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แ‹จแˆ˜แŠ•แŒแˆฅแ‰ต แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒ แ•แˆฌแ‹แ‹ณแŠ•แ‰ต แŠ แˆ˜แˆซแˆจแŒฅ แŠ แ‹ฒแˆต แˆ˜แˆ˜แˆชแ‹ซ แ‰ แˆ˜แ‹˜แŒ‹แŒ€แ‰ต แˆ‹แ‹ญ แŠฅแŠ•แ‹ฐแˆšแŒˆแŠ แ‰ตแˆแˆ…แˆญแ‰ต แˆšแŠ’แˆตแ‰ดแˆญ แŒˆแˆˆแ€แกแก

แŠจแˆ˜แŠ•แŒแˆฅแ‰ต แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแ‹Žแ‰ฝ แ‹จแˆƒแ‰ฅแ‰ต แ‰ฅแŠญแАแ‰ต แŠฅแŠ“ แ‰ฅแˆแˆน แŠ แˆฐแˆซแˆญ แŒ‹แˆญ แ‰ แ‰ฐแ‹ซแ‹ซแ‹˜ แŠ แˆตแ‰ฐแ‹ซแ‹จแ‰ณแ‰ธแ‹แŠ• แˆˆแ‹แŠ“ แ‰ดแˆŒแ‰ชแ‹ฅแŠ• แ‹จแˆฐแŒกแ‰ต แ‰ตแˆแˆ…แˆญแ‰ต แˆšแŠ’แˆตแ‰ตแˆฉ แ‰ฅแˆญแˆƒแŠ‘ แАแŒ‹ (แ•/แˆญ) แŠฅแŠ•แ‹ฐแŒˆแˆˆแแ‰ตแค แ‰ แ‰ตแŒแˆซแ‹ญ แŠญแˆแˆ แŠจแˆšแŒˆแŠ™ แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแ‹Žแ‰ฝ แ‰ แˆตแ‰ฐแ‰€แˆญ แ‰ แˆแˆ‰แˆ แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแ‹Žแ‰ฝ แ‹จแˆฑแแˆญแ‰ชแ‹ฅแŠ• แ‰กแ‹ตแŠ• แ‰ แˆ˜แˆ‹แŠญ แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแ‹Žแ‰น แ‹ซแˆ‰แ‰ฃแ‰ธแ‹แŠ• แ‰ฝแŒแˆฎแ‰ฝ แˆ˜แŒ แŠ“แ‰ฑแŠ• แŒˆแˆแ€แ‹‹แˆแกแก

"แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแ‹Žแ‰ฝ แ‹จแ‰ฅแ‹™ แ‹ฐแˆƒ แˆ•แ‹แ‰ฅ แˆƒแ‰ฅแ‰ต แ‹จแˆšแˆแˆตแ‰ฃแ‰ธแ‹ แ‰ฆแ‰ณแ‹Žแ‰ฝ แŠ“แ‰ธแ‹" แ‹ซแˆ‰แ‰ต แˆšแŠ’แˆตแ‰ตแˆฉแค แˆตแˆˆแ‹šแˆ… แ‰ฐแ‰‹แˆ›แ‰ฑ แ‰ แˆ™แˆตแŠ“แŠ“ แ‰ฅแˆแˆน แŠ แˆฐแˆซแˆญ แ‹จแ‰ฐแŒจแˆ˜แˆ‹แˆˆแ‰€ แŠ แˆตแ‰ฐแ‹ณแ‹ฐแˆญ แˆŠแŠ–แˆซแ‰ธแ‹ แŠ แ‹ญแŒˆแ‰ฃแˆ แ‰ฅแˆˆแ‹‹แˆแกแก

แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแ‹Žแ‰ฝ แ‰ แ‹‹แŠ“แАแ‰ต แ‹จแ‰ฐแˆ›แˆจ แ‹จแˆฐแ‹ แŠƒแ‹ญแˆ แŠจแˆ›แˆแˆจแ‰ต แ‹ญแˆแ‰…แฃ แˆ…แŠ•แŒป แˆ›แˆแˆจแ‰ต แˆ‹แ‹ญ แ‹จแ‰ฐแˆฐแˆ›แˆฉ แ‰ฐแ‰‹แˆ›แ‰ต แŠฅแŠ•แ‹ฐแАแ‰ แˆฉ แ‹ซแˆตแ‰ณแ‹ˆแˆฑแ‰ต แˆšแŠ’แˆตแ‰ตแˆฉแค "แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแ‹Žแ‰ฝ แ‹จแˆšแ‰ณแˆˆแ‰ก แ‹จแŒฅแŒˆแ‰ต แˆ‹แˆžแ‰ฝ แŠ“แ‰ธแ‹" แ‹จแˆšแˆˆแ‹ แ‹จแŠ แŠ•แ‹ณแŠ•แ‹ต แŒแˆˆแˆฐแ‰ฆแ‰ฝ แŠ แ‰ฃแ‰ฃแˆ แŠ แˆแŠ• แˆ‹แ‹ญ แŠ แ‹ญแˆ แˆซแˆ แ‰ฅแˆˆแ‹‹แˆแกแก

แˆฆแˆตแ‰ต แŒŠแ‹œ แˆ˜แŒฅแŽ แ‹จแŠฆแ‹ฒแ‰ต แŒแŠแ‰ต แ‹ซแˆˆแ‰ แ‰ต แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแŠ• แ‹จแˆšแˆ˜แˆฉ แŠจแแ‰ฐแŠ› แŠ แˆ˜แˆซแˆฎแ‰ฝ แ‰ แˆ™แˆ‰ แŠจแŠƒแˆ‹แŠแАแ‰ณแ‰ธแ‹ แŠฅแŠ•แ‹ฒแАแˆฑ แ‹จแˆšแ‹ซแ‹ แ‹จแŒˆแŠ•แ‹˜แ‰ฅ แˆšแŠ’แˆตแ‰ดแˆญ แˆ˜แˆ˜แˆชแ‹ซ แˆ˜แŠ–แˆฉแŠ• แŒ แ‰แˆ˜แ‹‹แˆแกแก แŠƒแˆ‹แŠแ‹Žแ‰นแˆ แ‰ แˆ…แŒ แ‹จแˆšแŒ แ‹จแ‰แ‰ แ‰ต แŠ แŒแ‰ฃแ‰ฅ แˆ˜แŠ–แˆฉแŠ•แˆ แŠ แŠญแˆˆแ‹‹แˆแกแก แ‹ญแˆ…แŠ•แŠ• แŠ แˆฐแˆซแˆญ แ‰ แˆ˜แŠจแ‰ฐแˆ "แˆฆแˆตแ‰ต แŒŠแ‹œ แˆ˜แŒฅแŽ แ‹จแŠฆแ‹ฒแ‰ต แŒแŠแ‰ต แ‹ซแˆˆแ‰ แ‰ต แ‹ฉแŠ’แ‰จแˆญแˆฒแ‰ฒแŠ• แ‹จแˆšแˆ˜แˆฉ แŠ แˆ˜แˆซแˆฎแ‰ฝแŠ• แ‰ แˆ™แˆ‰ แŠฅแŠ•แ‰€แ‹ญแˆซแˆˆแŠ•" แˆฒแˆ‰ แ‰ฐแŠ“แŒแˆจแ‹‹แˆแกแก

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แŠจแ‹›แˆฌ แŒ€แˆแˆฎ แŠจแˆแ‰พแ‰ตแˆ… แ‹แŒฃ!

แŠ แˆแŠ• แŠซแˆˆแˆ…แ‰ แ‰ต แ‹จแ‰ฐแˆปแˆˆ แˆˆแ‹แŒฅ แ‹จแˆแ‰ตแˆแˆแŒ แŠจแˆ†แА แŠจแˆแ‰พแ‰ต แˆ˜แ‹แŒฃแ‰ต แŠ แˆˆแ‰ฅแˆ…! แ‹ฐแˆต แ‹จแˆšแˆแˆ…แŠ• แ‰ฅแ‰ป แŠฅแ‹ซแ‹ฐแˆจแŠญ แ‹แŒคแ‰ณแˆ› แŠ แ‰ตแˆ†แŠ•แˆ! แŠฅแ‹จแ‹ฐแ‰ แˆจแˆ…แˆ แ‰ขแˆ†แŠ• แŠซแŠ•แ‰ฐ แ‹จแˆšแŒ แ‰ แ‰€แ‹แŠ• แˆแˆŒแˆ แŠ แ‹ตแˆญแŒ!

