-2, z<1, Find the Fourier integral formula for f(z) 10, |피 > 1. Select one or more: cos (a) – a sin(a)] 2 O B(a) asin(a)) -4 sin(a) O A(a) = %3D -2 cos(a) O A(a) OA(a) sin(a) O B(a) = sin(a) 2 sin(a) O A(a) = B(a) = – cos(@) sin (a) -4 sin(a) REDMI NOTE 9 48MP QUAD CAMERA

Q: b) Differentiate (i) (i) the following functions clearly showing your working y = cos (4x4) y =…

A: Let us differentiate the functions with respect to x in the next steps.

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A:

Q: 13x (b) sin 12

A: NOTE: Refresh your page if you can't see any equations. . use the formula

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A:

Q: Question 5 Evaluate the Integral / costx sinx dx (A 5 -cos x+C (B) -sin³x+C -sin*x+C -cosx+C D

A:

Q: In(√3) e dx 1+e²x A) tan-¹(3)-tan-¹(e) C) tan-¹(√3) E)-tan-¹(e)

A: Given integral: I=∫1ln3exdx1+e2x   Let, u=ex Then, dudx=ex So, exdx=du Now, the lower limit becomes:…

Q: 2. Explain why arcsin(sin(0)) = 0 but arcsin(sin(807)) # 807

A: Concept  arcsin(sin x) = x   is true  only when x lie in the interval [-π/2 , π/2]

Q: 1. Use trigonometric substitution to evaluate each of the following. (») /: dx x² + 4x + 3 (b) dx (4…

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Q: S 3. sin°ydy 1+ cosy

A:

Q: ; Choose the most appropriate answer. (i) Let 1-r 2 E (an cos(ntx) + bn sin(nrx)], n=1 on (-1,1).…

A: This is Fourier series expansion of (1-x) from -1 to 1.

Q: 3. ox (- w) and ¢x (@) are complex functions, i.e., x (- w) = ¢x (w)

A:

Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: )L{sinh(7t) + (2t + 1)U (t – 1)},

A:

Q: e' [ S (5² +a²) 2 ] = t sinat 2a 7 Prove using Convolution

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Q: 7) {(1- sin° 31)- cos3t dt 8) | t in’ (5x)· sec´ (5x) dx

A: 7) I=∫1-sin2 3t·cos 3t dt  ……1

Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: Consider (D² +1)y = sin²x_ Using variation of parameters, what is the form of y ,? А y =f cos x + g…

A: As per guideline we have to solve one question Please repost other question again

Q: Use Fourier Analysis identity to prove ** sin sin(mx) cos(nx) dx = 0.

A: To prove:  ∫-ππsinmxcosnxdx=0

Q: 9. (1+ sin 0) de

A: To evaluate the given integral

Q: dv Integrate 9 + v2

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Q: (sin(t) – cos(t)) (sin(t) + cos(t)) Simplify to a single trig function (csc(t))(2 sin(2t)) CSC

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Q: (sin 31)8(1-a/2)dt

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Q: Cos 56 CUST J sin'sB-sinsB dB

A: Consider the provided integral, ∫cos5βsin25β-sin5βdβ Find the expression for the provided integral.…

Q: Find Lt+1)²-e' sin² t + cos(t+1 ++ π)}.

A: Given :

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A:

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

A:

Q: Find the Fourier coefficients of the function f(x) = sin(10x) cos(x).

A: Given function is Noted that for a function for which fourier series exists, it is of the following…

Q: Express sinh (i) in the form a + ib

A:

Q: Sz sin?m-10 cos2n-10 = – B(m,n) В (т,п)

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.