In SageMath 9.7 write the code for following problems1. Given a function(7??23)/?^2?7?+10i) Do the partial fraction decomposition of the given function by using the"Direct command". ii) Verify the value of A and B by solving equations and graphing. iii) Integrate the function from 6 to 10.2. Giveninegral 0 to 1. e^(x)cos^(x) i) Use Trapezoidal rule to approximate the given definite integral using n=10.ii) Use Simpson's rule to approximate the given definite integral using n=10.iii)Compare the first two results with the exact value of the integration. (Hint:Find the errors) 3. i) Consider the power series given below. Find the interval of convergence,the sum and draw a conclusion (do the endpoint test). ii) Approximate the Value of cosx, where x=4 and plot taylor's polynomialof the function cosx for degree 4 and 5.

Given 2: