####### in python ########## Calculate the approximate solution of th system of equations. xy = (z^2)+1 xyz + y^2=(x^2)+2 (e^x)+z=(e^y)+3
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- 5. For function f(x) = 6 – x² on R, find: a) f(-5) b) f(3 – h) – f(8)1, 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 = 0.251.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)
- (Practice) State whether the following are valid function names and if so, whether they’re mnemonic names that convey some idea of the function’s purpose. If they are invalid names, state why. powerdensity m1234 newamp 1234 abcd total tangent absval computed b34a 34ab volts$ a2B3 while minVal sine $sine cosine speed netdistance sum return stack1- The function F (x,y,z) = x'y' + yz is equivalent to: a ) Ση(2,3 ,4) b) Σm(2,3 ,5) C) Σm(1,2 ,5) d) Σm( 0,1,3,7)For the given tabulating problem, solve for the needed: Note: This problem was quoted from: An Introduction to Matlab David F. Gri_ths formerly of Department of Mathematics, The University of Dundee, Dundee DD1 4HN Scotland, UK Exercise 14.1 Tabulate the functions y = (x² + 3) sin πx² and z =sin? wæ/(x^2+3) for x = 0,0.2,..., 10. Hence, tabulate the func- tion (x² + 3) sin 7x² sin² π.χ (x−²+3) Plot a graph of w over the range 0 ≤ x ≤ 10. W= - Write a computer algorithm (with python) for tabulating the resulting numbers. - Write a computer algorithm (with matlab) for tabulating the resulting numbers. - Verify the code results with hand calculations and show it as real table.
- 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 2.2. Design a TM that computes the function f(x) = 0 if x is odd and f(x) = 1 if x is even.Develop a c++ program that calculates and plots the Fourier series of the following function:f(t)={2 0<t<3 T=6 -2 -3<t<0 List the coefficients and graph of the first terms of the series up to n=10
- HW3_3 Using built-in functions a) Use the built-in function roots to find all the roots of the polynomial g(x) = x¹+65x³ + 86x + 128. Print your results. b) Given f(x) = x³ – 5x + 10 and g(x) = 4 sin(3x) + 6 Graph these two functions (using different colors for the lines) such that all intersection points are shown. Solve for the intersection points and plot them on the graph with red stars. Use the built-in function brentq. Note: Import appropriate libraries.You are require to construct a program that accepts two vector (2D), and computes two operations to find scalar product and dot product for the two vectors. Code is written using Python (console output) Use modular programming approach (function based)Use the C++ language to solve the following A)Write a computer program for Gauss elimination method using C programming language. Decide the number of significant figures yourselves. While writing your program, consider the effects of the number of significant figures, pivoting, scaling and do not forget to check if the system is ill conditioned. B)Repeat the same procedures for Gauss-Jordan method. C)Solve an example system using your Gauss elimination and Gauss-Jordan method. Measure the time your computer solves the system for both programs. D)Write a report in which you discuss and compare your Gauss elimination and Gauss-Jordan programs. Upload you report and two code files to the DYS system