Remedial 2016
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Remedial 5 ወር ሙሉ
ከ እናንተ ጋር ቆይተናል የ አገኘነውን ማንኛውም ነገር ስንልክላቹ ነበር እነደ sheet ,exam,module ,pdf, education video,
ከምንም በላይ ደግሞ remedial ቀን አለ ከተባለ ጀምሮ በተለየቹ የ
#info time ያላነሳነው ያላደረስነው መረጃ አለ ብዬ አላስብም
በስተመጨረሻም ከነገ ጀምሮ ሁላቹም remedial exam መውሰድ ትጀምራላቹ....... እኛም የ remedial program አችን በዚሁ ያበቃል ስለ ነበረን ቆይታ comment ላይ ስለ , channel ያላቹን አስተያየት አድርሱን
እና በ freshman እንመለስ ወይስ በዚው ይቁም ሀሳባቹ ከ exam ብኅላ ይደረሳል
መልካምምምም
ፈተናናናናና
Good luck
Boom.remedial 2016/2024
እስቲ መዝጊያውን በ reaction አጥለቅልቁት
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Remedial 2016
This channel is created for remedial and fresh man course takers students
👍 2
አንድ የMaths ተማሪ የግድ ሊያውቃቸው የሚገቡ የማትስ ፎርሙላወች!!!
1. Pythagorean theorem: a² + b² = c²
2. Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
3. Distance formula: d = √((x₂ - x₁)² + (y₂ - y₁)²)
4. Slope-intercept form of a line: y = mx + b
5. Point-slope form of a line: y - y₁ = m(x - x₁)
6. Midpoint formula: ((x₁ + x₂)/2, (y₁ + y₂)/2)
7. Law of sines: a/sin A = b/sin B = c/sin C
8. Law of cosines: c² = a² + b² - 2ab cos C
9. Sum of angles in a triangle: A + B + C = 180°
10. Area of a triangle: A = (1/2)bh
11. Volume of a sphere: V = (4/3)πr³
12. Volume of a cylinder: V = πr²h
13. Volume of a cone: V = (1/3)πr²h
14. Surface area of a sphere: A = 4πr²
15. Surface area of a cylinder: A = 2πr² + 2πrh
16. Surface area of a cone: A = πr² + πrs, where s is the slant height
17. Binomial theorem: (a + b)ⁿ = Σ(n choose k)a^(n-k)b^k, where Σ is the sum from k=0 to n, and (n choose k) is the binomial coefficient
18. Fundamental theorem of calculus: ∫a^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(xⁿ) = 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')/g²
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: ∫f(g(x))g'(x) dx = ∫f(u) du, where u = g(x)
28. Integration by parts: ∫u dv = uv - ∫v du
29. L'Hopital's rule: if lim(x → a) f(x)/g(x) = 0/0 or ∞/∞, then lim(x → a) f(x)/g(x) = lim(x → a) f'(x)/g'(x)
30. Taylor series: f(x) = Σ(n=0 to ∞) 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: sin² x + cos² x = 1, 1 + tan² x = sec² x, 1 + cot² x = csc² x
34. Double angle formulas: sin 2x = 2sin x cos x, cos 2x = cos² x - sin² x, tan 2x = (2tan x)/(1 - tan² x)
35. Half angle formulas: sin(x/2) = ±√((1 - cos x)/2), cos(x/2) = ±√((1 + cos x)/2), tan(x/2) = ±√((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) ≡ 1 (mod p)
45. Chinese remainder theorem: if m₁, m₂, ..., mₙ are pairwise coprime integers and a₁, a₂, ..., aₙ are any integers, then there exists an integer x that satisfies the system of congruences x ≡ a₁ (mod m₁), x ≡ a₂ (mod m₂), ..., x ≡ aₙ (mod mₙ)
Repost from Chemistry Physics Biology
The heaviest atom among the following isAnonymous voting
- U
- Ra
- Pb
- Hg
Repost from Chemistry Physics Biology
Which of the following element is a lanthanide (rare-earth element)Anonymous voting
- Cadmium
- Californium
- Cerium
- Cesium
Repost from Chemistry Physics Biology
The correct statement(s) regarding thallium is/are :Anonymous voting
- Thallium displays both +1, and +3 oxidation states.
- It resembles group 1 metals in some reactions.
- Thallium only shows a +1 oxidation state
- Both (1) and (2)
Repost from Chemistry Physics Biology
The order of decreasing reactivity towards an electrophilic reagent for the following would be
i. Benzene
ii. Toluene iii. Chlorobenzene iv. PhenolAnonymous voting
- ii > iv > i > iii
- iv > iii > ii > i
- iv > ii > i > iii
- i > ii > iii > iv
Repost from Chemistry Physics Biology
Mendeleef's periodic law is based onAnonymous voting
- Atomic weight
- Atomic number
- Number of neutrons
- None of the above
Repost from Chemistry Physics Biology
Number of moles of MnO4- required to oxidise one mole of ferrous oxalate completely in acidic medium will beAnonymous voting
- 0.6 mole
- 0.4 mole
- 7.5 mole
- 0.2 mole
Repost from Chemistry Physics Biology
Al is diagonally related to (in periodic table)Anonymous voting
- Li
- C
- B
- Be
Repost from Chemistry Physics Biology
N⁻³ and Na⁺ have sameAnonymous voting
- No. of electrons
- Atomic no.
- Mass No.
- No. of neutrons
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