Solve the BVP PDE: BCS: IC: u(x,0)=1,00 (0,1)=0, u(1,1)=0.1>0

Q: inverse Laplace transform of the following functions. (s + 1)e s s² (s - 1)* s-5 s² - 2s +5 a) F(s)…

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Q: Fiona has 5 albums in her Photo Gallery on her phone. Each album has 60 pictures. How many sets of…

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Q: 2 2 Sol _y(t) = x(t) @ h(t). = x(t) @ [s(t) = S(t+1)] - = X(t) Sit) - X(t) ⓇS(t+1). = X(t) = x (t+1)…

A: As per the question we are given the convolution function y(t) = x(t) * h(t) = x(t) - x(t+1) Where…

Q: Given the following system of equations a. b. c. x₁ + 2x₂ - 4x3 - X4 + X5 = 7 -X1 + 10x3 3x44x5=-16…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find F.T the: f(x) = 1 + cos (6πt + I) let: and 1-2T8 (W) Coswo T/S (W-Wo) + s (w+two)] Wo

A: As per the question we are given the Fourier transform of the following functions as : 1  →  2πδ(w)…

Q: What Hint: if you're confident, you can do this without integrating anything. O O is the complex…

A: Consider the given function, ft=cost Here we need to find the complex Fourier series without any…

Q: 3) State Gauss's divergence theorem and verify for the vector field F(x, y, z) = xyz + xj + (y −…

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Q: if f(z) analytic in |z| 2? f(z) = (z2 -1)/(z - sqrt(z2 + 4))

A: Given fz=z2-1z-z2+4fz=z2-1z-z2+4×z-z2+4z+z2+4fz=z2-1z-z2+4z2-z2-4fz=z2-1z-z2+4-4 So,…

Q: Given a > 0 real, evaluate the following limit: lim x→a √2a³x-x4-ava²x a-vax³

A: Consider: limx→a2a3x-x4-aa2x3a-ax34=2a3a-a4-aa2a3a-aa34=2a4-a4-aa33a-a44=a4-aaa-a=a2-a2a-a=00 This…

Q: 5.9 Find the smallest positive root of the function (x is in radians) x² cos √x = 5 using the…

A: Consider the given function, x2cosx=5 so, we can write, fx=x2cosx-5 We need to find the smallest…

Q: x-1 2 x² + x -dx

A: As per the question we are given an indefinite integral of (x-1)/(x2 + x) which we have to evaluate.

Q: b) 0 1 2 3 4 5 y 8 3 0 -1 0 3

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Q: The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities…

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Q: ree couples and two single individuals have been invited to an investment seminar and have agreed to…

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Q: Show that every subgroup H of the group G of index two is normal.

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Q: Does anyone use ratios in their workplace? If so, can you provide an example and explain how it is…

A: Yes, Anyone use ratios in their workplace.

Q: EX Prove that the directional derivative of f(x, y) = y² + 2xy³ + x²y² at point (0, 1) in the…

A: What is Directional Derivative: The directional derivative of a scalar function represents the rate…

Q: 3. W A. 43 ft B. 40 ft C. 80 ft 80 ft A bungee jumper leaps off a bridge 80 feet above the ground…

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Q: Show that every group G of order n is isomorphic to a subgroup of Sn. (This is also called Caley's…

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Q: 1.1 Consider the quadratic sequence: 8; 18; 30; 44;... 1.1.1 Write down the next two terms of the…

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Q: PROBLEMS ON SEMI RING AND MEASUREMENTS OF A SEMI RING: 20. If the outer and inner radii of a…

A: It is given that the outer radius of the circular path is 25 m and the inner radius of the circular…

Q: find F.T the: f(t) = 35gh (36) - FW let: 35gh (34) = 6 0/3 ju

A: What is Fourier Transformation: Integral transformations include Fourier transformations. It…

Q: Consider the unconstrained minimization problem minimize f(x) where f R²R is defined by : f(x) = x²…

A: As per the question we are given a minimisation problem with cost function f(x) And we have to prove…

Q: Find the indicated nth partial sum of (Sn) if the arithmetic sequence. a) -3 + -3/2 + 0 +…+30 b) u2=…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: Find g(5) given that f(5) -8, f'(5)= 9, and g(x) = 9 (5) 6 x 3x + 7 f(x) (Round your answer to four…

A: Given information  f5 =-8,  f'5 =9     and   gx =3x+7fx

Q: 2.1 Find the appropriate Lagrange interpolating polynomial using the following data table 0 0.5 1…

