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Find the last two digit of 20^(17) + 17^(20) |
lim_(x→∝) ((cot^(−1) (x^(−a) ln _a x))/(sec^(−1) (a^x ln _x a))) (a>1) |
lim_(x→∝) (((2^x^n )^(1/e^x ) −(3^x^n )^(1/e^x ) )/x^n ) where nεN |
suppose that n is the number of balls in a basket.If pronability of pulling A and B together is 0.05 what is the value of n? |
solve ∫tan^(−1) x ln (1+x^2 )dx |
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What is the answer for P(z=0.23)? |
∫sin(101x)sin^(99) xdx |
∫_1 ^2 x^3 +1=? |
A function f is define by f : → 3 − 2sinx, for 0 ≤ x ≤ 360 find the range of f |
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(1+i)(2+i) |
Why ΔS > 0 for the reaction 2HgO(s) → 2Hg(l) + O_2 (g)? |
A certain ideal gas has C_(v, m) = a + bT, where a = 25 J/(mol. K) and b = 0.03 J(mol.K^2 ). Let 2 mole of this gas go from 300 K and 2 litre volume to 600 K and 4 litre. ΔS_(gas) is |
Two blocks A and B of mass 1 kg and 2 kg respectively are connected by a string, passing over a light frictionless pulley. Both the blocks are resting on a horizontal floor and the pulley is held such that string remains just taut. At time t = 0, a force F = 20t N, starts acting on the pulley along vertically upward direction. Calculate vertical displacement of the pulley upto the instant when B loses contact with the floor. |
A spot light S rotates in a horizontal plane with a constant angular velocity of 0.1 rad/s. The spot of light P moves along the wall at a distance 3 m. What is the velocity of the spot P when θ = 45°? |
If (1 − x^3 )^n = Σ_(r=0) ^n a_r x^r (1 − x)^(3n−2r) , then the value of a_r , where n ∈ N is (1)^n C_r ∙3^r (2)^n C_(3r) (3)^n C_(r−1) 2^(r−1) (4)^n C_r 2^r |
Calculate the lattice enthalpy of MgBr_2 . Given that Enthalpy of formation of MgBr_2 = −524 kJ mol^(−1) Sublimation energy of Mg = +2187 kJ mol^(−1) Vaporisation energy of Br_2 (l) = +31 kJ mol^(−1) Dissociation energy of Br_2 (g) = +193 kJ mol^(−1) Electron gain enthalpy of Br = −331 kJ mol^(−1) |
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Solve for x, y and z x^2 − yz = 1 .......... (i) y^2 − xz = 4 .......... (i) z^2 − xy = 9 .......... (i) |
A function f is defined by f : x → 3 − 2sin(x), for 0 ≤ x ≤ 360° find the range of f |
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5(tan^2 x−cos^2 x)=2cosx+a then find then find the value of cos4x.??? |
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Pg 1801 Pg 1802 Pg 1803 Pg 1804 Pg 1805 Pg 1806 Pg 1807 Pg 1808 Pg 1809 Pg 1810 |