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when we use limit x tending to something (eg. 0) of f(x) where f(x) is some greatest integer function then how do u solve this type of questions ( when i did few questions of this type it seemed easy but there were 2 question ...
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5/1.2.3 +7/3.4.5 +9/5.6.7 .......... is equal to: a) log 8/e b)log e/8 c) log mn d) none of these ...
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∫(x-a)(x-b)(x-c).........(x-z)dx is equal to 1. constant 2.5c+5d+x 3.0 4.none of these ...
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prove that \int_{0}^{\pi }{}(x^{2}cos x)/(1+sin x)^{2} = (2- \pi )\pi ...
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Two pitch balls are charged by rubbing against each other. They are suspended from a horizontal rod through two strings of length 20cm each, the separation b/w the suspension point being 5cm. In equilibrium, the separation b/ ...
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if Z=cosA+isinA & A=2° find *Image* ...
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Lim (1/x2-cot2x) x→0 ...
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∫sinx/sin4x ...
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1. suppose the potential difference b/w the plates of a capacitor is increased by 20% , the energy stored in capacitor increases exactly by ----------- 2.if the potential difference b/w the plates of a capacitor is increased ...
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An isolated conducting sphere of radius R=6.85cm is given a charge of 1.25nC. What is is the radius R0 of an imaginary spherical surface such that half of the stored potential energy lies within it ? ...
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∫{ (x-3) {sin-1(lnx)+cos-1(lnx)}dx ...
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∫(x3m+x2m+xm)(2x2m+3xm+6)1/mdx note: do without using integration by parts ...
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hi! i am new to this topic , so pls help ∫(x2tan-1x3)dx/(1 + x6) note: do without using integration by parts ...
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this is really a simple one...... just wanted to check my answer. So pls co-operate [1] Using transformations or otherwise , find correct four places of decimals the value \prod_{1}^{5}{} (zi+1)/(2zi-1) where Zi are the roots ...
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Calculate the molar chloride concentration in a solution prepared by dissolving 1.12 L of hydrogen chloride in 2.5L of water at 298 k. Solute exist as a strong electrolyte & dissociates completely into ions. ...
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What will be the electrostatics force between two steel spheres each weighing 1 kg and separated by 1 m if each one of them has one percent more electron than protons. ...
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hi!!!!! everyone.............. pls post ur suggestions , tips...... anything & everything which is helpful to ur juniors. I hope every one will contribute ........ & help others not to repeat the same mistake which they commi ...
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A barometer tube of negligible mass is suspended from a spring balance as shown. The mass of mercury in the tube is m and atmospheric pressure is p0 . The cross section area of tube is A. What is the reading of spring balance ...
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*Image* Find the velocity of fluid which flows through the small hole.( find velocity v , with respect to l & h). Given that whole pipe moves along the given axis & length of pipe is l (part of it containing fluid is h). ...
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if 1/x3(x+2) = A/x+B/x2+C/x3+D/(x+2) then value of |1/A 1/B | |1/D 1/C | ...
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Can anyone pls explain partial fraction........... and give an example ...
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let S1,S2.... be squares such that for each n>or=1, the length of a side of Sn equals the length of a diagonal of Sn+1 . If the length of a side of S1 is 10cm , then for which of the following values of n is the area of sn ...
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A carom board (4ftX4ft)has the queen at the centre. The queen. hit by the striker moves to the front edge, rebounds and goes in the hole behind the striking line. Find the magnitude of displacement of queen (a)from the centre ...
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A body of mass m is pushed with an initial velocity v up an inclined plane of inclination θ.The co eff. of kinetic friction is μ. Find the work done by friction during the upward motion of the body. ...
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Block A is of mass 30kg & block B is of mass 5kg. if μ kinetic friction between the inclined & block A is 0.2, determine the speed of block A after it moves 1m down the plane, starting from rest. *Image* ...
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A block of mass 50kg is released from the position of rest at which the spring is under a tension of 45N. Find the velocity of the block at a position when its displacement is 150mm. *Image* ...
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Evaluate lim [x 2 / sin2x. cos x ] , where [ ]denotes the greatest integer functin x→0 ...
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Can any one pls explain me A.G.P formula.............. does it have just one formula? ...
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*Image* Find the time period of oscillation of the pulley in the system shown. The moment of inertia of the pulley about its axis is I & the string does not slip over the pulley. The string & the springs are light. Pls give t ...
