2. Heat is lost steadily through a 0.5-cm thick 2 m 3 3 m window glass whose thermal conductivity is 0.7 W/m•K. The inner and outer surface temperatures of the glass are measured to be 12°C to 9°C. The rate of heat loss by conduction through the glass is

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Q: let ( X Td)be Toplog9 me trics spaces the n EVery singteon set is closed set

A: Given that X,Td is a Topology Metric spaces.

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A: The solution is given as

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A: Given vectors are A = 1, 0, 2 and  B = 6, -2, 3

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Q: Question 7 Find the solution. (D² - 2D - 3)y = 0; when x = 0, y = 0, y'= 4 - 3x – e 2x A y = - „3x…

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Q: Question 12 Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(O) = 0 Find the general solution.…

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Q: dan Elimination. 1. x1 + x2 - x3 = -2 2x1 - x2 + x3 = -5 -x1 + 2x2 -3x3 = -

A: We solve this system of equations using gauss jordon elimination .

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Q: Consider the following bags each containing three marbles with colors white (VW), black (K), yellow…

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Q: Solve the given system of linear equations using the Elimination Method. 4.)     2x1 + 7x2 + 15x3 =…

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Q: f(x) = 2x5 + 15x4 - 3x3-4x2+ 7x+ 14 1)Trapeaoidal rule 2) Trape20idal rule with n=2 3) 1/3 Simpson…

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A: Given:c(t) = (t2 , t3-5t , 0)

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Q: Integrate f(x) from x = 2 to 8 using Three-Point Gauss-Legendre Quadrature. f(x) = 5000 + 24583x –…

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Q: Find the Laplace Transform of f(t) = cos? 3t (A F (s) 2 2+ 36 s 1 B F(s) s2+ 36 6 (c) F(s) = - s2+…

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Q: [2 1 11 b) Find the inverse of the matrix L = 3 4 1 with the determinant of the matrix L = -2. [3 2…

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Q: 4. Given the system dr -6x – y dt dy dt. 3x 2y (a) Find the general solution. (b) Find the solution…

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Q: (D3 - 3D - 2)y =0; when x =0, y=0, y' = 9, y” = 0.

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Q: Question 8 Consider the following IVP: x" - 4x' + 4x = 4e2t; x(0) = -1, x'(0) = -4 Find the general…

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Q: How many permutation of the letter ABCDEFGH contain the string ABC?

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Q: (D4 + 6D3 + 9D?)y = 0 Ay = (c,+c)x+(c3+cx)e* , 3x y = c,+c,x+(cz+c,)e* y = c,+c*+ -3x D +

A: Given differential equation is (D4+6D3+9D2)y = 0

Q: Consider the ordered bases B = ((-1,7), (1, –8)) and C = ((0, –2), (4, –3)) for the vector space R².…

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Q: (b) How to remove subtractive cancellation from the expression below: /20000. 0001 – V20000. 0000

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: Consider the following IVP: y' +y = e2t ; y(0) = 0 Find the general solution. 1 -211 A у () 3 21 B)…

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Q: Use the Gauss-Seidel method to find approximate solutions to -21 + 3x2 + 23 = 5 2x1 + 2x2 + 5x3 1…

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Q: The function f(x) =xe^3-x-3 has a zero value at x = 1.5052. Use the Newton-Raphson technique for…

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Q: Match the following definitions to the correct terms.

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Q: Find the solution. (x+e) dy - dx =0 (A y=ce" + ye B x=ce" + ye" x=ce + ye D y=ce" +xe

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Q: max2 =2%+31 -51y Sito XitXz tXg =7 メ2-5Y2+X フe メoxe F (usighe Using M-Eechnifue

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Q: Consider the IVP: y" + 9y = 40ex ; y(0) = 5, y'(0) = -2. Find the general solution.

A: Use the given differential and initial conditions.

Q: If A and B are n x n symmetric matrices, then AB is symmetric. A True В False

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Q: Which of the following is the general solution to the differential equation (x – 2y + 3)dx + (2x –…

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Q: If approximate solution of the set of equations, 2x+2y-z = 6, x+y+2z = 8 and -x+3y+2z = 4, is given…

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Q: Use the Newton Raphson Method to find the root of f(x) using 2.2 as the starting value of x. Iterate…

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Q: Find the Laplace Transform of h(t) = t? sin(2t) = ='s 3s2-4 A H(s) = (s2+4) 2 482 – 3 B H(s) =…

A:

Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: 2/3x1 - 1/4x2 + 5/8x3 = 0   1/5x1 + 2/3x2 - 1/4x3 = -7   -3/5x1 + 4/3x2 - 7/8x3 = -5

A: To solve the above system of equations we will write the given system in Matrix form then we will…