A quadratic function is a function of the form f(x) = ax² + bx+c, where a, b, c ER are fixed constants. Define a function quad_coefficients which accepts a quadratic function fas input, and returns a tuple containing the value a at index 0, b at index 1, and c at index 2.
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- 1.Express the following functions in sum of minterms and product of maxterms : (a) F (A,B, C,D) = B'D+ A'D+ BD (b) F (x, y, z) = (xy+ z)(xz+ y)Create K-maps and then simplify for the following functions. 3) F(x, y, z) = xyz + xy’z’ + x’yz + x’y’z1, t>0 10, t<0 Let u(t) The total energy E of the function x(t) = sin(3t)u(t), is O Eo = 0 O E = 00 O Ex = 0.5 O E = 0.25
- 5. For function f(x) = 6 – x² on R, find: a) f(-5) b) f(3 – h) – f(8)Write expression as sum of Minterms for Any One Neutral function F over 04 variables A, B, C, and D. Any One Self-dual function D over 04 variables A, B, C, and D. Any One Orthogonal function E over 04 variables A, B, C, and D.Create a function that takes numbers b, m, and n as arguments and returns the definite integral of the function f(x)=(b+1)*x^b with respect to x from x-m to x=n, where b m, and n are constants. Examples integral (0, 2, 5) → 3 integral (2, 4, 7) → 279 integral (5, 9, 3) →-530712
- Given main() and GVCoin struct, complete function Consecutive Heads() in main.c that counts and returns the number of flips taken to achieve a desired number of consecutive heads without a tails. Function ConsecutiveHeads() has a GVCoin struct and an integer representing the desired number of consecutive heads without a tails as parameters. Review the GVCoin struct in "GVCoin.h" and the function implementations in "GVCoin.c" by clicking on the orange arrow Note: For testing purposes, a GVCoin struct is created in the main() function using a pseudo-random number generator with a fixed seed value. The program uses a seed value of 15 during development, but when submitted, a different seed value will be used for each test case. Ex: If the GVCoin struct is created with a seed value of 15 and the desired number of consecutive heads is 5, then the function Consecutive Heads() returns 53 and the program outputs: Total number of flips for 5 consecutive heads: 53 LAB ACTIVITY 9.13.1: LAB:…x3 is O(g(x)) for each of the ff. functions g(x) EXCEPT O g(x) = x² O g(x) = x° O g(x) = 3* O None of the choicesWrite a function using lgwt() to calculate composite Gausian quadrature using the call I = compositeGauss_integrate(Fun,a,b,n,N) where, - Fun is the name for the function to be integrated, - a is the lower limit of integration, b is the upper limit of integration, - n is the number of points used in each Gaussian quadrature subintervals - N is the number of subintervals. Code: function[I]=compositeGauss_integrate(Fun,a,b,n,N)% Inputs:% Fun - the function being integrated% a - the lower limit of the integration% b - the upper limit of the integration% n - the number of points used in each Gaussian quadrature subintervals% N - the number of subintervals % Outputs:% I - value of integral % calculate the width of each subintervalh=(b-a)/N;% calculate the endpoints of the N subintervalsxs= ;% initialize the integral valueI=0;% for each subinterval, calculate the Gaussian point locations and the weights,% then calculate the weighted sum of the evaluated function at the% Gauss points and…
- Let f(A, B) = A B, simplified expression for function fi f(x+ y, y), z) isQ3: Two Variables es are define by the following equations: f1=E m(2,4,5,10, 12,13,14). f2=Em (2,9,10,11,13,14,15). Show how these functions can be implemented on a PLAWrite expression as sum of Minterms for Any One Self-dual function D over 04 variables A, B, C, and D.