Recent content by erogol

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    Undergrad How many distinct graphs have n vertices and k edges?

    The graph theory HELP! How many distinct graphs can be found by the set V={1,2,...,n} with k edges? For this question i conclude that totao.l number of distinct graphs comes with 2^(choose two in n) but i cannot find the solution which gives the relation with k edges can you help me?
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    High School A sequence can be start by the a2term?

    Can i define a sequence which starts with a2. term or i must define the first term a1 as well
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    Graduate Limit of x times the integral of cos(t)/t² from x to 1 as x approaches infinity

    yes:) but there is a x before the integral
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    Graduate Limit of x times the integral of cos(t)/t² from x to 1 as x approaches infinity

    lim x \int cost / t^2 (integral x to 1) x goes infitine
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    Graduate Finding values of a for convergent integral from 1 to infinity

    \int (((ax^2)/(x^3)+5) + 2 / x^3) dx (one to infinite integral) find the all possible values of a?
    • erogol
    • Thread
    • Infinite Integral
    • Replies: 2
    • Forum: Calculus
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    Undergrad Counting n-letter codewords with an even number of zeros

    i have no sense to solve it i just know answer is 2^(2n-1) + 2^n -1
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    Undergrad Counting n-letter codewords with an even number of zeros

    a "codeword" from the alphabet A={0,1,2,3) is said to be legitimate if it contains even number of zeros. Thus for instance the codeword 31020 is legitimated and 0002 is not. How many n - letter codewords are legitimated ?
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    Graduate Continuous Functions with Constraints: f(x) > -1 and f(x) = x + ∫₁ˣf(t) dt

    Find all continuous functions f(x) satisfying f(x) > −1 and f(x) = x + \int_{1}^{x} f(t) dt for all x
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    Graduate Continuous Functions f(x) Satisfying f(x)>1 and f(x) = x + ∫f(t)dt for All x

    Yes i mean this integral
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    Graduate Continuous Functions f(x) Satisfying f(x)>1 and f(x) = x + ∫f(t)dt for All x

    So i did it but how can i provide the result by this way
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    Graduate Continuous Functions f(x) Satisfying f(x)>1 and f(x) = x + ∫f(t)dt for All x

    Find all continuous functions f(x) satisfying f(x)>1 and f(x) = x +(1 to x integral) \int f(t).dt for all x
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    Undergrad How can you use L'Hopital's rule to find the limit when x approaches infinity?

    lim (e^((x^3)*tan1/x))/e^(x^2) x goes infinite
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    Undergrad Questions about aplications of integral.

    I have some questıons about aolıcatıons of ıntegral can you help me?
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    Undergrad Volume of solid from rotating region between y=x² and y=x

    Disk method question Use the disk method to find the volume of the solid obtained by rotating the region bounded by y=x^2 and y=x about the line y=x.
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