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*Image* ...
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The figure shows one end of a string pulled down by a constant velocitty V.Assuming the pulleys to be massless and smooth,prove that the tension in string AB is mg(1+b2v2/4gx3) *Image* ...
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Part 1: On a circle which circumscribes a n-sided polygon A1,A2,A3,.... An, a point M is taken. Prove that the sum of the squares of the distances from this point to all the vertices of the polygos is a number(independent of ...
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How many six digit numbers can be formed from 0,1,2,....8,9 such that,every number contains exactly 3 distinct digits ...
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Evaluate the following limit: \lim_{x\to+\infty}\left(\sqrt[n]{(x+2)(x+4)\cdots(x+2n)}-\sqrt[2n]{(x+1)(x+2)\cdots(x+2n)}\right) where n is a positive integer. ...
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*Image* 1.1.4 and 5 ...
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The following is a system of quadratic equation with a,b,c being real and a≠0..... ax12+bx1+c=x2 ax22+bx2+c=x3 ax32+bx3+c=x4 ax42+bx4+c=x5 . . . . . . . . axn-12+bxn-1+c=xn axn2+bxn+c=x1 Answer the following questions.... Q ...
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Q1. \int (cos2\theta )^3^/^2cos\theta d\theta Q2. \int \frac{cos8x-cos7x}{1+2cos5x}dx ...
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Suppose the complex number z satisfies the equation 11z^{10}+10iz^9+10iz-11=0 Prove that |z|=1 . ...