Question 3. Define an even periodic extension of f(t)=5+6t, 0
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- Problem #5: Use spherical coordinates to find the volume of the smaller wedge cut from a sphere of radius 6 by two planes that intersect along a diameter at an angle of Problem #5: Enter your answer symbolically, as in these examples1. Determine the FOURIER COSINE SERIES of the following STEP FUNCTION: (-1,0 < x < 2 f(x) = } 0,2 < x < 4 (4x,4 < x < 6Question 3. Define an odd periodic extension of f(t) = 2 + 4t, 01. Find the Fourier cosine series for f(t)= |t| when -2 < t < 2 and extended periodically with period 4.6.4 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.Question 2. Define an even periodic extension of f(t) = 1 + 6t, and hence find its half-range cosine series representation in the form 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,