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verify stoke theorem for f=y^2 j+x^3 j where “s” is the sircular disc x^2 +y^2 ≤1,z=0 |
how to know sum of digits : 3^(313) + 3^(354) ? |
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y=log_2 (log_2 ^x )then (dy/dx)= |
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Solve for n: 4^n + 2^n − 6 = (2^n − 4)^3 + (4^n − 2)^3 .... |
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calculate ∫_0 ^∞ e^(−t) ln(1+2t^2 )dt |
let u_n =∫_(−∞) ^∞ e^(−nx^2 +x) dx 1)calculate u_n 2)find Σ_n u_n |
calculate ∫_0 ^1 (((x^2 −1)ln(x))/((x^2 +2x−1)(x^2 −2x−1)))dx |
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calculate ∫_0 ^(π/2) ln(cosx+sinx)ex |
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Avery large field of charge has density of 5μC/m^2 . Determine the electric field intensity at a distance of 25cm.Taking medium as vacuum |
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A charge of 1500μC is distributed over a very large sheet having surface area of 300m^2 . calculate the electric field intensity at a distance of 25cm. please help |
prove that union of two subgroups of a group is a subgroup iff one is contained in other |
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(a−b)^2 |
let v_n (a)= ∫_(1/n) ^n (1−(a/x^2 ))arctan(1+(a/x))dx with a>0 1) determine a explicit form of v_n (a) 2) study the convergence of Σ_n v_n (a) 3)calculate v_n (1) and Σ_n v_n (1) . |
1)calculate u_n =∫_0 ^∞ ((sin(nx))/(sh(2x)))dx with n integr natural 2) calculate Σ_(n=0) ^∞ u_n . |
1)calculate u_n = ∫_0 ^∞ e^(−nx) ln(1+x)dx with n integr natural 2) calculate lim_(n→+∞) u_n 3) find Σ_(n=0) ^∞ u_n |
find ∫ (√(((√x)−1)/((√x)+1)))dx |
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