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Find the derivative of x^(sin2x) from the first priniple. |
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is there a proof of a relationship between ϕ,π,e where π=3.14,ϕ=1.618 and e=2.718 such that ε is some oporator,ε=−+×÷ ϕεπεe=0 or πεeεϕ=0 or eεϕεπ=0 |
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Find the first digit after the decimal point of the number (1/(1009))+(1/(1010))+...+(1/(2016)) |
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if 2x+1=(√(111)), 2x^5 +2x^4 −53x^3 −57x+54=...? |
let2x+1=t x=(t−1)/2 dx=dt/2 ∫(t−1)(√t)/2dt/2 1/4∫(t(√t)−(√t))dt continue.....it.. |
∫(√(tan x ))dx=?+k |
tanΠ/16=(√(4+2(√2) )) − ((√2) +1) |
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now wright the of A.P and G.P wiyh example |
∫x(√(2x + 1)) dx |
x + y + z = 1 ......... (i) x^2 + y^2 + z^2 = 37 ........ (ii) x^3 + y^2 + z^3 = 91 ........ (iii) Solve simultaneously. |
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∫(x^2 /(√(x^3 + 5))) dx |
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(a_n )_(n∈N) such that a_1 =(1/2) and a_(n+1) =(a_n ^2 /(a_n ^2 −a_n +1)) Prove that a_1 +a_2 +a_3 +...+a_n < 1 need helper |
x^2 −x^2 =x^2 −x^2 (x−x)(x+x)=x(x−x) x−x=x 2x=x 2=1 |
Given a,b,c ∈N ; prove that ((1+a)/(1+2a)) + ((1+b)/(1+2b)) + ((1+c)/(1+2c)) ≤ 2 |
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Show that: Σ_(n=1) ^∞ (n/((n+2)!))=3−e |
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If f(x) = x + ax^2 + bx^3 + ... .obtain (√(f(x^3 ))) up to x^3 |
Pg 1945 Pg 1946 Pg 1947 Pg 1948 Pg 1949 Pg 1950 Pg 1951 Pg 1952 Pg 1953 Pg 1954 |