Consistent แ‹จแˆ†แА แ‹ˆแ‹ญแˆ แˆแˆŒแˆ แ‹จแˆ›แ‹ญแˆˆแ‹‹แ‹ˆแŒฅ แŠ แ‰‹แˆ แ‹ซแˆตแˆแˆแŒแˆƒแˆแค แˆแˆŒ แˆฐแ‹“แ‰ต แˆ˜แ‹ตแ‰ แˆ… แŠ แŒฅแŠ“แฃ แˆ˜แ…แˆ€แ แŠ แŠ•แ‰ฅแ‰ฅแฃ แ‹จแˆšแŒ แ‰…แˆ แ‰ชแ‹ฒแ‹ฎ แ‰ฅแ‰ป แˆ˜แˆญแŒ แˆ… แŠฅแ‹ญแค แ‰ แŠ แŒญแˆญ แŒŠแ‹œ แˆˆแ‹แŒกแŠ• แ‰ณแ‹จแ‹‹แˆˆแˆ…!

แˆ˜แˆแŠซแˆ แ‰€แŠ• แ‰ฐแˆ˜แŠ˜แŠ•แˆ‹แ‰ฝแˆ!

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C++ final exam Top students 1.pdf
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๐Ÿ“š C++ final Exam.

๐Ÿ“š Bahirdar University.


#แˆˆแˆแŒฃแŠ• แŠฅแŠ“ แ‰ณแˆ›แŠ แˆ˜แˆจแŒƒ

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civics midexam top students.pdf
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โœ…Bahirdar Universityโ€ผ๏ธ

๐Ÿฉธ2021

๐ŸฉธCivics Midexam

#แˆˆแˆแŒฃแŠ• แŠฅแŠ“ แ‰ณแˆ›แŠ แˆ˜แˆจแŒƒ

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แŠ แŠ•แ‹ต 12แŠ› แŠญแแˆ แ‰ฐแˆแ‰ณแŠ แ‰ฐแˆ›แˆช แ‹จแŒแ‹ต แˆŠแ‹ซแ‹แ‰ƒแ‰ธแ‹ แ‹จแˆšแŒˆแ‰ก แ‹จแˆ›แ‰ตแˆต แŽแˆญแˆ™แˆ‹แ‹ˆแ‰ฝ!!!


1. Pythagorean theorem: aยฒ + bยฒ = cยฒ

2. Quadratic formula: x = (-b ยฑ โˆš(bยฒ - 4ac)) / 2a

3. Distance formula: d = โˆš((xโ‚‚ - xโ‚)ยฒ + (yโ‚‚ - yโ‚)ยฒ)

4. Slope-intercept form of a line: y = mx + b

5. Point-slope form of a line: y - yโ‚ = m(x - xโ‚)

6. Midpoint formula: ((xโ‚ + xโ‚‚)/2, (yโ‚ + yโ‚‚)/2)

7. Law of sines: a/sin A = b/sin B = c/sin C

8. Law of cosines: cยฒ = aยฒ + bยฒ - 2ab cos C

9. Sum of angles in a triangle: A + B + C = 180ยฐ

10. Area of a triangle: A = (1/2)bh

11. Volume of a sphere: V = (4/3)ฯ€rยณ

12. Volume of a cylinder: V = ฯ€rยฒh

13. Volume of a cone: V = (1/3)ฯ€rยฒh

14. Surface area of a sphere: A = 4ฯ€rยฒ

15. Surface area of a cylinder: A = 2ฯ€rยฒ + 2ฯ€rh

16. Surface area of a cone: A = ฯ€rยฒ + ฯ€rs, where s is the slant height

17. Binomial theorem: (a + b)โฟ = ฮฃ(n choose k)a^(n-k)b^k, where ฮฃ is the sum from k=0 to n, and (n choose k) is the binomial coefficient

