MAE 215: Tuesday, July 19th by 11.59 pm Submission Instructions: Unorganized solutions and/or solutions that do not present the required deliverables...
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MAE 215: Introduction to Programming in MATLABSummer B 2016Homework Assignment #3Due: Tuesday, July 19thby 11.59 pmSubmission Instructions:Your solutions to this assignment must be typed and neatlypresented.Unorganized solutions and/or solutions that do not present the requireddeliverables will not be graded and receive a score of zero. This assignment is to besubmitted, in PDF format, to the assignment link on blackboard by the deadline.Students who obtain a score of 80% or greater on problem #3 will receive credit for outcome#2: students will Create MATLAB scripts and user-defined functions.1. [10 pts] Revisiting MATLAB matrices and built-in functions.a)Factor the following polynomials using MATLAB:i.࠵!+18࠵+81ii.࠵!+11࠵+24iii.࠵!−10࠵+9iv.࠵!−4࠵!+4࠵−16v.2࠵!−16࠵−40b)Multiply the following vectors using “dot” multiplication. What does this type ofoperation do in contrast to traditional matrix multiplication?i.[5,6,9]’ with [10,10,10]’ii.[1,1,1]’ with [2,5,1]’iii.࠵=13910with࠵=451022. [30 pts] Plotting in MATLAB.a)Consider the following function:࠵=࠵࠵=sin࠵+࠵!+6!Create vectors from -10 to 10 with the following step-sizes:i.5ii.1iii.0.1iv.0.001v.0.00001plot the results on the same graph. Add axis labels, title and legend.b)Create multiple figures, plotting all data from part (a). Create new titles, asnecessary. Change the line styles to the following:i.red, black, green, cyan, magenta - grid onii.black diamonds, red circles, blue x’s, dashed magenta, dotted green - grid offiii.black asterisks, red squares, dotted red, blue dashes, magenta squares – gridon