### Engineering Mathematics Solutions

Added on - 15 May 2020

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Engineering Mathematics1ENGINEERING MATHEMATICSby [NAME]CourseProfessor’s NameInstitutionLocation of InstitutionDate
Engineering Mathematics2Engineering mathematicsPart 1Task 1The following expression represents two complex numbers which are to be multiplied.(A+jB)(CjD)Carry out the operation working inrectangular formSince A=6, B=8, C=2 and D=4 the complex numbers become(6+j8)(2j4)Therefore, the operation becomes,¿12j24+j1632(j2)¿44j8Polar forme1=62+82=10θ1=tan186=53.43z1=10e53.43ie2=22+42=20θ2=tan142=63.43z2=20e63.43i
Engineering Mathematics344e116.56iThe above solution is equal to¿44j8therefore the two answers are similar. The solution canbe presented on an Argand diagram as shown below.Task 2The following expression represents two complex numbers which ae to be divided.A+jBCjDRectangular formSince A=6, B=8, C=2 and D=4 the complex numbers become6+j82j4The first step is multiplying the complex number with the conjugate of the denominator asfollows;6+j82j4×2+j42+j4=12+j24+j16324+16
Engineering Mathematics4=20+j4020=1+j2Polar forme1=62+82=10θ1=tan186=53.43z1=10e53.43ie2=22+42=20θ2=tan142=63.43z2=20e63.43iz=z1z2=1020e10.33The above solution is similar to¿1+j2therefore both methods give a similar result.The solution s represented as shown below  