Question: dy dx 5. (6 points) Consider the differential equation = (x+1)e with y(1) = 0. Find the second degree Taylor polynomial of y about

dy dx 5. (6 points) Consider the differential equation = (x+1)e with

dy dx 5. (6 points) Consider the differential equation = (x+1)e with y(1) = 0. Find the second degree Taylor polynomial of y about x = 1 and use it to approximate y(0). 6. (6 points) Use series to approximate the definite integral 1" sin(x) dr with an error less that 10 4.

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