]{6}$$

Answer

$$-\frac{1}{3}\ \sqrt[]{6}$$

Answer

$$-\frac{1}{4}\ \sqrt[]{6}$$

Answer

$$-\frac{1}{5}\ \sqrt[]{6}$$

Answer

$$-\frac{1}{6}\ \sqrt[]{6}$$

Question 3

Titik pusat lingkaran yang diketahui persamaannya $$x^2+y^2-6x+8y-5=0$$ adalah .....

Accepted Answer

$$\left(6,\ -4\right)$$

Answer

$$\left(-12,\ 8\right)$$

Answer

$$\left(-6,\ 4\right)$$

Answer

$$\left(6,\ 4\right)$$

Answer

$$\left(12,\ 8\right)$$

Question 4

Hasil dari $$\left(x^2-4\right)\left(x+1\right)-\left(7-x^3+x^4\right)$$ adalah ....

Accepted Answer

$$-x^4+2x^3+x^2-4x-11$$

Answer

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

Answer

$$-x^4+2x^3+x^2-4x+11$$

Answer

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

Answer

$$x^4+2x^3+x^2-4x-11$$

Question 5

$$\lim_{x\rightarrow\infty}\ \frac{4x^3+2x+1}{5x^3-8x^2+6}=...$$

Accepted Answer

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

Answer

$$\frac{5}{3}$$

Answer

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

Answer

$$4$$

Answer

$$5$$

Question 6

Nilai dari $$\lim_{x\rightarrow\infty}\ \frac{\sin\ 2x}{3x}=...$$

Accepted Answer

0

Answer

$$-1$$

Answer

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

Answer

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

Answer

$$1$$

Question 7

Diketahui fungsi $$F\left(x\right)=\sin^2\left(2x+3\right)$$ dan turunan pertama dari $$F$$ adalah $$F$$ . Maka $$F$$

Accepted Answer

$$4\ \sin\left(2x+3\right)\ \cos\left(2x+3\right)$$

Answer

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

Answer

$$2\ \sin\left(2x+3\right)\ \cos\left(2x+3\right)$$

Answer

$$-4\ \sin\left(2x+3\right)\ \cos\left(2x+3\right)$$

Answer

$$\sin\left(2x+3\right)\ \cos\left(2x+3\right)$$

Question 8

Persamaan garis singgung kurva $$y=3x^2-x^3$$ yang sejajar garis $$y=3x+7$$ adalah ...

Accepted Answer

$$y=3x-1$$

Answer

$$y=3x+1$$

Answer

$$y=x-3$$

Answer

$$y=x+3$$

Answer

$$y=3x-4$$

Question 9

Peluang Messi mencetak gol pinalti adalah satu dari dua kali kesempatan. Dari 5 kali tendangan pinalti, peluang Messi mencetak 3 gol adalah ...

Accepted Answer

$$\frac{5}{16}$$

Answer

$$\frac{3}{5}$$

Answer

$$\frac{3}{15}$$

Answer

$$\frac{5}{15}$$

Answer

$$\frac{3}{16}$$

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