a) Compute the quotient (22 + 2i) / (2 + 2i) b) Suppose z = (In 2) + i (pi/2). Compute e^z

Q: use direct Fourier transform formula to prove thès 8o -at t é ut ult)

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A: We will answer the first question as you didn't mention any. Please resubmit the other questions…

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A: A number of the form z = x + iy is known as complex number, where x is real part and y is imaginary…

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A: "Since you have posted a question with multiple subparts, we will solve the first three subparts for…

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A: Topic:- calculus

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A: Explanation of the answer is as follows

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Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

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A: By substituting cosh(3x) in givenimit we can get the required value of Function.

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A: The objective is to find the indefinite integral.

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A: We have to find given integral.

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A: Consider the integral

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A: Solution

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A:

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Q: 6) Prove mathematically that (1 grad = 0.9 deg) %3D

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A: Given equation is 2cos x3 - sinx =14 And, initial guess:- x0 =π Also, 2cos x3 - sinx =14⇒ x  = cos-1…

Q: This is exercise 12 of Section 7.5 page 460. Find the integral sin(2x) dx +C 1+ sin (x)

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A: Given integration is : ∫47x-79dx To find the value of integration.

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A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

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A: Given ∫01 (3x+2x2)We know that ∫xn=xn+1n+1+C

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A: To evaluate: ∫11+25cosxdx Let, I=∫11+25cosxdx Since, we know that cosx= 1-tan2x21+tan2x2…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.