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AlgebraQuestion and Answers: Page 25
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Question and Answers Forum |
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AlgebraQuestion and Answers: Page 25 |
| sum: (1/(1.4.7)) + (1/(4.7.10)) + (1/(7.10.13)) + (1/(10.13.16)) + (1/(13.16.19)) + ... + (1/(94.97.100)) |
| Find: arccos (arctg (5/(12)) + arcsin (4/5)) = ? |
| cos^2 2x = sin^2 2x + ((√3)/2) x = ? |
| 25 tan x = 3 x = ? |
| Find: ∫_0 ^( 5) (√((1/2) (x^2 − 2x + 1))) dx = ? |
| (tan^2 x − 3) ∙ sinx = 0 Find: x = ? |
| y = ∣x − 2∣ + ∣x + 4∣ Find: min(y) and max(y) |
| solve for x, 3^x −2^x =65 |
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| If a^x = b^y (a/x) + (b/y) = 1 then, a^x + b^y = ? |
| Evaluate and leave your answer in exponent form. 5^(2024) − 5^(2023) − 5^(2022) − 5^(2021) − 5^(2020) − 5^(2019) = ? |
| An aeroplane flies 25 km in the direction 60° North of East 35 km Straight East, then 15 km straight North. What direction is the pane from the straight point? |
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| Find: ((61^3 + 24^3 )/(61^3 + 37^3 )) = ? |
| Compare it: a = log_3 4 b = log_5 6 c = log_6 2 |
| If f(x) = (((2a + 1)∙x + 1)/(x − a)) and f(x) = f^(−1) (x) Find: a^2 + 3 = ? |
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| Find: ∫_0 ^( 2) ∣1 − x∣ dx = ? |
| g(x) = lnx^2 f(x) = ((x + 25))^(1/3) Find: lim_(x→e) (f(g(x)) = ? |
| sin x − sin (π/6) > 0 x = ? |
| if (fof)(x)=f(x)+x and f(1)=1 find fofofofofofofofofof(1) |
| P(x) is polynomial P(x) = ((x^4 + 2ax^3 − bx − 5)/((x + 1)^2 )) Find: b = ? |
| a,b,c∈N x = 4(2a+5) = 6(b+9) = 9(c−1) find: min(x+a+b+c) = ? |
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| let T be a n×n matrix with integral entries and Q = T + (1/2)I where I denote the n×n identity matrix then prove that matrix Q is invertible |