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- 1. Let c denote a real number, where -16.4 Find the relationship between the A(k), B(k), and X(k), where X(k) are the expo- nential expansion coefficients and A(k) and B(k) are the trigonometric expansion coefficients for the discrete Fourier series of a real periodic sequence.MQuestion 2. Define an even periodic extension of f(t) = 1 + 6t, and hence find its half-range cosine series representation in the form 04. Arthur won Php120 396.00 in the lottery. He donated half of it to the orphanage. Half of the remaining amount was divided by his 4 children. How much did each child receive? A. Phn7 524.75 B. Php6 524.75 C. Php5 524.75 D. Php4 524.75Solve cRecommended 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,