Question and Answers Forum
AlgebraQuestion and Answers: Page 52
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Question and Answers Forum |
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AlgebraQuestion and Answers: Page 52 |
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| determiner le total de nombres de 5 chiffres comprises entre 10000 et 50000 divisibles simultanement par 5 et 9 (sans utiliser les formules d arrangement et de combinaison) |
| Σ_(n=1 ) ^∞ (n/(n^4 +n^2 +1)) − Σ_(n=1) ^∞ (n^2 /(n^8 +n^4 +1)) = ? |
| Show that Σ_(n=1) ^∞ (((n!)^2 )/((2n)!)) =(1/3)+((2π(√3))/(27)) |
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| Solve the equation: x^4 − x^3 − 4x^2 + 3x + 2 = 0 |
| find the sum of infinite series (1/2^1 )∙(1/3^2 ) + (1/2^2 )∙(1/3^4 )(1^2 +2^2 +3^2 ) + (1/2^3 )∙(1/3^6 )(1^2 +2^2 +3^2 +...+7^2 )+ (1/2^4 )∙(1/3^8 )(1^2 +2^2 +3^2 +...+15^2 )+........ |
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| ((2^(17) +2^(16) +2^(15) +…+1)/(2^8 +2^7 +2^6 +…+1)) = ? |
| Exercice 2 |
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| if x = log tan((π/4)+(y/2)), prove that y = −ilog tan(((ix)/2) + (π/4)) here i = (√(−1)) |
| ((x−2+3((x−3))^(1/3) (1+((x−3))^(1/3) )))^(1/3) + ((x+5+6((x−3))^(1/3) (1+2((x−3))^(1/3) )))^(1/3) = 5 |
| x^a =x^(a+4) where a∈Z solve for x by showing steps |
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| x,y∈N 162 ∙ x^2 = y^3 min(x+y)=? |
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| ((x+3)/(2022)) + ((x+2)/(2023)) + ((x+1)/(2024)) + (x/(2025)) = −4 |
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| f(x)−(x^2 /2)f′′(x)=0 f(x)=? |
| find the sum (1/(x+1))+(2/(x^2 +1))+(4/(x^4 +1))+.........+(2^n /(x^2^n +1)) = ?? |
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| f(x)=((2x+6)/2)+6−x g(x)=(√(x^(99) +x^(98) +x^(97) +.....+x)) f(g(1))+f(g(2))+.........+f(g(100))=? |
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