The coefficient of x^r in the binomial expansion of (ax + b)^n isnCr * a^r * b^(n-r)
where nCr = n!/[r!*(n-r)!]
Chat with our AI personalities
True
To find the inverse Fourier transform from Fourier series coefficients, you first need to express the Fourier series coefficients in terms of the complex exponential form. Then, you can use the inverse Fourier transform formula, which involves integrating the product of the Fourier series coefficients and the complex exponential function with respect to the frequency variable. This process allows you to reconstruct the original time-domain signal from its frequency-domain representation.
First ("first" terms of each binomial are multiplied together)Outer ("outside" terms are multiplied-that is, the first term of the first binomial and the second term of the second)Inner ("inside" terms are multiplied-second term of the first binomial and first term of the second)Last ("last" terms of each binomial are multiplied)The general form is: (A+B)(C+D) = AC + AD + BC + BDWhere AC is the first, AD is the outer, BC is the inner, and BD is the last.So:(X+4)(X-5)= X^2 - 5X + 4X - 20= X^2 - 1X - 20
An arithmetic sequence.
4