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A sheet of uniform charge density σ n dimensions a x a . find the electric field n potential on an axis passing through the midpoint of the sheet and perpendicular to the sheet as a function of distance h from the midpoint ...
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*Image* ...
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prove by combinatorial arg.tht 2nCn is div by n+1 ...
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(n!)! is divisible by A--28(2n-1)n-1 B--(3n)! C--(n!)n! D--(n!)(n-1)! ...
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If m is a prime number,and a,b ,two numbers less than m prove that am-2+am-3b+am-4b2+...bm-2 is a multiple of m ...
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1. if a and b are integers and x2 + ax + b =0 has discriminant as a perfect square then prove that its roots are integers. SOLUTION IS : roots are { - a± √ ( a2 -4b)} / 2 if a2 -4b = 4m , then a will be even and roots will ...
