[A] The constant term in the expion of (x³ - x + 3)(x² + 2x - 4) is (0³ - 0 + 3)[0² + 2(0) - 4] = (3)(-4) = -12. [Reason] For any polynomial (多项式) f(x) = an x^n + a_(n-1) x^(n - 1) + ... + a3 x...
Constant term in the expansion of (x+3)^(16) is 01:39 The sum of the first n even natural numbers is 01:26 The sum of the first n odd natural number is 02:01 The elmennts in the fifth row of Pascal triangle is 02:19 If ""^(n)C(3)=""^(n)C(15), then ""^(20)C(n...
To find the value of k such that the constant term in the expansion of (√x−kx2)10 is 405, we can follow these steps: Step 1: Identify the General TermThe general term Tr+1 in the binomial expansion of (a+b)n is given by:Tr+1=(nr)an−rbrIn our case, a=√x and b=...
The coefficient of the leading term in the large separation expansion of the ground state one-particle density matrix for the one-dimensional quantum many body system with the 1/ r 2 potential can be expressed in terms of this excess chemical potential and thus evaluated explicitly....
Minimum efficient scale (MES) is a term used in industrial organization to denote the smallest output that a plant (or firm) can produce such that its long run average costs are minimized. This concept is useful in determining the likely market structure of a market. For instance, if the ...
(a)Given that the coefficient of I in the expansion of is 4368 find the value of k.General term = [M1](b)(i)Find the value of n, given that the coefficients of and in the expansion of are in the ratio of 3:2 ...Showing the coeff of[M1][A1](ii)Hence find the coefficient ...
the estimation of initial and sustaining capital requirements, the estimation of labour and operating costs, the availability of necessary financing and materials to continue to explore and develop the Kami Property (as defined herein) in the short and long-term, the progress of exploration and deve...
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A ratio used in Hubble's law to express the rate of apparent expansion of the universe, equal to the velocity at which a typical galaxy is receding from Earth divided by its distance from Earth, approximately 71 kilometers per second per megaparsec. ...
Find the constant term in the expansion of (x + {2}/{x^2})^{15}. Let f, g, and h be polynomials such that h(x)= f(x)\ast g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0...