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1. S_n = a(a+d)+(a+d)(a+2d)+......+{a+(n−1)d}{a+(n)d} 2. S_n = a(a+d)(a+2d)+(a+d)(a+2d)(a+3d)+......+{a+(n−1)d}{a+(n)d}{a+(n+1)d} |
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determine whether this signal is periodic or not if it′s periodic specify it′s faundemwntal period y(n)=cos((n/8))cos(((nπ)/8)) |
[2^(8÷2−1) +4÷{2+2^(4÷(1+1)) ÷(6÷3−1)}]÷[6÷{(3^(4÷2) +5÷5)÷2−6÷(5−2)}] |
if f(−1)=f(0)=f(2)=0 and f(1)=6 then find f(x)=? |
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Let A={x∣x^2 −4x+3<0,x∈R},B={x∣2^(1−x) +a≤0,x^2 −2(a+7)x+5≤0,x∈R} If A⊆B Find the range of real number a |
place(1→25) in table(5×5)in such away that the sum is constant in all directions. [ ∣×_− ^− ∣ ]→(direction) |
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Series Σ (((−1)^(h−1) )/p_h ) is Converge?? h∈Z^+ , p_h ∈P^+ P^+ = 2 , 3 , 5 , 7 , 11 , 13 , .... |
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determinant (((H^(A^(P^(P^(Y^(N^E W) Y) E) A) R) !_(24^(0^2 ) ) ))) |
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determinant (((2^2 +4^2 +6^2 +∙∙∙∙∙+22^2 =2024_(HAPPY NEW YEAR!) ))) determinant ((( May 2024 be { ((war-free!)),(&),((peaceful!)) :} ))) |
abcd ^(−) is a four digit number such that a^2 +b^2 +c^2 +d^2 = cd ^(−) and cd ^(−) − d ^(−) = ab ^(−) . Find the number. |
∫_0 ^1 ((ln(x)ln(1−x))/( x(√(1−x))))dx |
determinant ((( Square of mean of two numbers_(is 2025) ))) & determinant ((( mean of squares of the numbers_( is 2026) ))) determinant (((Find the product of the numbers.))) |
pk=b pq+sk=c sq=d (√t)=((t−q)/k)=((t−s)/p) Given are b, c, d. Find t. |
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determine le reste de la division eucludienne de 2023^(2019) par 13 |
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Pg 133 Pg 134 Pg 135 Pg 136 Pg 137 Pg 138 Pg 139 Pg 140 Pg 141 Pg 142 |