Recent content by star321

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    Minimize the sum of the squares

    leave answer with variables? Hi So this problem is for first year university calculus. I got confused about the derivative... i do know how to do derivates... too much calculus in one day i guess. So from the steps shown, I followed them and they seem pretty clear. So do I not...
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    Minimize the sum of the squares

    Hello i need help with a question, other people tried to help me, i just cannot get it! its driving me crazy Two positive numbers have sum n. What is the smallest value possible for the sum of their squares? so i have n=x+y x>0 y>0 y=n-x we want to minimize S S=x^2+y^2...
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    Simplifying Logarithms: Solving logpie(1-cosx)+logpie(1+cosx)-2logpie sinx

    OK So laws of logarithms: 1) log[SIZE="1"]a1=0 2)log[SIZE="1"]a(xy)=log[SIZE="1"]ax+log[SIZE="1"]ay 3) log[SIZE="1"]a (1/x)=-log[SIZE="1"]ax 4) log[SIZE="1"]a(x/y)=log[SIZE="1"]ax-log[SIZE="1"]ay 5)log[SIZE="1"]a(x^y)=ylog[SIZE="1"]ax 6)log[SIZE="1"]ax=log[SIZE="1"]bx/log[SIZE="1"]ba...
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    Simplifying Logarithms: Solving logpie(1-cosx)+logpie(1+cosx)-2logpie sinx

    my question is simplify: log[SIZE="1"]pie(1-cosx)+log[SIZE="1"]pie(1+cosx)-2log[SIZE="1"]pie sinx (i don't know how to make the pie symbol) i thought it was going to be log[SIZE="1"]pie-log[SIZE="1"]piecosx+log[SIZE="1"]pie+log[SIZE="1"]piecosx-2log[SIZE="1"]piesinx =...
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    How to Solve the Equation 2^x^2-3=4^x?

    still a bit confused it was the first one, the one you were working out. since your multiplying ln2 by (x^2-3) wouldn't it be 3 ln2? So from ln(2)x2 - ln(4)x - 2ln(3) = 0 you get (x-6)(x+2) so x=6, x=-2. I tried putting this numbers in the original but it doesn't work out, what am I doing...
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    How to Solve the Equation 2^x^2-3=4^x?

    solve the equation: 2^x^2-3=4^x (2 to the power of x squared - 3) i can't get it to work ln2^x^2 - 3=ln4^x (x^2 -3) ln (2)=xln(4) i know it'd be -3(ln2)=xln4... but i don't know what to do with x^2 part. i did other questions like this but with 5^2x and 3^1+x, what do I do with the...
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