Using the Fourier integral representation of the function a, x < |k| f(x)= 0,X> |k| we find = S TT JO where a=9, k=1. sin ka α da = ....

Q: Question 5 y" - 2y¹ = 6 - 4x; y(0) = 2; y'(0) = 0.

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Q: Stokes’ Theorem for evaluating surface integrals Evaluatethe line integral in Stokes’ Theorem to…

A: The given vector function is F=x,y,z and the surface is upper half of the ellipsoid x2/4 + y2/9 + z2…

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Q: Use Lagrange multipliers to solve for the dimensions of a closed right circular cylindrical can with…

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Q: 1 Problem 1 Are the following statements true or false? If true, prove the statement. If false, give…

A: Given Data: Let us consider the given A∈Rn×n and aij denote the element in ith and jth column. Then…

Q: (A) Suppose R is the region in the second quadrant bounded by the circle x² + y² = 4, the lines y =…

A: Solve the following, Suppose R is the region in the second quadrant bounded by the circle x2+y2=4,…

Q: 2. Problem Do the following sequences converge? Explain your solution. (b) -5"+100m² 2" +5" (a) n³+n…

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Q: Q2: Find the solution of 143x³ + 22x¹ + 5x² + 3x + 1 = 0 (mod 11), if any.

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Q: 1.² T 20 40x-x² 9√x²+y2 dydx=

A: We have to solve ∫020∫x40-x29x2+y2dydxThe region bounded by0≤x≤20x≤y≤40x-x2⇒x=y and y=40x-x2squaring…

Q: Hello Dolly, Inc. crafts three styles of dolls: Lexi, Maysy, and Dizzy. Each doll requires sewing…

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Q: 1 1.3 1 Question 2. + + 3.5 1 5.7 + ... + 1 (2n-1) (2n + 1) for n ≥ 1

A: As per the question we are given the following series : 1/(1×3) + 1/(3×5) + 1/(5×7) + ... +…

Q: (a) Prove that any odd number greater than one can be expressed as the difference of the squares of…

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A: A null set is always a subset of every set. A set is always a subset of itself. Null set does not…

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Q: (b) P₂(−1) = (−1)n-1n(n+1) 2

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Q: If two events A and B are such that P(A) = 0.3; P(B) = 0.4 and P(A' B') = 0.5, then find the value…

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Q: 8. For a fixed frame F with X, Y, and Z-axes, if frame A is obtained by rotating the axis X for…

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Q: 2. Consider the initial value problem y(1) using 2 subintervals. dy -= 2y-4t, where y(0) = 2. Use…

A: Given that y'=2y-4t, y(0)=2, h=0.1 here we have to find y(1) using 2 subinterval. so, t0=0, y0=2,…

Q: Solve the following congruences. Make sure that the number you enter is ≥ 0 and ≤ N-1, where N is…

A: Note: “Since you have posted a question with multiple sub parts, we will provide the solution only…

Q: Use Newton’s Method to approximate the zero(s) of the function. Continue the iterations until two…

A: The Newton's method is an iterative technique to find the approximation of the solution of a…

Q: Exercise 2.20 Find the Fenchel conjugate for each of the following functions on R: (i) f(x) = ex. {…

A: note : Since you have posted multiple questions with multiple sub parts, we will provide the…

Q: When is the set {ue C[0, 1] | u(0) = a} a linear space?

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Q: 00 b) Σ n=0 n?3* In(n + 2) 22n+2

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Q: Use the composite Simpson's Rule [ (10+2 f(z)dz (lan)+4Σ(₂k-1) + f(b) to approximate 1+dz when r =…

A: Using calculator to evaluate the sum.

Q: on 2 Given the region D enclosed by y² = ²2 and x² + (y+6)² = 18. Sketch the region D. Set up the…

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Q: 4a. to get the dimensions of a closed right circular cylindrical can with the smallest surface area…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Question 4 a) let T - A = ( 21 ) and B= Calculate the products A₁ •B and B.A. and the determinant…

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Q: Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal…

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Q: 17. =- 18 6 Write an equation and solve. 18. The difference of double the number and one is…

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Q: e station had to deploy a police officer for an emergency multiple times in the last four evenings…

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Q: Modeling with a Differential Equation To lure depositors, banks offer to compound interest at…

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Q: 6) Without the aid of a graph, find the absolute maximum and minimum values of the function…

A: For absolute maximum or minimum  # verify that the function is continuous on the given  interval #…

Q: A certain province widely cultivates maize crops during the dry season. The average weight (in tons)…

A: It is given that the average weight is hx,y,z=240+y2ln2x-z-75z, where x is the average amount of…

Q: Find the equation of the pi containing the points A(0,0,0), B(2,0,-1) and C(2,-1,0) then find the…

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Q: Suppose that the marginal propensity to consume is dC dy and that consumption is $8.5 billion when…

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Q: 4. Find: (2+3i) 1-C 1 ti -i

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Q: Use complex analysis methods to find T = 6²² 5 I 2π cos 2x 5 + 4 cos x dx.

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Q: 4. Please answer with complete solution.

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Q: 3. y' = 2xy + 2y, y (0) = 3, Ax = 0.2 In Problems 1-4, use Euler's method to calculate the first…

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Q: K Use PMT= to determine the regular payment amount, rounded to the nearest dollar. The price of a…

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Q: When we studied prime numbers we looked at the Euler phi-function  ∅(n) = the number of integers…

A: Given: A = {the integers between 1 and pq which are divisible by p}. And |A| = q. Let B = {the…

Q: Use variation of parameters to solve the given nonhomogeneous system. X(t) = X' = 3 -2 2 -1 X + 6e

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Q: Let F be a field and let a E F with a 0. Using only the field axioms and the that multiplicitive…

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Q: Solve Fyy + 3 Fry + 2 F xx = -3x, F(x, 0) = x, dy F(x, 0) = 0. F(x, y)

A: Complete solution is given by complementary factor + particular integral.

Q: c) If Q is the number of units of products made (Quantity), then total cost function is C(Q) and…

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Q: Consider the linear system dx₁ dt dx₂ dt = 4x1 - 3x2 3x1 +4x2. 1. Show that upon conversion to the…

A: dx1dt=4x1-3x2dx2dt=3x1+4x2

Q: Perform the following congruence computations. Make sure that the number you enter is 20 and ≤N-1,…

A: (a) 5946+7925≡        mod 45⇒13871≡        mod 454530813871-13500371-360011∴5946+7925≡  11      mod…

Q: Find the positive real root of  ax3 - bx - c = 0 if a = 0.4, b = 5, and c = 9 using bisection method…

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