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1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even. 2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2. 3.let r>0 and S={x in R^3:(x1)^2+(x2)^2+(x3)^2<(r)^2} show that diam S=2r.4.let x=(x1,...xn) in Rn.show that (? k=1,n xk)^2<=n|x|^2.
to difine trigonometric ratios of an angle,is it necessary that the initial ray of the angle must be positive x-axis?
15(4*4*4*4*+5*5*5)+(13*13*13+3*3*3)
The number of integral pairs (x,y) satisfying the equation x^2=y^2+1294 is a)2 b)3 c)4 d)None of these
the conclusion about stepping stone method in real life situation?
can anyone explain me the concept of quadratic equation?
Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients. Assume that we have the two functions f ( x ) = x 3 and g ( x ) = x 6 .
degree of a diffrential equation
Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) question..
Linear functions are of the form: y = a 0 + a 1 x 1 + a 2 x 2 + ..... + a n x n where a 0 , a 1 , a 2 ..... a n are constants and x 1 , x 2 ..... x n a
2x40 420x4 7x240 84x20 Explain how three expressions are equivalent.
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