9. Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below (4 for 0 < t < 1 elsewhere f(t) = 0 is given by A ew/2 sin () where A is an expression to be determined where the use of any trigonometric or exponential identities needs to be clearly shown and derived.

Q: 2.2 y = (x³ − 1)(x² − 2x + 1) using the product rule. √1 + tan² x 2.3 y= sec² x

A: solution of the given question is like aS:

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Q: Show that u = x³ – 3xy? is a harmonic function and find a corresponding analytic function f(z) = u +…

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Q: (b) Using the Fourier integral formula , show that cos Tw -sin xwdw = {2 if 0n

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Q: Find, to 10 significant figures, the unique turning point to of f (z) = 5 sin (ầ z4) – sin (q z) -…

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Q: 2. Find each of the following transforms: (a) L[x² sin ax];

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Q: Match the expression on the left with its simplified form on the right Drag and drop options on the…

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Q: Consider the functions h : R→R and g : R -R defined by h(x) = 72 (5 + arctan(sinh 4æ)), . g(x) = 144…

A: Using inverse trigonometric  function properties

Q: 4) For the following function f(x), find the exponential Fourier transform of f(x) as a Fourier…

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Q: 1/2 Evaluate csc лt cotët dt [ 1/6

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Q: The function f is defined by f(x) = x² - 2 - 4 sin (3x² + 5). Let l be the line tangent to the graph…

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