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MODULE TITLE : ANALYTICAL METHODS FOR ENGINEERSTOPIC TITLE : ALGEBRAIC METHODSTUTOR MARKED ASSIGNMENT 1 (v2.1)NAME........................................................................................................................................ADDRESS.......................................................................................................................................................................................................................................................................................................................................HOME TELEPHONE..................................................EMPLOYER.......................................................................................................................................................................................................................................................................................................................................WORK TELEPHONE......................................................Student declaration:I declare that all the work submitted is my own work and that no part of it has been copied fromany other source without full acknowledgement and complies with the University's guidingprinciples as stated in the Regulations Relating To Academic Misconduct*.Student signature:.....................................................................................................Date:....................................................................................................Student code:....................................................................................................Email:....................................................................................................*http://www.tees.ac.uk/docs/index.cfm?folder=Student%20Regulations&name=Academic%20RegulationsTeesside University Open Learning© Teesside University 2011( Engineering )
1.(a) Transpose the following formula to makevthe subjectf=uvu+vSolutionf=uv(u+v)f(u+v)=uvfu+fv=uvfu=uv−fvfu=v(u−f)v=fuu−fTeesside University Open Learning© Teesside University 2011( Engineering )
(b) Solve the following equation to find the value ofx:(3.4)2x+3=8.5solution3.4×3.4x+3=14.56x14.56x=8.5x=1.713–Rt(c)In the formulaθ =VeL,the value ofθ= 58,V= 255,R= 0.1andL= 0.5. Find the corresponding value oft.solutionk=ve×−Rtl58=255e×−0.1t0.5−0.10.5=0.2t255e×−0.2t=−51etTeesside University Open Learning© Teesside University 2011( Engineering )

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