Recent content by inferi

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    Prove Equation Without Substitution: a0+a1x+a2x^2+...+anx^n=0

    ok we have to integral f'(x)=a0+a1x+a2x^2+...+anx^n so we can apply the mean value theorem, and the integral of this equation is a0+(a1/2)+(a2/3)+...(an/n+1) is that right?
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    How to Prove that g(x) is Increasing on [0, Infinity) and f(x) = 0 on [0, c]?

    if tou do not know to answer just say so, but do not be like someone that thinks he is better than anyone ok.
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    How to Prove that g(x) is Increasing on [0, Infinity) and f(x) = 0 on [0, c]?

    so what about the second part of my question? please anyone can help?
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    How to Prove that g(x) is Increasing on [0, Infinity) and f(x) = 0 on [0, c]?

    you John or whatever this topic is for the question in the first post so be good and get out and make your own topic ok
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    Prove Equation Without Substitution: a0+a1x+a2x^2+...+anx^n=0

    sorry i did not put the full question it is really the interval (0,1) but there is no f(x) in the question only equations are: 1- a0+(a1/2)+(a2/3)+...(an/n+1)=0 2- a0+a1x+a2x^2+...+anx^n=0 that's it and if you use the mean value theorem you are going only to get a0 when x=0 and the...
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    How to Prove that g(x) is Increasing on [0, Infinity) and f(x) = 0 on [0, c]?

    so i took the derivative of g(x) and it is equal to =(x.derivative of f(x)-f(x))/x^2 then you equal it to zero (first derivative test) so the final answer is derivative of f(x)=f(x)/x and from the question we know that derivative of f(x) is continuous on [o,infinity) so f(x)/x (which...
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    How to Prove that g(x) is Increasing on [0, Infinity) and f(x) = 0 on [0, c]?

    hi, this question is so hard that i do not know it's head from it's tail. here this the question: let f be a funcation defined on [o,infinity),with the properties: f is continuous on [o,infinity),f(0)=0,and the first derivative of f exists on [o,infinity),and the first derivative of f...
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    Prove Equation Without Substitution: a0+a1x+a2x^2+...+anx^n=0

    hi, I have this equation that i need to prove i used numbers and worked but you have to prove it without substitution, here is the question. let a1,a2,...,an be all real number with the property that: a0+(a1/2)+(a2/3)+...(an/n+1)=0 prove that...
  9. I

    A center of a circle with a parabola

    Thanks i got it the center is (0,1.25) and i used the other point just to make sure and it gave me the same answer.
  10. I

    A center of a circle with a parabola

    hi, I have this question which is a challenging problem: in this link you will veiw the graph of the question https://www.physicsforums.com/attachment.php?attachmentid=11650&d=1195680084 the question is to find the center of the circle which it's radius is equal to 1. the parabola...
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    Prove (1+x^2)(1+y^2)(1+z^2)/(xyz)>=8 with x,y,z Positive Real Numbers

    hi, there is a challenging problem that no one could answer it,so here it is if anyone wants to try: if x,z,y are all positive real numbers prove that: (1+x^2)(1+y^2)(1+z^2)/(xyz)>=8 so anyone can help please? thank you.
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    A spherical iron ball covered with ice

    hi everyone this is a related rates question no one in the class could solve it. I could not find how to find the equation that relate all the things in the question.the question is: A spherical iron ball 8 in. in diameter is coated with a layer of ice of uniform thickness. If the ice melts...
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    Can You Solve This Challenging Physics Problem?

    thank u sennyk u were a great help
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    How Do You Derive the Formula for P-n(0) Using Legendre Polynomials?

    There is a question where you should find a formula for P-n(0) using the Legendre polynomials: P-n(x)=1/(2^n*n!) d^n/dx^n(x^2-1)^n , n=0,1,2,3... I tried to derive seven times by only substituting the n until n=7,I did that because i wanted to find something that i can build my formula but i...
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    Can You Solve This Challenging Physics Problem?

    I am also stuck in this formula ,I tried to derive seven times by only substituting the n until n=7,I did that because i wanted to find something that i can build my formula but i could not. anyone can help?
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