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14. Show the calculations and reSults of calculating the area A bounded by the graphs V = 2x, y = 2x + 1 and the x-axis. 16. You must calculate the power a\" of the complex number 2 = Bert\" + 21g. Show all your steps. 15. Calculate the roots ofthe complex number 25 = 2+ 3] in polar form 17. Given the characteristic equation 2m' + 2m +1 = 0. If the roots m, = o and m2 = b are real valued and different, the solution format is given by y =Ae'\" +32\" where A and B are constants and r is time. If thevr are a complex conjugate pair m, = a+ jb and m2 = a jb , the solution has the form y = e\"'(Acos(br)+Bsin(br)). If the roots are real and the same value m1 = a and m2 = a , the solution takes the form y = Ae'" + Bra\". Calculate the roots or, and m2 of the given characteristic equation and determine the correct form of the solution y. 18. Solve for xand y in i=4Jx+3 j+1 19. The current flowing through a resistor has a periodic wave form defined by i: 4 +sint3t), determine HE the time interval describing one cycle/period {starting at r: 0) . n 'I 3 DI u r 1 VI 20. Calculate the average current over one cvclelperiod for i: 4+sin{3t) 21. Calculating the integral A = Ia\" cosmos: was not covered in mathematics 1 but if you replace cos(x)=R{ e" } ,the integralsimplifies to A=1R{ je'e'lx }.Show all your steps in calculatingthis integral. marks