Let f:X->Y be a function between metric spaces (X,d) and (Y,d). Prove that f: (0, infinity) -> R, f(x) is not uniformly continuous.

Q: In the initial value problem, use the Runge-Kutta method with step sizes h=0.2, 0.1, 0.05, and 0.025…

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Q: 2.) (x +2y-1) dx - (2x +y - 5) dy = 0

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Q: 2a In R^ show that : 2 as 211x11² + 211|4|1²³ = || Xx+y|11² + 11x-y₁1² ( This is known a the…

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Q: "ind the family or vector-valued functions whose second derivatives dt² (-2 cos(t), 6). (Your inst…

A: Answer given below.

Q: Solve the linear equation: 5x + 6 = 4 − 2x.

A: Given Linear equations is 5x+6=4-2x We have to find value of x.

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A: Please find attachment

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Q: In the initial value problem, use the Runge-Kutta method with step sizes h=0.2, 0.1, 0.05, and 0.025…

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Q: Prove that for any two edges of a 2-connected graph, a cycle exists containing both of them.

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Q: A hand-held calculator will suffice for this problem, where an initial value problem and its exact…

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Q: solve the given initial-value problem. Q. x′1 =− 3x1+4x2, x′2 =− x1+2x2, x1(0)=2,x2(0)=1.

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Q: 3. Let T: R² → R2 be a linear transformation, and suppose [T], the standard matrix representation of…

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Q: Prove that, for any sets A and B, it is true that A∪(A∩B) = A

A: We will do it by two different methods

Q: X -1 Write the exponential equation that represents the situation Y 243 y = ____ _(_____)X

A: Answer given below.

Q: Determine the centroidal x-coordinate (in inches, round=off to 2 decimal places) of the plane region…

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Q: (c) For the solution that satisfies y(0) = -1, sketch the solution curve and estimate the following:…

A: For part (c) the initial value y(0)=-1.

Q: 12. A random variable X has the following probability function: 0 1 2 3 4 P(X-X) k 3k 5k 7k 9k Find…

A: (12)   ( i ) We know that the sum of probabilities for a probability function is equal to one .…

Q: 112 let the functional I (y(x)) = f^ (16y²_y"² x ²) ex, and the boundary Condition y(o)=y(x) = 0,…

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Q: interpret geometrically ||a||=1 in the transformation z -> az (z complex number)

A: Answer given below.

Q: 1: Describe the solid bounded below by the sphere x² + y² + z² = 10 and above by the cone z = -…

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Q: a) Find the general solution to: y" - 10y' + 25y = 0 Use ci and c2 in answer b) Find the solution…

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Q: Determine an equation of the line passing through the points A(4, −2, 3) and B(5, 1, 2). Determine…

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Q: Let -6 -4 -3 -2 -1 a. Graph u, v, and u + on the same coordinate grid provided below. (Note: It will…

A: Given vectors are u={-1,-5} and v={ -2,2} We have to find u+v and u-2v the we have to drwan graph…

Q: Let us assume that for some function f, we have f(0) = 4 and f'(0) = 5. Let F(x) = f(x)tanx. Find…

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Q: In Exercises 1 and 2, determine which matrices are in reduced echelon form and which others are only…

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Q: solve the equation differential partial uxx + uyy = 0,     0<x<2 y (0, y) = 0;    u(2, y) = y;…

A: To solve the Laplace equation

Q: (a) Find the exact value that √n-√n +2 converges to, or else conclude that the series diverges. n=1…

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Q: Write down four explicit both of vectors the following conditions: 9 V₁, V2, V₂, Vy ER² Any three of…

A: To Find: Vectors v1,v2,v3,v4∈ℝ4 such that it satisfies both of the conditions: (a) Any three of…

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A: Given line and planes are  x=y=z and z=33

Q: The total amount of consumer credit has been increasing steadily in recent years. The following…

A: It is given that x equal the number of years since 2000. So, x=0 for the year 2000.

Q: Sketch or describe the level surfaces and a section a graph of each function. -: IR³ →R, (x, y, z)…

A: Answer given below.

Q: Find the composed matrix for aligning a vector v along the unit vector j. Assume 3-D coordinate…

A: Given a vector v in the three dimensional coordinate system. And the unit vector j.   The component…

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Q: Problem 7: For the following matrix A, use diagonalization to find A" for any given positive integer…

A: A=6-34-1 Trace of A = 6 + -1 = 5 Determinant of A = -6 +12 = 6 Sum of eigen values of A = Trace(A)=5…

Q: The following three constraints have been determined for a graphical linear programming problem: 2x…

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Q: Use a truth table to determine if the argument is valid or invalid. Justify your answer. p → q  ~q…

A: This question from discrete mathematics related to topic Logic.

Q: 3. Determine whether the vectors u and v are orthogonal, parallel or neither. (show/explain your…

A: (a). Given ,  u = 2,3,-1 and v = -1,-1,-1 (b). Given , u = j + 6k and v = i - 2j -k

Q: Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is…

A: Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction, is…

Q: Explain why the correspondence x → 3x from Z12 to Z10 is not ahomomorphism.

A: We have to explain that: Why the correspondence x→3x from Z12 to Z10 is not a homomorphism.

Q: 2. Find the value of k if the following are probability density functions: (1) f(x)=k(1+x) 2≤x≤5 (1)…

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Q: -1 Evaluate the given limits using the graph of the function f(x) shown above. (x-2)(x - 6)² Enter…

A: given that f(x)=-1(x-2)(x-6)2  we have to find left hand and right hand limit at point x=2 and x=6…

Q: Let A = { n - m : neN, me N, m > n}. (a) Prove that inf A = 0. (b) Prove that sup A = 1.

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Q: The matrix 0 0 0 0 True 1 -2 0-1 False 1 2 0 0 3 -2 represents a system that has infinite solutions…

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Q: 4. Let X be a continuous random variable with probability distribution +k 0≤x≤3 otherwise f(x) 0…

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Q: 10. Let X be the set of real numbers, and let d be the pseudometric given by d(x, y) = 1 if ry, and…

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Q: D. Use the method of Lagrange multiplier to determine the absolute maximum and min- imum values of…

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Q: 13. Find the surface are of the part of z = xy that lies in the cylinder given by x² + y² = 4

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Q: Suppose that f(x, y) is a smooth function and that its partial derivatives have the values, fz(5,8)…

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