؟ - ؟ - A = If A is orthogonal, what must x equal? Answer: √2 ال است - اة - أي اه اه الله √√x √3

Q: GROUP holds four properties simultaneously: i) Closure, ii) Associative, iii) Identity element; and…

A: (1) For integers ℤ  under addition,let a, b, c ∈ ℤ(i) Closurea+b ∈ℤ  ( since sum of integers is…

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: Solve the following PDE (Paryial Differential Equation) for t > 0. Express the final answer in terms…

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Q: Use the Euler method to solve the following equation analytically for five iterations. Given that…

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Q: Use Laplace transform to solve the partial differential equation: o'y dy = dx² dt -+xt where y(x,0)…

A: Consider the given partial differential equation, ∂2y∂x2=∂y∂x+xt where yx,0=0, y0,t=0 and t>0,…

Q: Evaluate the following integrals: Find the area (set-up the definite integral only) of the given…

A: The solution is given below

Q: Find the basic solution for the following (T. d the optimal solution. 4 1 2 6 9 100 4 3 5 7 120 2 6…

A: Check if the problem is balanced by finding the sum of rows and columns 100+120+120=340…

Q: Find the optimal solution of the following (T.P) by using Least-Cost method. 6 40 50 70 90 90 100…

A: Given,   W1 W2 W3 W4 W5 supply F1 (4) (1) (2) (6) (9) 100 F2 (6) (4) (3) (5) (7) 120 F3 (5)…

Q: How many 9-bit strings start with 101 or end with 10 or both?

A: There are 9-bits, and we start with 101.It means there are 6 remaining bits.Therefore,there will be…

Q: Suppose you are running a factory, producing some sort of widget that requires steel as a raw…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: prove that every subset of negligible. set is negligible.

A: I have used definition of negligible set.

Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: Euler Graph - A connected graph G is called an Euler graph, if there is a closed trail which…

Q: Test the convergence of the following: 1- a. -(3n+1)*

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Q: ) Solve by using Laplace transform the partial differential equation 8²y 2², =9. dt² Ox² y(0,t) = 0,…

A: Solution :-

Q: Activity 4: Let's do this Logistic Growth dy Let y = f(t) be the size of a certain population at…

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

Q: If ƒ (0) = 1, ƒ (1) = 2, ƒ(2) = 33, f(3) = 244. Find a cubic spline approximation, assuming S" (0) =…

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Q: Place the numbers 2 to 10, inclusive, in the magic square so that the sum of the numbers in each…

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Q: GROUP holds four properties simultaneously: i) Closure, ii) Associative, iii) Identity element; and…

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Q: Prove that (n!)! is divisible by (n!)

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Q: So whats the final answer, whats the final unknown value?

A: Solution

Q: Find the maximum and minimum values of x^2 + y^2 − 2x − 2y on the disk of radius √ 8 centered at the…

A: Given function is  fx,y=x2+y2-2x-2y where bounded region is  x2+y2≤8.

Q: Three points represented by complex numbers a, b, c lie on a circle with centre as th TI

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Q: 7. Given f(x) = 6x²+2x-5 and g(x) = 6x²+3x+1. Evaluate (f-g) x.

A: Here given that                           f(x)=6x2+2x-5                 and   g(x)=6x2+3x+1 We have…

Q: 10 A graph of f(x) is shown above. Using the geometry of the graph, evaluate the definite integrals.…

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Q: Minimize f = x²+x+60x, subject to the constraints 8₁x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A: Minimize :  f = x12 + x22 + 60x1subject to ,    g1 = x1-80≥0                        g2 =…

Q: 1.a) Apply the Trapezoid and Corrected Trapezoid Rule, with h=, to approximate the integral ₁³e-2x²…

A: 1. a) Consider the given integral, I=∫13e-2x2dx, with h=18. The trapezoid rule states that,…

Q: For a data set of size 10, the highest order of a polynomial that could be fitted using Least…

A: Last option is correct i.e. 9

Q: Compute the trigonometric functions of the complex numbers cos(5+ j8) tanh( 0 – j8)

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

A: Solution

Q: 4) Find the largest eigen value for the matrix 1 ^-['s 2] wi A= with x (0)=(7/17_1) 54

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Q: In Exercises 29 and 30, a floor plan of a museum is shown. Draw a graph that represents the floor…

A: Let the rooms be a,b,c,d,e,f,g The floor plan can be made as follows.

Q: For X and Y normed linear spaces, let {T} be a sequence in L(X, Y) such that Tn →T in L(X, Y) and…

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Q: (ylny – e¯xy)dx + ( + xlny) dy = 0

A: Solution :-

Q: 5 balls are to be placed in 3 boxes. Each box can hold all the 5 balls. In how many ways the balls…

A: Solution :-

Q: p²/ f(x)= x²³_ +|x x +2. show that f(x) & between хбо a root has 1.4 and 1.5.

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Q: While walking in the country you count 38 heads and 112 feet in a field of cows and ducks  how many…

A: Solutions

Q: The lifetime in hours of a transistor is a random variable having probability function given by…

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Q: /Solve the following Assignment problem using the Hungarian method.. 12 3 4 5 J1 83 7 6 2 J2 51 514…

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Q: 6. Determine the Poisson brackets formed from the components of the angular momentum L.

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Q: A regular die has six faces, numbered 1 to 6. Roll the die six times consecutively, and record the…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 9. B C C A D D A B

A: Degree sequence for the first graph and second graph are respectively 2, 3, 2, 3 and 2, 3, 2, 3.…

Q: Q3) A building was photographed using an aerial camera from a flying height of 1000 m. The photo…

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Q: Calculate 2510 S. S. S. 2² r dz dv db (volume of D)

A: Triple integration

Q: Use separation of variables method to solve the partial differential equation: du d²u du(x,0) = +u…

A: Given Partial differential equation (PDE) ∂u∂y=∂2u∂x2+u Given, Initial conditions u0,y=0 and…

Q: z+y <=0. (a) Using - definition, show that lim (a)+(0,0) 2²+ y² +1 [2²sin +3² sin, (2, 3) (0,0) (b)…

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Q: Evaluate So ·∙log 1+ax 1-ax (: ( dx x√√1-x²

A: A very good problem. This problem illustrates the power of differentiating under the integral sign.…

Q: (a) Consider the feasible region in R² shown below (the red shaded region). 10 x+y=8 x+y=2 -3x - y =…

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? 1.2 1.7 1.5 0.4055…

A: Given:− To find: f'(1.5)

Q: Caitlyn sells her drawings at the county fair. She has portraits and landscapes and she is required…

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Q: Find all possible values of a e and Iz+2a-(a + 1)i> 3 simult

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