18. Fundamental theorem of calculus: โˆซa^b f(x) dx = F(b) - F(a), where F is the antiderivative of f

19. Derivative of a constant: d/dx(c) = 0

20. Power rule for derivatives: d/dx(xโฟ) = nx^(n-1)

21. Product rule for derivatives: d/dx(fg) = f'g + fg'

22. Quotient rule for derivatives: d/dx(f/g) = (f'g - fg')/gยฒ

23. Chain rule for derivatives: d/dx(f(g(x))) = f'(g(x))g'(x)

24. Mean value theorem: if f is continuous on [a,b] and differentiable on (a,b), then there exists c in (a,b) such that f'(c) = (f(b) - f(a))/(b-a)

25. Intermediate value theorem: if f is continuous on [a,b], then for any y between f(a) and f(b), there exists c in [a,b] such that f(c) = y

26. Rolle's theorem: if f is continuous on [a,b] and differentiable on (a,b), and if f(a) = f(b), then there exists c in (a,b) such that f'(c) = 0

27. Integration by substitution: โˆซf(g(x))g'(x) dx = โˆซf(u) du, where u = g(x)

28. Integration by parts: โˆซu dv = uv - โˆซv du

29. L'Hopital's rule: if lim(x โ†’ a) f(x)/g(x) = 0/0 or โˆž/โˆž, then lim(x โ†’ a) f(x)/g(x) = lim(x โ†’ a) f'(x)/g'(x)

30. Taylor series: f(x) = ฮฃ(n=0 to โˆž) f^(n)(a)/n!(x-a)^n, where f^(n) is the nth derivative of f

31. Euler's formula: e^(ix) = cos(x) + i sin(x)

32. De Moivre's theorem: (cos x + i sin x)^n = cos(nx) + i sin(nx)

33. Fundamental trigonometric identities: sinยฒ x + cosยฒ x = 1, 1 + tanยฒ x = secยฒ x, 1 + cotยฒ x = cscยฒ x

34. Double angle formulas: sin 2x = 2sin x cos x, cos 2x = cosยฒ x - sinยฒ x, tan 2x = (2tan x)/(1 - tanยฒ x)

35. Half angle formulas: sin(x/2) = ยฑโˆš((1 - cos x)/2), cos(x/2) = ยฑโˆš((1 + cos x)/2), tan(x/2) = ยฑโˆš((1 - cos x)/(1 + cos x))

36. Sum-to-product formulas: sin A + sin B = 2sin((A+B)/2)cos((A-B)/2), cos A + cos B = 2cos((A+B)/2)cos((A-B)/2), sin A - sin B = 2cos((A+B)/2)sin((A-B)/2), cos A - cos B = -2sin((A+B)/2)sin((A-B)/2)

37. Product-to-sum formulas: cos A cos B = (1/2)(cos(A-B) + cos(A+B)), sin A sin B = (1/2)(cos(A-B) - cos(A+B)), sin A cos B = (1/2)(sin(A+B) + sin(A-B)), cos A sin B = (1/2)(sin(A+B) - sin(A-B))

38. Hyperbolic functions: sinh x = (e^x - e^-x)/2, cosh x = (e^x + e^-x)/2, tanh x = sinh x/cosh x

39. Inverse trigonometric functions: arcsin x, arccos x, arctan x

40. Logarithmic identities: log(xy) = log x + log y, log(x/y) = log x - log y, log x^n = n log x

41. Exponential identities: e^x+y = e^x e^y, (e^x)^n = e^(nx), e^0 = 1

42. Binomial coefficients: (n choose k) = n!/(k!(n-k)!)

43. Pascal's triangle: each entry is the sum of the two entries above it

44. Fermat's little theorem: if p is a prime and a is not divisible by p, then a^(p-1) โ‰ก 1 (mod p)

45. Chinese remainder theorem: if mโ‚, mโ‚‚, ..., mโ‚™ are pairwise coprime integers and aโ‚, aโ‚‚, ..., aโ‚™ are any integers, then there exists an integer x that satisfies the system of congruences x โ‰ก aโ‚ (mod mโ‚), x โ‰ก aโ‚‚ (mod mโ‚‚), ..., x โ‰ก aโ‚™ (mod mโ‚™)


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Scholastic Aptitude Test Extreme Series.pdf
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โœ…Extreme Scholastic aptitudes



#แˆˆแˆแŒฃแŠ• แŠฅแŠ“ แ‰ณแˆ›แŠ แˆ˜แˆจแŒƒ

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โœ…Geography mid Exam

๐Ÿฉธjijiga

๐Ÿฉธ2016

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โœ…Addis Ababa University Emerging Technology.

