. A finitely additive measure u is a measure iff it is continuous from below as in meorem 1.8c. If µ(X) <∞o, u is a measure iff it is continuous from above as in

Q: 3. Let A={n €Z, 2Z). Prove or disprove: For every n E A we have n² = 4.

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Q: E Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [ 4³…

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Q: Use the method of Lagrange

A: Given the function                  f(x, y, z)=x2+y2+z2 with the two constraints…

Q: 2) Let V₁, V2, W be vector spaces over F. Show that the set Bil(V₁ × V₂, W) of bilinear maps is a…

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Q: Evaluate the iterated integral below. π 1 S. *S'y cos (x) dy 0 0 dx

A: Here in above question we have to find iterated integral.

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A: Here we use the formula of area of triangle. First we differentiate area with respect to time and…

Q: answer

A: Simple intrest 263.72

Q: The spheres x² + y² + z² = a² and (x − b)² + y² + z² = (b − a)² are tangent at the point ○ (−6, 0,…

A: You have posted multiple questions , As per our policies answering first question.

Q: . Represent the following sets in the Gaussian plane: (a) {z EC Rez 2 A 2-1+2i <3}

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Q: Determine whether the following series converges. Justify your answer. 9 Σ (COST-COS 15) k+4 k+5 k=1…

A: Introduction: A telescoping series is one that reduces to a predetermined number of terms when its…

Q: Which of the following represents the area of the surface cut from the plane z = ax + by by the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 8. min 3x1 + 4x2 + 6x3 +7x4+x5 2x1x2 + x3 + 6x4 5x5 6 x1 + x2 + 2x3 + x4 + 2x5 2 3 1, 2, 3, 4, 5 2 0…

A: given system min  3x1+4x2+6x3+7x4+x5         2x1-x2+x3+6x4-5x5≥6         x1+x2+2x3+x4+2x5≥3…

Q: 3) Prove that the multiplication map · : Z/nx Z/n → Z /n given by [x] · [y] = [xy] is well-defined.

A: To prove that the multiplication map · : ℤn×ℤn→ℤn given by    x·y=xy  is well-defined.

Q: As part of an annual fundraiser to help raise money for diabetes research, Melissa joined a…

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Q: DISCRETE MATHS (GRAPH THEORY) Based on the images attached, determine whether the following graphs…

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Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

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Q: 4. Let S5 denote the symmetric group on the 5 letter set > let be elements of S5. -1 - (92234)…

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Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = xn 1.3.5. .... (2n-1) Find the…

A: Given series is ∑n=1∞xn1·3·5·...·(2n-1)

Q: Determine whether the following sequence converges or diverges. If it 21n+(-1) 7n {an} = Select the…

A: The given sequence is 21n+-1n7n Find limit if the limit n→∞ exists then it is convergent else…

Q: Solve the following quadratic equations ( hint use the quadratic formula) a) 2x2 - 5x – 12 = 0…

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Q: Using polynomial interpolation, find roots of the following functions: f(x) = cos x - x

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Find the equation of the tangent line to the common curve of the two surfaces with equations z = x²…

A: Please check step 2 for solution.!

Q: Use the Jacobi iteration method to obtain the solution of the following equations: 6x₁-2 x₂ + x3 =…

A: We know that the Gauss Jacobi method is an iterative technique to find the solution of the system of…

Q: By integrating surface element of a sphere, find area of a strip on the surface of a sphere from 8=…

A: To Find: Area of a strip on the surface of a sphere from θ=45° to θ=135°, where Radius of the sphere…

Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: Evaluate S X 2 ex² D dx

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Q: At noon, ship A is 20 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship…

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Q: 1 3 4 A f(x) = + 6 66 7 a) The graph of f(x) is given. Input the equation of f(x) below: 66 b)…

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Q: The well-known formula for calculating the sum Sn of the positive integers from 1 to n was already…

A: we have that  Sn2=1·1+2·2+1·3+2·4+....+1·n-1+2·n (a) find an explicit formula to calculate this sum…

Q: Exercise 11. Let f : I → R and a, b € I, a 0, f'(b) > 0 C₁ C₂ C3, f(c₂) = 0, f'(c₁) = f'(C3) = 0

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Q: Find two unit vectors orthogonal to both (2, 3, 1) and (-1, 1, 0). LO î + 27 (F (smaller i-value) î…

A: Use the given information.

Q: Let f(z) be a rational function with no poles on the positive real axis, and suppose that lim Pf(z)…

A: As per the question we are given an importer integral and we have to find a generalized formula to…

Q: Let f(x, y) = g(x) + h(y) where g(x) and h(y) are positive. If g(xo) ≥ g(x)and h(yo) ≥ h(y) then…

A: Thus the given FIRST statement is TRUE.

Q: Exercise 12. Write the Taylor expansion of function f order n at xo given below. 1+e-1/2² (a) , n =…

A: Hi! As per norms, we are answering only the first three subparts. If you need an answer to others,…

Q: 10) consider the system x'=-3x+y, y'=2x-y-sx² a) Find all stationary points b) Find the jacobian…

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Q: 16. Let Q = {x € Q 1 x # 0} denote the multiplicative group of non-zero rationals. Determine whether…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. consider the differential equation = (y-2) (4 Q. Determine all stationary solutions and sketch…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: y² 13. The points (x, y, z) in a bowl-shaped region D can be described by the inequalities x² + z² ≤…

A: Given : bowl-shaped region D can be described by the inequalities      x2a2+y2b2-z2≤1  and  0≤z≤3 To…

Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

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Q: Exercise 2. Solve the optimal control problem: Answer: KDİ (2y(t)-u(t)) dt 0 max() st. y(t) =…

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Q: If f(x, y) = 2x² + 5y² and u is the unit vector in the direction of T which of the following…

A: Given f(x,y)=2x2+5y2 u⇀ is the the unit vector in the direction of π6. So,  u⇀=cosπ6,sinπ6=32,12

Q: Find the radius of convergence, R, of the series. x4n n (In(n))² R = 8 Σn n = 2 Find the interval,…

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Q: - Given the following two fuzzy sets: tall = 0.2/4.0 +0.4/4.5+0.6/5.0+ 0.8/5.5+0.9/6.0(in feet)…

A: Given that: Two fully sets, tall=0.24.0+0.44.5+0.65.0+0.85.5+0.96.0…

Q: 3 A ITI system is described by the D.E. Y +6 Y+8y=2XL) -2t find h(t) then find y(t) if X(t) = te²t…

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Q: Find all the critical points and the absolute extrema(absolute maximum and absolute minimum values)…

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Q: X/10) = X1W) = ~2²02 [ 1-jsin (20)] 2 42 + 2 j sin (26) -2 - 62 2 W2 + + W2 4) X 20 sin (26) 2 W…

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Q: X = [(P→Q)^(P^Q)]

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Q: Find the solution of the given initial value problem: y"+y' = sec(t), y(0) = 11, y'(0) = 5, y'(0) =…

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Q: You can afford a $1400 per month mortgage payment. You've found a 30 year loan at 8% interest. a)…

A: Given that pmt = $1400 t = 30 years r  = 8% = 0.08 One year has 12 months so n = 12 Let P0 is the…

Q: 2. A = ¬{¬[(¬P → Q) ^ R] v ¬Q} ↔ (Q ^ R)

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