P- Solue Homogeneous u coit) = 0 u (loit)=0 Ux =4 UxX らo o(Xくら )いしx 5くXくlo

Q: sing the relation z=x+iy = rcosθ + irsinθ=re^iθ . Derive z^n = r^n(cosθ + isinθ)^n = r^n(cosnθ +…

A: The relation .The aim is to derive the expression .

Q: CI-3/Quart -6x + 15 + 2x 3 iU Font Family AA A

A:

Q: 2

A: To find, L-11s2+13 The Convolution Theorem is given as, If L-1f¯s=ft  and  L-1g¯s=gt then,…

Q: 3. Find the complex Fourier Series for periodic extension of: x(t) = sin(2t) %D for 0 <t< 2T

A: Note: Since you have posted multiple questions, according to the policy we are only allowed to solve…

Q: Find the trigonometric Fourier of symmetric square wave showI x(t) 1 -T/2 T/2 t

A: Consider the given square wave as shown below: The objective is to find the trigonometric Fourier…

Q: (a) A = [í 21 B = R s c= D= -2 -5. 4 = G ) B= = L, ) = 5[ -3 -5 (b) A = [; ) B =[ D = 5 -11. -5]

A: Givena)A=2112, B=-30-2-5 , C=-2-402, D=0000.b)A=1114, B=-3-50-11 ,C=19-110 , D=-55-20-25To find All…

Q: Bolve * LOB3X + 3inxt é Ars: 1 = De B o83X -3_8in2 18 3x m , 18

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Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: 10 -1] 27 -3 -6 -61.5 1 -21.5 5 2. 1.

A: Firstly write A=LU and find L and U . After that AX=B ⇒(LU)X=B ⇒L(UX)=B ⇒ LZ=B ; where UX=Z . Find…

Q: Qil If y , Show that y=2x- 2y3

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Q: { exp(-5) 203 f (x; 0) : x >0 otherwise where 0 > 0. (a) Find the MLE for 0. (b) Find the MLE for…

A: Given that X1, X2, . . ., Xn are iid random variables with common pdf fx; θ=x2exp-xθ2θ3 ,   x≥0 ,…

Q: Let flox) - I=39 1-3x %3D

A: Answer and explanation is given below

Q: a) 1-5x The function is given as y= 3-7x To find the inverse of the function,

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Q: Anonymous 1 d Question 5 5 Express the expression, In (8x^2 * y^3), in terms of u and v, where u In…

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Q: An electronics firm has a production plant in each three cities: Marikina, Pasig, and Valenzuela. It…

A: As demand is less than the capacity, we add a new dummy column with zero cost to balance the…

Q: +o0 - Find Ul-1/i, 1/i]- i=1

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Q: Differentiate. f(x) X x+ C X

A: Topic -Derivative of a function We are given, f(x)=xx+cxwe know thatddxuv=vu'-uv'v2    [ u and v are…

Q: [2 4 21 A = l1 3 1 1 1 B = -2 -1 [2 4 D = 4 C = 1 3 21 -1 %3D 2

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly  C = AD = -B

Q: 2ä + 2i + x =1 with x(0) = 0 and ¿(0) = 2 Answer: x(t) = 1+ 3e-0.5t sin 0.5t – e-0.5t cos 0.5t

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Q: Verify that (cotx-cscx) (cotx+cscx) + 1 = 0.

A: (cotx-cscx)(cotx+cscx) + 1 = 0.

Q: 2x³-3x²-6x47 вхая

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Q: lim (ex + x) = хэр

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Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: The possible values of Re (i ^1/2) + | Im (i^1/2) | a) −1,1 b) 0, 2 c) 0,1 d) 1, 2

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Q: Evaluate d/dq sec3(q2)

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Q: Secza (3tan 2a - 4seczx blx

A: Given : ∫sec(2x)(3tan(2x)−4sec(2x))dx

Q: а) у%3DIn(x? + 4)(2х + 5) b) у%3DIn (12х - 7) с) у ex2+3 ex-4 - d) y= 2x'ex e) y = ev3x+T

A: Given data:   a) The given function is: y=ln(x2+4)(2x+5).   The expression for derivative of the…

Q: Differentiate, hcx) = In (x-Vr

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Q: Let ø = p(x), u = u(x), and T = T(x) be differentiable scalar, vector, and tensor fields, where x is…

A: Given:-                   Let ϕ = (x), u = u(x), and T = T(x) be differentiable scalar, vector, and…

Q: 14

A: