Solve for the following problems numerically using Manual solution and Python solution (Numpy) Prove the equality of the following trigonometric functions using Euler identities. Further prove the equality in Python (NumPy). 1. e^?? +1 = 0

solve using PYTHON/matlab

Please do part B-D and make sure the code is in python

Solve the following nonlinear equations by Newton iteration and fixed point with initial conjecture x, = yo = 1.2. And get the answer using Python code with an accuracy of 3 significant digits. Sy = -x² +x + 0.75 ly + 5xy = 22 %3D

InstructionsSolve for the following problems numerically using Manual solutions and using Python Code (Numpy)Question 2. Prove the equality of the following trigonometric functions using Euler identities. Furtherprove the equality in Python. Furthermore, plot the left-hand side and right-hand side of the equation andtheir Euler forms as additional proof.

Using python or matlab to compute this.

Computer Science 19. Find the fourth-degree polynomial y(x) that passes through the points (0, 1), (0.75, −0.25), and (1, 1) and has zero curvature at (0, 1) and (1, 1) (Must be solved using python 3)

Develop a python code to solve general scalar and vector ordinary differential equations using the fourt-order Runge-Kutta method   The method should have classes,modules and a main program

PYTHON/JUPYTER NOTEBOOKS Given the following net reaction rate density vector in units of mols/(s ml) r =(0.690351.11066−0.13213−0.886660.13489−0.50093−0.54989). Compute the species production rate density vector, r, and kindly  show the results with 5 decimal places and state the units. Explain how you obtained the result and what it means.