There is one Graduate Attribute (GA9) associated with this module: Graduate Attribute 9: Independent learning ability Demonstrate competence to engage in independent learning through well-developed learning skills. Range Statement: Operate in well-structured environment with some unfamiliar elements requiring personal responsibility and initiative, accurately self-evaluate and take responsibility for learning requirements; be aware of social and ethical implications of applying knowledge in particular contexts. Due to limited contact time, all knowledge required for this module could not be taught during contact sessions. Using the information given in class, you will be required to do further research to further your understanding an important aspect of Chemical Reactor Design. The time required to achieve a certain conversion in a Bach Reactor is determined by the following equation: t=NA00xrAVdx The volume of a Plug Flow Reactor (PFR) required to achieve a certain conversion is determined by the following equation: V=FA00xrAdx An important component of both these formulae is the integral or the area under the curve. One of the more popular methods of determining the area under the curve is to use the Simpson's Rule whose final form is: abf(x)dx=i=1n/2x22x2f(x)dxi=1n/23h[f(x2i2)+4f(x2i1)+f(x2i)]=3h[f(x0)+4f(x1)+2f(x2)+4f(x3)++4f(xn1)+f(x0)] Another alternative is to use the mid-point rule: ForthisassignyouarerequireMi=i=1nf(mi)x and how these methods works. For the assignment, you are require 1) Discuss the mathematics underpinning these methods. 2) Determine the area under the following curve from x=1 to x=3 using both the methods: 3) Compare the results obtained with those obtained using POLYMATH. Note: the Rubric below will be used to assess your work. You are required to be competent in each of the indicators given in the table below. If any indicator is not met, your submission will be returned to you to improve your submission