eal life world problem about quotient of functions on operation.
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Generate a real life world problem about quotient of functions on operation.
Then solve it.
Step by step
Solved in 2 steps
- Determine whether each of these functions is a bijection from ℝ to ℝ. If it is, write the inverse function. f(x) = 3|x| − 4Explain 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. ?(?) = 3|?| − 4
- The zero vector 0 = (0, 0, 0) can be written as a linear combination of the vectors v,, v,, and v, because 0 = Ov, + Ov, + 0va. This is called the trivial solution. Can you find a nontrivial way of writing 0 as a linear combination of the three vectors? (Enter your answer in terms of v,, v,, and v. If not possible, enter IMPOSSIBLE.) v, = (1, 0, 1), v, = (-1, 1, 2), v3 = (0, 1, 2) 0 =Given f1(x) = −3x + 4 and f2(x) = x2 are functions from R to R. Find: a. f1.f2(x) b. f1.f2(-1)Write pseudocode for an algorithm for finding the real roots of equation ax2 + bx + c for arbitrary real coefficients a, b, and c. (You may assume the availability of the square root function sqrt(x).)
- 1)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.2)Repeat the same procedures for Gauss-Jordan method.3)Solve an example system using your Gauss elimination and Gauss-Jordan method. Measure the time your computer solves the system for both programs.4)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.1)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.2)Repeat the same procedures for Gauss-Jordan method.3)Solve an example system using your Gauss elimination and Gauss-Jordan method. Measure the time your computer solves the system for both programs.4)Write a report in which you discuss and compare your Gauss elimination and Gauss-Jordan programs.Write a program that can inverse a matrix by using an approach to find its minor, cofactor and adjugate matrix. Test your program with the given matrix ?