Find the innverse of the matrix b: 5 0 6 9 1 2 3 4 9 3 5 6 7 3 2 0

Q: classify the following PDES :- 227 дх2 -2 822 буду +2 82 дуг =X+3y 2 2 X ох Ихх - 2ху Иху +у Иуу e

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Q: 5 By Separation of variables, Solve the following PDES- ²4 . = 4 24 dx² dt² 0 o u(e,t) = u(s, t) =6…

A: For solving the coefficients use the Fourier half interval sine series

Q: 2₁ "+21y+8x=y" + 5y' + ex

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Q: Let xbe inner Product and ||x1|=|ly|| = 1 x+y Lix.y ? why?

A: Given that X is an real inner product space. x ,y be two unit vector from X then need to show that…

Q: TOA (c) Lett be a cofinite topology topology on a set of real numbers and A=(3,6,8) show that…

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Q: Find the volume of the solid that esults when the shaded region is evolved about the indicated axis.…

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Q: 5. The variables x and y are related by the following differential equation. dy x+y = dr x-y By…

A: Solution :

Q: find the Fourier series of half rang periodic function. f(x) = x|x| -π<x<π

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Q: 7. Alan has 20 ducks and goats on his backyard. The animals have 64 legs altogether, how many ducks…

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Q: Select the correct systems of equations. Which systems of linear equations have no solution? x+y+z=…

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Q: Solve the initial value problem. 4 -4 4 y' = 3 -3 - 10 2 15 y, y(0) 1 = 16 14 6

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Q: Matrix Representation of a Linear Mapping Consider the operator TE L(R²) (recall that an operator is…

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Q: U (x, g) = x₁ - (100 /g) price of whine is It of buile price of ice rink is 10€ square meters income…

A: let's understand it From step were equation is: ∑i=11000100g2=μ(g) and we know that, μ(g)=10

Q: It is known that the equation TL: R³ → R³ W₁ = x - 2y + 2z W₂ = 2x + y + z W3 = x + y a) Determine…

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: Solve the boundry-Valued PDE 24 = 4 ठेप by ulo¹y) = 8e³y using the genral method ans: u(x,y) = 8…

A: The given PDE is                                ∂u∂x=4∂u∂y with                      u(0,y)=8e-3y

Q: What is the negation of the proposition/statement: 10 > 14 ?   10 < 14   10 ≥ 14   10 ≤ 14   10…

A: Given, proposition/statement is 10 &gt; 14  We have to find negation of the given…

Q: Find Domain and Range Sove all points without leavin ℗ x + y² + Z 2 X+ 4+=+/-5 +2Z 3 Sin(x+3y) +2…

A: Domain is the set of points where function is defined. And range is set of images of function.

Q: By direct partial integration, Solve the following PDES 8- • Xd²z 5 4 dz ду z(x,0) = x² + x, Z (2,…

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Q: (4) Let K be integer ring module 12 and let I=([4]) and J=([6]) ideals of K. Then [2] belong to ...…

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Q: [2 4 11 Q1/ Find the determinant of the matrix 3 8 5 16 2 41

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Q: Solve for x the following inequality and show their solution set (x: x2-x-300)

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Q: 22 d'y dx² dy 7x- +16y=0 dx

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Q: (f) What is span(q, r)? (g) What is span(q, r, s)?

A: We have q=z2-1r=2z3-2s=z2-2z+1 All vectors are from vector space P3ℝ Solution f:…

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: hat is grap

A: First of all, in graph there should be one edge from a typical vertex to another vertex. In brief, a…

Q: Suppose that f: A → R is continuous at a number a E A with f(a) > 0. Show that there exist numbers L…

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Q: 4. Solve the following 2nd-order OPES (5 Steps) day - (22) + (4-1) dy dx² Y(0) = 4 , y(0) = 1 y cas…

A: We can solve this using euler method of second order differential equation

Q: 2 m Find the angle theta. a = 5. b = 3. im N 1m D

A: Solution:-

Q: Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

A: Given information is solid bounded by  z = 1-2y2 -3x2  and xy-plane.

Q: Jff v² av where D is the tetrahedron in the first octant bounded by the coordinate planes and the…

A: Let us consider the given integral I=∫ab∫f(x)g(x)∫p(x,y)q(x,y)F(x,y,z)dzdydx To solve the triple…

Q: Consider the region bounded by y = x², y = 2x Write, but do not evaluate, an integral to find the…

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Q: Solve the following differential equations, giving y in terms of x. dy (ii) (x + 1)- - (x + 1)5 =…

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Q: Graph each function over the indicated interval. X Г

A: 1. (a) Given,                    y=5x;     -2, 2

Q: UNA annetect in X show that Tivi is a connected set in a space Y. ) Let T be a cofinite topology…

A: If  X is a non-empty set, then the collection of subsets of X whose complements are finite along…

Q: 4 Find the general Solution of the following PDES -X • 3 Ux + 2 Uy =o UCX, O) =4e 2 (3y-2x)/2 ans-…

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Q: Let D30 (1,2,3,5,6, 10, 15, 30), and define a partial order on Dao by x ≤ y if 1 and only if a…

A: Given:   D30 = {1,2,3,5,6,10,15,30}

Q: • Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: Let p= "It is extremely humid." Let q= "It will rain tomorrow." Convert into symbols: a. "If it is…

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Q: (j) F= R, V = {vER: Un converges as n → ∞0}; (k) F= R, V = {v ER: un converges absolutely as n→ ∞0};…

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Q: Consider the following two player bi-matrix game 19 19 6 7 12 A = 2 14 16 6 B = (1₂ 0 -10 21 -8 -5 1…

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Q: For the following problems, find the general solution. 129. y”+5y+y=x+e 2x 130. y" = 3y + xe -X

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Q: f(t)-15e-3t = 14t S sen(tu)f(u) du 0

A: We have to find the solution.

Q: (a) Given A = use the Cayley-Hamilton theorem to find (1) A¹-3A6+ A¹+3A³-2A²+31 (ii) A¹, where k> 0…

A: (a) Given A=2011 To use the Cayley-Hamilton theorem to find (i). A7-3A6+A4+3A3-2A2+3I (ii) Ak, where…

Q: using Mathematica]

A: To prove that            ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1, y1 and x2, y2.

Q: Consider the following two player bi-matrix game /19 6 19 A 7 12 6 B = 8- (1/₂ -10 21 0 -8 -5 -9 1 2…

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Q: 1. Consider the differential equation: y" - 3y' + 7y = f(t), such that y(0) = 0 and y'(0) = 2. The…

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Q: 1-x² 1. The curve C has equation y = B (i) Express 1-x² 1+x² in the form A + where the values of A…

A: The given curve C is:                                      y=1-x21+x2

Q: 8. Let B₁ = {[2][¹₂]} and B₂ = {[2¹][3]} 2 i. Find [1] B ii. Find [1] B₁ B2 B₂-1 iii. Show that…

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Q: 5s² + 25-4 (5+1) (S+2) (S+ 3) Taking inverse Laplace transform

A: Solution :