Determine if the function g: RR defined as is analytical og if yes, find its Taylor series. g(x) = f* siff(t²) dt
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![b)
Determine if the function g: R → R defined as
g(x) = [*ª sif(t²) dt
0
is analytical og if yes, find its Taylor series.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F650d4e2b-7b7a-48b9-81a8-905dc5b881fd%2F81dcbb74-8ed8-48fe-a861-09fe3039a33d%2F0j1qw8_processed.jpeg&w=3840&q=75)
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- Q3) a) Evaluate x-213(3x)dx. b) Expand the following function in a Fourier Bessel series using Bessel functions of the same order as in the indicated boundary condition: f(x)=x², 0Q3) a) Evaluate fx-²1₂(3x) dx. b) Expand the following function in a Fourier Bessel series using Bessel functions of the same order as in the indicated boundary condition: ƒ(x)=x², 04. Express the f(x)=1+x function as a Fourier series in the interval of -Tc) Use Taylor series expansion of f (x) = In(1 + cos x) given by %3D f(x) = In 2 –x² -*- -x* +.. 1440 to evaluate the function value at x = 0.5 such that the results are conforming to 2 significant figures.Q8// Determine the Fourier series for a periodic function shown 2n TT 2п6. Let f be defined as -1 < x < 0 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,