Find Fourier transfarm f x #1= cos aut ut

Q: find the integrating factor of cos(x)y'+sin (x)y=2cos^3(x)sin(x)-1

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Q: Find the sine transform of 1 and deduce that et - eT TLX F, (cosech Tx)= 1 tanh (p/2).

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Q: Find the critical points of the function f(x)=sin2x−cosx on the interval (0,2π).

A: For critical points, first find the derivative of the function and equate it to zero.

Q: Calculate the derivative 24 dt using Part 2 of the Fundamental Theorem of Calculus. a va a sin (a)

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Q: t2 sin wt

A: We have the formula  L{tnf(t)}=(-1)ndnFdsn(s), where F(s)= L{f(t)}

Q: Find all critical points of the function: R(θ) = cos θ + sin2 θ

A: The derivative is defined as the rate of change of one quantity with respect to another. In order to…

Q: 글 sin (26) + 좋cos (3t) CoS

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Q: Resolver por transformada de laplace  Y"+4y=cosx.  Y(0)=1  y'(0)=1

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Q: Use linear approximation or differentials to approximate cos (1.6)

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Q: Find Fourier transform for f(t) using differentiation property x(t) -2 3.

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Q: a) Differentiate f(x) = sin x from first principtes. %3D

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Q: Find the global maximum and minimum of the function on the given…

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Q: x2 f (x) = t² sin(2t) dt 1

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. G(x) =…

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Q: Find the linear approximation of the function at the given point. f(x, y) = 4 sinx - 6 cos y at (0,-

A: Given,           The function fx,y=4sinx-6cosy  at  0,π2.

Q: Find the average power of the signal: x(t) = cos x + sin x %3D

A: Given: To find the average power of the signal: x(t)= cos x + sin x

Q: b) Find if Scosy Vt3 + 5 dt + tany = x -sinx b) Find if S* Vt2 + 5 dt + siny = x – x°cosy dx2

A: Solve by differentiation

Q: Integrate Sin (1-2 In v)

A: The detailed solution is given below Thank you

Q: Q No 4) Integrate S cosec³xdx . AND also Find F sin10xdx

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Q: Calculate the derivative 10z d dz In (t)dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: Integrate (three) of th 1) f sin6x cos3x dx

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Q: £シノ/2 t. dt. 2

A: Given,  12∫0α e-t t32 dt I=12∫0α e-t t32 dt  Let      u=t⇒dudt=12t⇒dt=2tdu Also use, t2=u4 and  t=u2…

Q: Use Fourier cosine transform to solve y" – y = 3e-4 y' (0) = 0 lim y (x) = 0, as x → o0

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Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Ssin x x cos x dx = %3D Select one: а. -cos 2x +C 4 b. -cos x + C 4 c. -sin 2x + C 4 d. -sin x + C 4

A: We need to evaluate the following integral ∫sinxcosxdx

Q: sinx D.a) Find if mx Vt + 5 dt + siny = x-x²cosy

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

Q: ) 3x - 4x= sin社 ; at t=0,x==

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Q: Find the Laplace transform of tant. Show your full Solution.

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Q: Find the linearization of ƒ(x) = √(1 + x) + sin x - 0.5 at x = 0.

A: substitute 0 for x in f(x)=1+x+sin x-0.5 to obtain the value of f(x) at x=0 f(x)=1+x+sin…

Q: Find the equation of the normal line to the curve f (x) = 6e2x cos x at the point (0,6). %3D

A: Now point on the function is (0,6 ) . Step 1 : find the value of the derivative at x=0 . So, f(x) =…

Q: Calculate the derivative d dz (2t5 34 dt using Part 2 of the Fundamental Theorem of Calculus.

A: The solution are next step

Q: Find Fourier sertes [o, 2] an 2) fex) f Cx) = Sin X ニ

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Q: 4. Use definition (not tables) of L {f(t)}= [ e"f(t)dt to find L{sin(2t)} . %3D

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Q: f(x) = (sinx if 0 π

A: This is a question of Fourier Analysis.

Q: 13. To evaluate f 2costx-1 dx, the integrand can be transformed to 1-sin²x a. [(3cos³x+csc²x)dx b.…

A: Here we have to transformed the given integrand.

Q: Find the Fourier cosine and sine integral representation

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Q: Evaluate the integral sin dt. sin dt%3D

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Q: times the Fourier transform of f(x) provided that the first (n – 1) derivatives of f(x) vanish as…

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Q: Find the linearization of ƒ(x) = sqrt(1 + x) + sin x - 0.5 at x = 0

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Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

A: Fourier inverse of XΩ=1    -π≤Ω≤π0    otherwise is : F-1XΩ=12π∫-∞∞XΩejΩtdΩ…

Q: dt What is the linearization of h(x)= 6+ at x=1? cos (1 -1)

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Q: Evaluate the integral. dx JSlx2 - 3 sin 1 33 x + C 3 sec1 |9x - 3| + C sec 1 19 x| +C * sec 13/5 x|…

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Q: Integrate by parts f(x)=sin4(x)cos3 (x) dx

A: Given the integral  I = ∫cos3(x) sin4(x) dx cos2(x)=1−sin2(x) I = =∫cos(x)(−sin4(x)(sin2(x)−1)) dx…

Q: (a) If f(x.y) = e siny - e sinx then verify that fry fyz- %3D

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Q: Find the sine transform of and deduce that TUX e 1 tanh (p/2). |(2x) F, (cosech rx) = %3D

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Q: Calculate the derivative 26 dt d (6£4 dx using Part 2 of the Fundamental Theorem of Calculus. 26 dt…

A: According to the fundamental theorem o calculus:

Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

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Q: Find the integration of the function given using Transformation by Trigonometric Functions. S sin*x…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…