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    Bernoulli trials with uniform successes probability

    Hello! This seems really simple but I can still not quite figure it out and would love your assistance. I have to determine the expected value and variance of the number of successes of n independent Bernoulli trials with a common success probability u, conditioned on u=U where U~Unif(0,1)...
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    3 eqns w/ 3 unknowns: 4y2-2x = 2*lambda*x, 8*xy = 2*lambda*y, x2+y2=1

    Hi everyone! I've been stuck on this one for some hours now (about 5 hours to be honest) and I just can't solve it. It is actually a "find min. and max. points"-question but I've come so far that I just have to solve for the Lagrange multiplier and the three equations that I have are: 4y2-2x =...
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    One-sided limit

    Hi, geniuses! I need your expertise once again now that I've encountered a problem that I can't really figure out and Google wasn't doing much to help. I have to figure out what the limit of 1/x-cos(x)/sin(x) when x approaches pi-. I know that the answer is infinity but when i try to...
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    Complex equation: solve z^2 - 2*i*z - (1+i) = 0 in a+bi form

    Hi everyone, I have this as homework for Wednesday but I can't really seem to get how to solve it. I've tried different method but I got some odd results. The equation is: z^2-2*i*z-(1+i)=0 The result should be in the form of a+ib I tried solving it like a normal quadratic equation and got i+-...
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    Need help with last bit of my equation: f(x)=8*sin(x)+4cos(x)*sin(x) 0<x<2*pi

    Hi, so I'm doing a project and I've figured most of it out Very short: I have to prove that theres an maximum point for this function: f(x)=8*sin(x)+4cos(x)*sin(x) 0<x<2*pi I've derived it and set it equal to zero but now I've come down to the last part. I have to solve this...
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