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- Explain the Wronskian determinant test. Using the Wronskian determinant test, write the program using NumPy to determine whether the functions f(x)=e^(- 3x), g(x)=cos2x and h(x)=sin2x are linearly independent in the range (-∞, + ∞). #UsePythonDetermine whether each of these functions is a bijection from ℝ to ℝ. If it is, write the inverse function. f(x) = 3|x| − 4Solve in C++ using the given code and avoid using vectors
- Create the K-maps and then simplify for the following functions: 1). F(x,y,z) = x′y′z′ + x′yz + x′yz′Create the K-maps and then simplify for the following functions: I) F(x,y,z) = x′y′z′ + x′yz′ + xy′z′ + xyz′Create the K-maps and then simplify for the following functions: 1) . F(x,y,z) = y′z′ + y′z + xyz′
- What are the canonical Product of Sums for the following 3-variable function: ƒ (a, b, c) = πM (0, 1, 3, 7)For function f(x)=1/(1+30*(x^2)), Write a Matlab function that computes the barycentric form of the interpolating polynomial with n+1 interpolation points.Prove:Church’s thesis: The class of computable functions is equal to the class of intuitive computable functions.