a)For the function 3x^2 4x + 2 do the following (define the unknown as symbolic variable): i. Plot the graph for the x-scale between -4 and 4. ii. Find the indefinite integral of the function. iii. Find the definite integral of the function from x = 2 to x = 5. iv. Find its derivative. v. Approximate the derivative in (iv) for x = 2.

b)A system is said to be stable, if its output is under control. Otherwise, it is said to be unstable. The transfer function for an isothermal CSTR is presented as follows: =1.12+3.15/2+4.64+5.38 A process is stable if the root of denominator has negative values. Determine the stability of a given process.