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Q: 6. Evaluate the following real integrals by residue theorem 3 & •S= Sin H соз mx ~ (x²+a ²) (x²+ b²)…

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Q: i) Find the exact length of the curve y=+15x52 4x3 1 ≤ x ≤ 2,

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Q: 4. Compute the first fundamental form.

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Q: 6. Evaluate the following real integrals by residue theorem 3 211 • 1 = √√ 201₂ do 0+2sing +3 ans o…

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Q: 6. Evaluate the following real integrals by residue theorem 3 I=S -24 2 dx 2x (x²+a²) ² ans ? tr 493…

A: 6. To Evaluate: ∫-∞∞dxx2+a22

Q: Assume the current 1-year interest rate is 4%, and you expect the 1-year rate to be 5% next year and…

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Q: Find the moment of mass from the x-axis for y = x ln(x) - 3x and y = 1 bounded by x = 3 and x = 6.…

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Q: (HW) Ex. 3 Solve the systems of ODES and initial value problem = 2y: 3/₂ = 2y₁ y₁ (0)=1. y₂ (0)=0…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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Q: 0 •S= соз mx ∞ (x²+a²) (x² + b²) .dx -bm 5am 17/12 ( € - €) a a²b² ans ?

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Q: Construct a Venn diagram illustrating the given sets. A = {4,5,6,7,8,9} B = {3,4,5,6,10} C =…

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Q: g(t) = f(2t) d dt

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Q: Which of the following is a general solution to the following: x²y" + xy' + (36x² − 1) y = 0 A. y =…

A: Solution:

Q: (b) Given the equation of the irregular curve of stream, y = 16x² sin (x). Approximate the stream…

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Q: Find the solution of the given initial value problem. 5y""+120y' 800y = 0; y(0) = 11, y'(0) = 26,…

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Q: 2 Find the limit infimum and supremum of 2 XA = √√√ 1+n² √1tn 2A-5 write the complete solution.

A: Limit infimum and limit suprimum

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Q: 3. In each of the following problems, determine whether the given function is periodic. If so, find…

A: To Find: (a) cos2πx (b) tan(πx)(c) sin(πnx/L)(d) x2

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Q: (a) To determine To compute: The initial value problem + 4x = sin 4t with initial conditions x (0) =…

A: The given differential equation is: d2xdt2+4x=sin4t, a) for x(0)=0, x'(0)=v0&gt;0 we have to find…

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Q: Use the method of reduction of order to find a second solution of the differential equation t'y" -…

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Q: Suppose T: M2,2→P3 is a linear transformation. Let A, B, and C be the matrices given below, and…

A: Suppose T:M2,2→P3 is a linear transformation. Let A, B and C be the matrices given below, and…

Q: Example 22 Matrix B shows the number of sightings of rare birds made by members of a birdwatching…

A: a. (i) Given  B=13342521135710P=1111Q=111 To find the product A=PB proceed as follows…

Q: • §. NJ e CASTZ ・dz, ci lz-i|=1.5 ans? m ***** của sinh

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Q: 5. Evaluate the following integratis. • $ +1 Z e CASTZ *the dz, C : |Z-il=1.5 ans? -uisinh/2/2 2…

A: To Evaluate: ∮Cezcosπzdz where C: |z-i|=1.5

Q: consider the curve formed by the intersection of the surface (x+z)^2+y^2 =9 and the plane x-2z = 0.…

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Q: Consider the following vectors: a = 5337 -3 Nº 71 = = For each of the following vectors, determine…

A: Given vectors are a→=53-3-1, b→=-501-1, c→=-5-672, v1→=1015-16-6, v2→=-503-2, v3→=75-2-2   To…

Q: (i) (ii) State the three physical interpretations of the divergence with a sketch of their vector…

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Q: Show that y" + ay' = b, wherein a and b are constants, can be reduced to y' =+ C₁e-ax using 2…

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Q: QUESTION 4 Suppose f is differentiable at a; set d(x) = f(x) - f'(a)(x - a)-f(a). What is d' (a)? O…

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Q: Find the limit infimum and limit supremum of the following. Write a brief and concise…

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Q: ● I=S dx z(20+2x)

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Q: Question 2 Given the function of two variables f(x, y) = -5x² - 2xy-8y²-8. a) [ Use Lagrange…

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Q: P = aLK¹-b a>0 and 0 < b < 1 dL giving the total production P from L units of labor and K units of…

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