1. Suppose f: [a, b].→ R is C¹ and that f(a) = f(b) = 0. Show that 2 (S f(x)dx) a 6³ - a³ 3 rb [ f'(x)²da.
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- Partial Order Relations Let A = Z Let R be defined on A x A where a Ry if xTopologyTinio ishob Let a universe be given by (5) and suppose that subsets of U are A (1,5), B-12,5,3), C= (4,2). Find (a) AU(BUC) (b) (AUB)UC, (c) An(BC) U-(1,2,3,4,5) that subsets of U are A (1,5), B-12,5,3), C= and suppose 14.2). Find (a) AU(BUC) (b) (AUB)UC, (c) An(BuC) (d) (AnB)U(AnC)(e) A'n(B'nC) () (AUB) - (AUC). Let U be the set of all non negative integers and (6) consider the subsets. A Ixlx is an even integer, 1Sx<6) and B= (xlx is a prime number, 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,