Give values for the Fourier sine series S(x) = ) Bn sin 00 (-) пт %3D 4 n-1 S(4) = S(-1) = S(7) =

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A: (1): Step 1:Step 2: Step 3:Step 4: (2): Step 1:Step 2:Step 3:Step 4:

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A: 10. ∫a53-e-x-cosx+lnx2dxEliminate absolutes =∫a53-e-x-cosx+lnx2dxApply the Sum Rule:…

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A:

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A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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A:

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A: This is hyperbolic function equation so we want to find x value by thi equation so. firstly, we…

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A: Important points: 1. If the derivative of a function is present then assume the function as t and…

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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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A:

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A:

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A: 7) I=∫1-sin2 3t·cos 3t dt  ……1

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A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

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A:

Q: Evaluate

A: b) Given sinπ6π6=π6×180ππ6=30°sinπ6=sin30°sin(π6)=12

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A: Introduction :

Q: SOLVE THE FOLLOWING ODE STEP BY STEP IN DIGITAL FORMAT PLEASE 4y = (y')² - 4 xy' + 2y = sin y

A: Since you have asked multiple questions here, we will solve the first one for you. To get the…

Q: cos(In x) dx =? A 1/(sin 1) B sin 1 1/(cos 1) D sin(e)

A: Given integral can be evaluated as shown below

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A: To determine the value of the below expression. cosπ11−cos2π11+cos3π11−cos4π11+cos5π11

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A: Topic = Derivative FALSE

Q: Find a formula for cos(tan^−1(7z)) assuming that z < 0. Show all the work.

A: cos(tan-1(7z))

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A: This equation solve by separation variable

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Q: Prove that, Cosh(A+B) = CoshACoshB + SinhASinhB. Deduce a similar expression for Sinh(A+B)

A: We have to prove thatCosh(A+B) = CoshACoshB + SinhASinhB.Also we have to deduce a similar expression…

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A: