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li_(n→∼) m Σ_(k=1) ^n ((8n^2 )/(n^4 +1)) =....? |
A= [(1,(−1)),((−4),(−2)) ] A^(2016) =.....? |
u= [(1,(−1),2) ] A= [(3,2),(1,3),(0,1) ] v= [(2,(−1)) ] uAv^t =....? |
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∃e_i :i∈N e_i is a basis vector A∈C^n A=Σ_(i∈N) e_i A_i = ((A_1 ),(A_2 ),(⋮),(A_n ) ) = ∣A⟩ ⟨B∣=(∣B^∗ ⟩)^T ∣A⟩⟨B∣=??? |
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P(x+1)×P(x−1)=4x^2 +8x+a−5 a=? |
(x^3 +6)×P(x)+6x=ax^3 +2ax+b+3 ⇒b=? |
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Euler vs. Newton |
if tan(xy)=x then (dy/dx)= |
If x^3 = y^3 Is it always true that x = y ? |
prove that (9/4) < (log _2 3)^2 < ((25)/9) . |
Prove that 3>(log_2 3)^2 >2. |
Γ(2407) = (2406)! = ∫_0 ^∞ e^(−x) x^(2406) dx How evaluate ∫e^(−x) x^(2406) dx ??? |
find the image of the point(5,2) under a rotation of 90° clockwise |
If • f(2x + 1) + g(3 − x) = x • f(((3x + 5)/( x + 1))) + 2g(((2x + 1)/(x + 1))) = (x/(x + 1)) for every x ∈ R, x ≠ −1 Find f(x) !! |
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x^x^x^⋰^2 = 2 What is the value of x ? |
∣∣x∣+2x∣≤3, interval x=...? A.−3≤x≤3 B. x≥0 C. x≤0 D. −1≤x≤1 E. x≤2 |
y = ((x − 2)/(2(x − 1)^(3/2) )) Let p = x − 1 ⇒ y = ((p − 1)/(2p^(3/2) )) Is it true that (dy/dx) = (dy/dp) ? |
If ((cos θ)/(1 − sin θ)) = a a ≠ (π/2) + 2kπ So, tan (θ/2) = ... (A) (a/(a + 1)) (D) ((a + 1)/(a − 1)) (B) (1/(a + 1)) (E) (a/(a − 1)) (C) ((a − 1)/(a + 1)) |
If cos^(−1) (x/a)+cos^(−1) (y/b)=α prove (x^2 /a^2 )−((2xy)/(ab))cos α+(y^2 /b^2 )=sin^2 α |
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