$\frac{1}{3}$

3

$-\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{(1+\ln x)}$

$\frac{1}{\ln x}$

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

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

200

180

270

300

4

8

12

16

3

-3

2

-2

0

1

$\frac{1}{2}$

-1

${\tan }^{-1} (e+1) - {\tan }^{1}2$

${\tan }^{-1} e-\frac{\mathrm{\pi }}{4}$

${\tan }^{-1} \left(e+\frac{\mathrm{\pi }}{4}\right)$

${\tan }^{-1} (e-1) - {\tan }^{1}1$

$n\mathrm{\pi }\pm \infty$

$\left(2\mathrm{n}-1\right)\mathrm{\pi }\pm \infty$

$\left(2\mathrm{n}+1\right)\mathrm{\pi }\pm \infty$

$2\mathrm{n\pi }\pm \infty$

$\frac{6}{x^4}$

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

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

$\frac{-6}{x^4}$

$\sin \theta$

$\cos \theta$

$\tan \theta$

$-\tan \theta$

1106.8 m

1200 m

1650 m

550.50 m

$\pm 2i$

$\left(\sqrt{3}\pm i^2\right)$

$\sqrt{2i}$

$\sqrt{3i}$

A |4, -2, 9|

$\left|\begin{array}{ccc}4& 8& 12\\ -1& -2& -3\\ 3& 6& 9\end{array}\right|$

$\left|\begin{array}{c}4\\ -2\\ 0\end{array}\right|$

$\left|\begin{array}{cc}1& 1\end{array}\right|$

$\frac{1}{2}ab(\mathrm{\pi }+2)$

$ab(\mathrm{\pi }-1)$

$\frac{1}{4}ab(\mathrm{\pi }-2)$

$\frac{1}{4}(\mathrm{\pi }+2)$

12

$\pm 8$

$\frac{6}{5}$

$\frac{5}{4}$

-3

6

4

-4

333

11660

2255

2449440

$y^2+1=2y$

$y^2+1=2x$

$y^2-2x =1$

$y^2+2x =1$

$40°$

$90°$

$60°$

$30°$

$90°$

$150°$

$120°$

$45°$

31

33

16

32

- cos 2x

- cos x

cos 2x

sin 2x

(1, 1)

(1, 0)

(0, 1)

(0, 0)

$\frac{1}{2}$ বর্গ একক

1 বর্গ একক

2 বর্গ একক

3 বর্গ একক

$cot\frac{A}{2}$

$\tan \frac{A}{2}$

$-cot\frac{A}{2}$

$-\tan \frac{A}{2}$

$7.5 \times {10}^{-8}N$

$8.2 \times {10}^{-8}N$

$9.1 \times {10}^{-8}N$

$9.7 \times {10}^{-8}N$

$3.0 \times {10}^{2 }KJ$

$3.36 \times {10}^{2 }KJ$

$4.0 \times {10}^{2 }KJ$

$4.36 \times {10}^{2 }KJ$

দ্বিগুণ

তিনগুণ

চারগুণ

পাঁচগুণ

$500.25°$

$550.25°$

$565.25°$

$574.25°$

-100 Hz

50 Hz

100 Hz

160 Hz

$0°$

$30°$

$45°$

$60°$

$\frac{1}{2}M{R}^2$

$M{R}^2$

$\frac{1}{\sqrt{2}}M{R}^2$

$\frac{1}{\sqrt{3}}M{R}^2$

$\frac{L}{4}$

$\frac{L}{2}$

$2L$

$4L$

$\left(\sqrt{2} +1\right)m{s}^{-1}$

$\sqrt{2}\left(\sqrt{2} +1\right)m{s}^{-1}$

$2\left(\sqrt{2} -1\right)m{s}^{-1}$

$2\left(\sqrt{2} +1\right)m{s}^{-1}$

$1\times {10}^{7}N$

$1.5\times {10}^{7}N$

$2\times {10}^{7}N$

${10}^{11}N$

8.1%

9.1%

11.1%

12.1%

4.580 mm

1.013 mm

273.16 mm

12.93 mm

10 গুণ

16 গুণ

$\frac{327}{27}$ গুণ

20 গুণ

$\frac{1}{\sin 21°}$

$\frac{1}{\sin 19°}$

$\frac{1}{\sin 16°}$

$\frac{1}{\sin 19°}$

1.67

$\frac{15}{9}$

1.49

1.60

10 cm

15 cm

20 cm

25 cm

0.875 ev

1.875 ev

2.875 ev

2.875 ev

15 kg

20 kg

22 kg

23 kg

$2.02\times {10}^{2}N{m}^{-2}$

$2.02\times {10}^{3}N{m}^{-2}$

$2.02\times {10}^{3}N{m}^{-2}$

$2.02\times {10}^{5}N{m}^{-2}$

$E \alpha T$

$E \alpha T^2$

$E \alpha T^4$

$E \alpha T^5$

$2.26\times {10}^{3}J{K}^{-1}$

$3.26\times {10}^{3}J{K}^{-1}$

$6.05\times {10}^{3}J{K}^{-1}$

$6.05\times {10}^{6}J{K}^{-1}$

3 kN

6 kN

9 kN

18 kN

-1.3 cm

0.13 cm

1.3 cm

7.5 cm

$2.6\times {10}^{8}m{s}^{-1}$

$3\times {10}^{8}m{s}^{-1}$

$3.6\times {10}^{8}m{s}^{-1}$

$3.6\times {10}^{9}m{s}^{-1}$

0.177

0.347

0.522

0.958