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- determine an expression for dyl dx a)y= 2x*+ e*+ 2x² tan(x)+TTshow that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is generally not commulativeWhich of the following functions is the unique solution of the IBVP Ut = 4uzz, 0 0 u(0, t) = u(2n, t) = 0, t> 0 u(x,0) = sinx - 2 sin 4x, Select one: A. u(x, t) B. u(x, t) = 2 sin re sin re 41 sin re 8t 16t Cu(x, t) D. u(x, t) = sin ze E u(x, t) = 2 sin æe 4t 0Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,