Using python, Compute and plot the first and second numerical derivative for 100 different values of x between (-10, 10)

Please use python code Integrate y'=siny   y(0)=1 from x=0 to 0.5 with Euler's method using h=0.1.

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.

Represent the GCDs calculated in Problem 2 as a linear combination of the original numbers. (i.e., GCD (a, b) = s*a + t* b, where s and t could be found using Bezout’s Theorem).