๐ŸฉธLast year Mid Exam.

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For General knowledge

#Did U Knowโ‰๏ธ

๐Ÿ’ขThe Culture Where the Brideโ€™s Aunt Must Have Sex With the Groom

In one Ugandan tribe, the brideโ€™s aunt must have sex with the groom to test his sexual prowess & his potency

๐Ÿ–Virginity is highly respected in the Banyankole tribe of South Uganda. Since, she must be a virgin, the man must also be great in bed.,The anunt is also asked to "test" to see if the bride is still a virgin,After the marriage, the aunt will even observe or listen in while the bride and groom engage in sexual activity to help the couple improve their sex life.

#Banyankole_Tribe

And in Africa there is #Banana๐Ÿบ๐Ÿป beer

๐ŸบIn eastern Africa, you can buy beer made from bananas.
It's special traditional drink more common in uganda,Rwanda,
Tanzania,Burundi

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แ‰ แ‹แАแ‰ฑ แ‹ญแˆ… แ‰ณแˆ‹แ‰… แ‹•แ‹ตแˆ แŠฅแŠ•แ‹ณแ‹ซแˆ˜แˆแŒฃแ‰ฝแˆ

แ‰ฐแˆแˆ‹แŒŠ แˆ˜แˆตแˆแˆญแ‰ถแ‰ฝ
1. แ‹จแ‹šแˆ…แŠ• แ‰ปแŠ“แˆ แˆฐแ‰ฅแˆตแŠญแˆซแ‹ญแ‰ แˆญ แŠฅแŠ•แ‹ฒแŒจแˆแˆญ แˆผแˆญ แŠฅแŠ“ แ•แˆฎแˆžแ‰ต แ‰ แˆ›แ‹ตแˆจแŒ แŠฅแ‹ซแŒˆแ‹™ แˆตแˆˆ แŠญแˆชแ•แ‰ถ แŠจแˆจแŠ•แˆฒ แŠฅแ‹ซแˆตแ‰ฐแˆ›แˆฉ แˆˆแˆญแˆถแˆ แˆชแˆแˆซแˆ แŠฅแŠ•แ‹ฐแˆแˆˆแŒ‰ แˆˆแˆ›แŒˆแŠ˜แ‰ต แ‹จแˆšแˆแˆแŒ /แ‹จแˆแ‰ตแˆแˆแŒ.....2 แˆฐแ‹

2. แ‰ แˆ›แŠ•แŠ›แ‹แˆ แ‹“แˆ˜แ‰ต แ‹ญแˆแŠ• แ‰ฅแ‰ป แ‹จแŒแ‰ข แŠ แŠ•แ‹ณแŠ•แ‹ต แАแŒˆแˆฎแ‰ฝแŠ• แŠฅแ‹ซแˆตแŒˆแАแ‹˜แ‰ก แ‹จแˆซแˆณแ‰ธแ‹แŠ• แ‰ปแŠ“แˆ แŠญแˆฌแ‰ต แˆ›แ‹ตแˆจแŒ แ‹จแˆแ‰ตแˆแˆแŒ‰.... 2 แˆฐแ‹.. แ‹จแŠ›แŠ• แ‰ปแŠ“แˆแˆ แˆˆแˆ›แˆตแ‰ฐแ‹‹แ‹ˆแ‰… แŠ แŠญแ‰ฒแ‰ญ แ‹จแˆ†แА/แ‰ฝ

แ‹ญแˆ… แ‰ณแˆ‹แ‰… แ‹•แ‹ตแˆ แŠฅแŠ•แ‹ณแ‹ซแˆ˜แˆแŒฃแ‰ฝแˆ
แ‹จแˆแ‰ตแˆแˆแŒ‰ แˆแŒ†แ‰ฝ แ‰ แ‹šแˆ… แ‹ซแŠ“แŒแˆฉแŠ•
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#แˆˆแˆแŒฃแŠ• แŠฅแŠ“ แ‰ณแˆ›แŠ แˆ˜แˆจแŒƒ

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