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AlgebraQuestion and Answers: Page 27 |
Find: i^4 + i^8 + i^(12) + i^(16) + i^(20) + i^(24) +...+ i^(100) = ? |
Find: ln (((2 tg 22,30°)/(1 − tg^2 22,30°))) = ? |
If the system { ((y=−mx^2 −2)),((4x^2 +y^2 = 4)) :} have only one solution them m = (A) (1/3) (B)(1/( (√2))) (C) 1 (D) (√2) (E) (√3) |
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Find: 1 + (1/(1+2)) + (1/(1+2+3)) +...+ (1/(1+2+3+...+40)) |
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Simplify: (((b)^(1/4) (√c) − (c)^(1/4) (√b))/( (b)^(1/4) (√c) − (c)^(1/4) )) = ? |
find the value of y given that y^(y ) =3^(y+9) |
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∣x−3∣ + ∣x +2∣ = 9 find: x = ? |
lg^2 (10x) − lg 10x + 1 = 6 − lg x find: x = ? |
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(4/(2x−1)) + ((27)/(3x−1)) + ((125)/(5x−1)) = ((144)/(4x−1)) Find: x = ? |
If p+q+r = 0 and A=(((p^2 +q^2 +r^2 )^2 )/((pq)^2 +(qr)^2 +(rp)^2 )) B= ((q^2 −pr)/(p^2 +q^2 +r^2 )) . Find A^2 −4B |
Given x_1 +x_3 +...+x_(2023) = 25−(x_2 +x_4 +...+x_(2022) ) x_1 ^(2 ) + x_3 ^2 +...+x_(2023) ^2 = 125−(x_2 ^2 +x_4 ^2 +...+x_(2022) ^2 ) −2≤x_i ≤1 , i=1,2,3,...,2023 x_i integer number Find minimum value of x_1 ^3 +x_2 ^3 +x_3 ^3 +x_4 ^3 +...+x_(2023) ^3 □−100 □−71 □−50 □−16 |
P=1+(1/3)+(1/5)+(1/7)+...+(1/(2023)) Q= (1/(1×2023))+(1/(3×2021))+(1/(5×2019))+...+(1/(2023×1)) (P/Q)=? |
Find: 4 cos^2 40 − (1/(cos 20)) = ? |
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{ ((u_(n+1) =((au_n +b)/(cu_n +d)))),((u_0 =k)) :} find u_n in terms of n. |
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x^( lg x) < 10^4 The number of roots? |
(√2) sinx + cosx ≥ 1 |
z + ∣z∣ = 1 + (√3) i find: 𝛟 = ? |