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Q: 11. Suppose we are given two functions f(x) and g(x) that satisfy the following conditions: f(3) =…

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Q: Determine the rank of A. A= 000 1 2 3 4 1 -1 5 -2 2 2 -2 -2 5 1 1 0 -12 9 -3 -1 1 1 7 -7 1

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Q: 3 If X(t) F.T. X(W) and XCW) = y(t) = x(2+-1) =it -j(w+1) w+1 Ans: Yow) = [4+ j(W+1)]² (2+jwj2 find…

A: What is Fourier Transformation: When it is needed to transform a real time signal into a complex…

Q: Let Z[i] = {a + bi : a,b ≤ Z}. This ring is called the Gaussian integers. Prove that Z[i]/(5) ≈…

A: x2+1=(x-2)(x-3) over  Z/5Z. and so by the Chinese Remainder Theorem…

Q: Find F.T the: f(x) = 1+ cos (6πt + I let: and 112T8 (W) Coswo- TT/S (W_W₁) + S (W+ wo) ]

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Q: Let S be the set S = {a+bk : a,b ∈ R}, where k is a formal symbol. Define addition and…

A: Let xy=ac+bd+ad+bck Then first we find multiplicative identity. Let x=a+bky=c+dk Then…

Q: Take non-zero positive integers m and n. Show that Z/mZx Z/nZZ/mnZ if and only if m and n are…

A: Given That:To take non-zero integers m and n .   ℤmℤ × ℤnℤ ≅ ℤmnℤ if m and n are relatively prime ,…

Q: 1. Explain the difference between the following terms. Provide an example of each type of sequence.…

A: "Since you have posted multiple questions, so we will solve only the first question for you."…

Q: Given that, Then G is a graph of Orden p and has Size greaten than (1/2¹) = P-1 G is connected. we…

A: Your solution is right.

Q: Consider p(x, y, z) = 2xyz - x²y³ v(x, y, z) = xy² + y sin(z) F(x, y, z)= F₂(x, y, z)i + F₂(x, y,…

A: Let F→=f1, f2, f3. The gradient of the scalar field: g is defined as: ∇g=∂g∂x i^+∂g∂yj^+∂g∂zk^. The…

Q: -심슨 (005년들 - 1) = 8월 (10000) cos 8A W²t W G(W) = -4A 84 w²z 2 sin we 4 AT sin we Wt 4 2 1 agctu 2A 를…

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Q: Let f(2)=³ and let C = {z € C : |z| = 1}, described in the positive sense. Determine the value of Ac…

A: Given that             fz=z4-5z2      and    C=z∈ℂ : z=1.

Q: find F.T the? f(t) = u(t) cos wot let u(t)= πS (W) + J W Coswot =TTES (W_Wo+S (W+wo

A: What is Fourier Transformation: Fourier transformation is categorized as an integral transformation.…

Q: In this exercise you will prove Theorem 5.3. So consider triangle AABC. Let PE Int (ZABC) and Q &…

A: Here we have given the triangle △ABC such that P∈Int∠ABC and Q∈Int∠ACB. We need to prove that…

Q: Use the properties of logarithms, given that In(2) ≈ 0.6931 and In(3) 1.0986, to approximate the…

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Q: x" + 2x' + 8x = 2e-2t - e-t,x(0) = 1, x'(0) = 0

A: Given differential equation is x''+2x'+8x=2e−2t−e−t and x0=1,x'0=0. We have to find the solution of…

Q: Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining…

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Q: 8. (a) Prove that if p and q are odd primes and q | a² - 1, then either q |a - 1 or else q=2kp + 1…

A: a) Given that p and q are odd primes and qap-1. So, ap≡1mod q If p=1 then  a≡1mod q So, qa-1 If p≠1…

Q: Use the accompanying Venn diagram, which shows the number of elements in region II to answer the…

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Q: Show that the limit of the function f(x,y) = at (0,0) does not exist. (x+y)² x² + y²

A: Limit of a Function: Like a single-variable function, a multi-variable function can also have limit.…

Q: A class of 30 students were asked if they studied physics or French

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Q: Let a, b, c € R. Given that the matrix a = type your answer... 1 + ai -2 -i b= -2 bi -2i+4 type your…

A: As per the question we are given a 3×3 matrix having complex elements, and the matrix is said to be…

Q: 84 3 40 127 300 35 23 58 102 19 97 485 26 72 Write the numbers in the correct places on the Carroll…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Below is an example of the border that the administration is thinking of using to surround a 6 × 6…

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