Recent content by numberthree

I don't even know how to start.

Homework Statement let d(n) be the number of positive devisors of integer n, prove that d(n)\leq2\sqrt{}n Homework Equations The Attempt at a Solution

Homework Statement Prove that if one of the numbers 2n-1 and 2n+1 is prime, n>2, then the other number is not Homework Equations The Attempt at a Solution

Homework Statement Solve the following problems using Lagrange multipliers (a) Minimise J (x; y) = x^2 + y^2 subject to C (x; y) = 4x^2 + 3y^2 = 12: Homework Equations The Attempt at a Solution i got h(x,y)=x^2+y^2+\lambda(4x^2+3y^2-12) dh/dx=2x+8x\lambda=0 dh/dy=2y+6y\lambda=0 then i got...

yes, i know wat u mean, but i don't know how to separate log(z-i) into u + iv form

how to show a function is analytic?? I know that to show a function is analytic I need to prove its differentiable, but for a fuction like log(z-i), how could i show it is analytic?

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