Evaluate the Laplace transform of f(t)= sint ;0≤t< π 0 ; t > π

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A: Here (X,A)=(4,-1)  (X,B)=(-1,0)  So B is the best response for column player

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Q: Q2: Solve the given differential equation. a- Analyze the DE and visualize the solution (write the…

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Q: What is the graph's vertex set V? V = {EX: W, X |} What is the graph's edge set E? E = {Ex: {w, x},…

A: The set of all vertices called vertex set.

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Q: Solve the equation subject to the given conditions. d'y dy dx² dx -6y-0, y(0)-2, y'(0)-4

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Q: Use Stokes' Theorem to evaluate fF.dr where F(x, y, z) = zi − 3yzj+ xk and C is the boundary of the…

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Q: A math tee shirt business is expected to generate $39,000 in revenue per year for the next 5 years.…

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Q: olve the differential equation (D²-4)y=e^2x -4

A: (D²-4)y=e2x-4

Q: Consider F and C defined below. F(x,y,z)=xy i+ (1/3)x³j+xy k C is the curve of Intersection of the…

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Q: A system of linear equations in the variables x, y, and z is represented by the following augmented…

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Q: 2 4 d w 1 N 1 2 4 3 8. 1. List down the adjacent vertices of vertex 'c'. *Write your answer in…

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Q: a) Find an orthonormal basis of 3 [] 3} 8 W = span{ b) Find the projection onto W of the vector 1 B…

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Q: 2 1 4 b 3 d 1 2 5 2 4 3 f bo g 3 3 Longest Path: Shortest Path: *write your answer in this forma *no…

A: In that figure we find longest path and shortest path.

Q: The augmented matrix of a linear system has been reduced by row operations to the form shown.…

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Q: Determine all the points, nearest to the point (0.0.2) on the following graph: 3x^2 + 2y^2 -z = 0

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Q: Solve the equation. Give your answer in exact form. log4 (x+7) + log4(x-5) = 1

A: According to guideline we need to solve one question.

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Q: Let V be a subspace of Rn. Then show that dim V = n − 1 if for some a 0.

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: When you spent 16.6 minutes on the elliptical trainer and then did circuit training for 11.9…

A: Given: You spent 16.6 minutes on the elliptical trainer and then did circuit training for 11.9…

Q: i) [² (2² − 4) sin* (xx)dx, (ii) 1) *2+ cos z³dr, (iii) * sin ¹00 100 rdr, iv) ["* (3 – sin z)³ dr,…

A: We determine, which of the integral have largest or smallest value.

Q: Let N≥ 10 be an integer. An unbias of getting exactly 10 heads maximized

A: This is a question of finite math and counting

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Q: Evaluate by converting to spherical coördinates. The volume of the solid in the first octant bounded…

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Q: 3 For the work be, determine the shortest (1) 5 </

A: Given: Graph of the network is given. To find: We have to find the shortest path of the network.

Q: Let Describe all solutions of Ax = 0. x = x2 0000 +x3 A = 1 2 +x4 -4 8 10 8 -20 - 16 0000

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Q: Let F(x, y, z) = xzi+yzj + xyk, Surface S is the part of the sphere x² + y² + z² = 4 that lies…

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Q: 2-6 Use Stokes' Theorem to evaluate ff, curl F. ds. 2. F(x, y, z) = x² sin zi + y2j + xy k, S is the…

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Q: Z (z − 1)(2-z) Expand f(z) = - -; Iz-1|>1.

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Q: Given an undirected, weighted graph as shown below. Use Dijkstra's algorithm to determine the…

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Q: If f(x, y) = (3000 ey)/(1+x1/2) represents the population density of a planar region on Earth, where…

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Q: 2. Using program of choice, estimate the value of the following definite integral using a) the…

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Q: converge. k=2 k In(k) se a convergence test of your choice to determine whether the following series

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Q: Match each set of points that form a triangle in standard position with the points that form a…

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Q: The number (in millions) of employees working in educational services in a particular country was…

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Q: Evaluate the given integral by changing to polar coordinates. 11. cos(√x² + y²) da, where D is the…

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Q: For the following periodic function f(t) = π − |t| when − ë < t < ïî, find the Fourier series…

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Q: r(t) (i) (ii) (sint — tcost)ī + (cost + tsint)j + 2t²k, answer each of the following: Show that the…

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