Q2)/ Solve the following Fourier series: f(x) = Isinx| = sinx ; If 0

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Q: Find sec42x -dx tan 2x A --—-—-cot²2x-—-—-cot³21+ C 16 cot82x) (4sec22x-1) B -(cort2x) 4 12 11 1 C)…

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Q: 10. | [3 - e-lxl – cos x + log(x²)]dx = 0 x³ +4x – sin x 11. x² – 7 -dx 3 0

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

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Q: tan 2x = √3/3

A: Trigonometric

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A: Fixed point :   A point is called a fixed point of g(x) if it satisfies the equation x = g(x).…

Q: Prove that sin x can be approximated by x − (x^3/6) within 0.01 on the interval [-1,1].

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Q: sin( 2 cos (x/ 20 )) = Select one: O 2x (400 - x )°/(400 - 2x) O 40 x/ (400 + x) O ( 2x - 400 ) /…

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Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

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

Q: solve for the Fourier series f(x)=x^2 in (-1,1)

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Q: Solve for 0≤x≤ 10 3xln(sinx) + (sinx)x=4

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Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

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Q: verify sin2(x)+cos2(x)=1

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Q: (8) If fCx) = 3x*- +4X +1, Sind

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Q: Find all values of x in the interval 0<_x<_2pi for which -1/2<sinx<1/2

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Q: L {5-e²t +6t2} L {t²-3t 2e sin(3t)} MA L {t-t²-t+sin(√2t)} D

A: Laplace transformation formulas used are

Q: Evaluate /(e* + - + cos4x)dx O + logx + sn3x +c e2r 3 4 e3x sin4x + logx + + c 3 2 O + logx + e5x 2…

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Q: 5/3 2. 2t4 tan 3x

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