Prove that the function f(x) = Root3(x) is uniformly continuous on [−1, ∞). (Hint: consider the sets [−1, 1] and [1/2, ∞)

Q: Consider the following Normal form game : R G A 5,10 |5, 3 3,4 N |1,4 |1,2 7,6 M 4,2 8,4 3,8 D 2,4…

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Q: (a) Let m be a positive constant. Calculate the Fourier Transform Ü(§) of e-m|x| U(x) x E R³. |x|…

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Q: 1.5 3-x Q1) Evaluate the integral * dy dx using polar coordinate

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A: Here The second method gives the correct result for an initial guess of less than one.

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Q: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

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Q: Answer the following awestion below algubra multiple-chaice #21. the charncteristic polynomial of a…

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Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x + y Subject to: 2x +…

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Q: Q2\A\\ ( Use the Integral Test to determine if the following series is convergent or divergent, (two…

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Q: ter performing the calculations, swap the order of integration and count the integral again.

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Q: 1. Use the algorithm for sketching rational functions to sketch the following curves. (x-3)(x+1)…

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Q: ... 4 B = (-1,4) A A = (1,0.25) %3D -4 -3 -2 -1 2 3 4 5 A y= - 4× y=4-x O f(x) =| D y=4•1*

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Q: Az + 2xy²)dx + (cos y + 2x²y)dy = 0

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Q: Compute the line integral -xdy + ydx 2(x-y)2 +4xy where L is the circle (1-x)2 + y2 = 3 with a…

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Q: 1. Let f : Z6 → Z6 be such that f(a) = x2 + 3. (a) Is f a well defined function? (b) Is f…

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Q: Solve the problems below: 1. Find the positive real root of f(x) = x* - 8x²-35x? + 450 x - 1001…

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Q: 2. Let X = R² – (0,0) and ~ be defined over X by setting x~y + y = tx Given a equivalence class [a]…

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Q: Using the following election preference table for candidates: A B, C, D, does any candidate win by a…

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Q: Solve the following Cauchy problem: Uz + 2xuy – u = x + 3ye" with u = 2x – 1 on y = x2 – a

A: We are given the following Cauchy problem:        ux+2xuy-u=x+3yex with u=2x-1 on y=x2-x. So, the…

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Q: Final the complement afthe graphs in fig-1-34 figti3t

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Q: minimize [f1(x) = 5x1 – x2, f2(x) = x1+ 4.x2| subject to -51 + 2.x2 3 X1 + 2x2 > 4 X1, X2 > 0 Draw…

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Q: (x – 2)² – In x = 0, [1,2]

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Q: Solve the initial value problem y"- 8y'+52y = 0, y(0) = 1, y'(0) = -3.

A: Note: We are allowed to solve one question at a time. Use the given differential equation.

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Q: 23 +5 z 1 Enter the value of 2 and of the derivative at that point, in the form æ2f'(x2). (d)…

A: Given :   f(x) = x3+5,x<17x-x3x≥1 To find :  (a) To find the critical points of f(x).…

Q: The length in meters of the four sides of a building are 3x, 6x - 5, 9x, and 4x + 1. (a) Calculate…

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Q: 1. рV(~ р@9) p p (~p q) F F F F >

A: The truth table is given below.

Q: Let X be the graph of f(x) = x-1s given below

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Q: For the given matrices, verify directly that (RS)*=S*R* and (EP)*=P*E* 3- 2i 2 + 3i 1-i II. E = P =…

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Q: Differentiate Numerical Methods and Analytical Methods

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Q: Find laplace transform of x" + 3x' + 2x = t(e^(-t)) Where x'(0) = 0 , x(0) = 1

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Q: (a) Give an example of a continuous function whose derivative does not exist at x = 0. (Hint: this…

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Q: f a baseball player has a batting average of 0.255​, what is the probability that the player will…

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