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- Preview File Edit View Go Tools Window Help Mon Apr 5 2:29 AM Adobe Scan Apr 05, 2021.pdf Search Page 2 of 3 Adobe Scan Apr 05, 2021.. O Ue Hhe inne padut19. Determine whether cach of these functions is a bijec- tion from R to R. a) fx) = 2x +I b) fix) = x +1 c) fix)=x' d) fix) (x+ 1/ +2)Revert Don. 6. The simulation of parameter-distributed processes is connected with discretization in space and time. The distribution of changes in the temperature x of a heated at the front massive long metal piece is described by the following partial differential equation: a²x(z,t) Oz² ax(z,t) (1) = -a(x-0₂)+b at where 0, is the ambient temperature, a and b are constants. Derive the discrete model by applying discretization first with respect to z (z;= i.Az) and after that with respect to t (tk=k.At), using backward finite differences for the corresponding derivatives.Recommended 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,