prove that le besque outer mea sure pt is countably Seb-additive.

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A: Introduction: The unit step function is expressed as un=0, n<0=1, n≥0 This function is very much ...

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Q: Consider the function f (x, y) with level curves as shown below. At the point P are two vectors j an...

A: Given: A function fx,y with level curves as shown in the given figure. Two vectors v→ and w→ at the ...

Q: Diagonalize the matrices in Exercises 7-20, if possible. The real eigenvalues for Exercises 11–16 an...

A: Given that 20-2132003 is a 3×3 matrix.  

Q: In the Malthusian model, population grows exponentially while food production grows linearly. For th...

A: It is given that, Current population is 889 Growth rate is 7% Population at subsistence level is 112...

Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

Q: 1 xS dx i+x²+1) dx 3 x(x'+2x+ 1) dx

A: Note:- As per our guidelines and due to time limit, we can answer the first three sub-parts of this ...

Q: In Exercises 3 and 4, use the factorization A = PDP-' to com- pute Ak, where k represents an arbitra...

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Q: 1. Factor fully. a) 60х - 10х — 150 b) 12km – 72k – 5m + 30 16у' - 1 d) 49 — у' + х* 2 - 14х

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Q: Let F = . Use Stokes' Theorem to evaluate curlF · dS , where S consists of the top and the four sid...

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Q: Question 5 Find the order and degree of the following differential equation. 8 4 ду = cos X + (əx² ə...

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Q: A manufacturer receives parts from two suppliers. An SRS of 400 parts from supplier 1 fınds 20 defec...

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Q: 7. Give an (i) a non-planar graph that is not homeomorphic to K5or K3,3 example of

A: We can solve this using definition of planar graph 

Q: 1. ( Prove that for any x, y E R, we have || - |y|| 1, then X¢ PQ, 5. where PQ is the line segment ...

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Q: Find the Taylor polynomials of orders :0,1,2,3, and 4 about x = x0, and then find the nth Taylor pol...

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Q: If possible, use at least three strategies to solve each of the following problems. At least two of ...

A: Observe the number of toothpicks in each case.

Q: If X is a binomial random variable, compute the probabilities below: (a) X - Binom(8,0.4) P(X 3) %3...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...

Q: Another model for a limited population is the so-called Gompertz function, which is a solution of th...

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Q: 2. Let W be an (n – 1)-dimensional subspace of V. Show that V has a basis B satisfying Bn W = Ø.

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Q: 1. Find the values of constants in the equation below As + B + - Ms + N 2.

A: Introduction: When a rational expression is divided into the sum of two or more rational expressions...

Q: Q6) Find y' for the following: 1. += 1 y 2 2. хз — уз — у %3D1 - уз — у %3D 1

A: 1. Write the equation in terms of y.

Q: one of the More important the orem {n real analysis is faton's Iemmar state the lemma aud say some t...

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Q: docs google.com 10- [P+1(7) – P1(z)] dz = 1 forn = 0 0. %3D O 1,u 2n + 1 O 2,i 3 20-*

A: Introduction: The Legendre polynomial function is the solution of the differential equation 1-x2y''-...

Q: If X ~ Binom (n, p) is a binomial random variable, compute p(X = k) for each of the following cases:...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: ) Assume (XA) is a Eagebra ond ld ycx be an anbitrary subset. Show that the Family of sets Bi=}unylu...

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Q: Example:

A: (a) Given,            32×76=

Q: Suppose that population of the world now is 6 billion and that its doubling period is 35 years. (a) ...

A: The exponential growth of a population can be modeled as Pt=P0ert Where Pt is the population size af...

Q: Cost to Rent a Local Moving Truck (in U.S. Dollars) 140 120 100 81 80 72 63 60 54 40 20 10 20 80 40 ...

A: Apparently if we extend the line , we can reach  100miles when the cost is around 135 us dollars.

Q: 2. g(x) = 2-v4+3E Values of x from g(x) Values of x from g(x) the right of -1 the left of-1 0.5 -0.5...

A: Given: g(x)=2-4+3xx To evaluate: The given function at indicated points and then find left and righ...

Q: Ql find chromatic number of

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Q: QUESTION: Let U be a finite dimensional vector space over F with basis By : U1,….., Up. Let SE L(W,U...

A: Given U be a finite dimensional vector space over F with basis u1,…,up. Let S∈LW,U, where W is a vec...

Q: [ Question 1] The function f(t) is defined as f(t) = {," le-2t t>0 otherwise Compute the 1-norm, 2-n...

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Q: Question 1 Let f (x, z) 4xz - 2x + and g(x, z) = 3x-z+ 2xz - 6. %D Find: af(x,2) blank 1: дх evaluat...

A: f(x,z)=4xz3-2x+1z,   g(x,z)=3x-z+2xz-6  

Q: a) Solve the following linear equation by Cramar's rule:- - y+ 2z = -4 x + y - 4z =-6 x+ 3y – 4z = 4

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: Find the solution of the following second order differential equation d²y(x) dy + x +x2 y(x) = 0 dx2...

A: Given: The second order differential equation, x2d2ydx2+xdydx+x2y=0, where y=yx   To determine: The ...

Q: Given U = 8 and the bearing of the vector is N60°W, find the EXACT components of the vector U. Give ...

A: Introduction: If a vector makes an angle with the positive x-axis, then, it can be decomposed into i...

Q: Compute the dissimilarity matrix for the following objects name sex colour character Bella F red tam...

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Q: 8. The statistical measure that indicates how measured data vary from the given mean value of that d...

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Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that x" > y

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Q: 9-12: Use the approximate doubling time formula (rule of 70). Discuss whether the formula is valid f...

A: Solution :-

Q: Ethan collected 583 stamps. His sister collected 137 stamps. Together, they put 250 and of their sta...

A: Ethan collected 583 stamps. His sister collected 137 stamps.  Together, they put 250 and of their st...

Q: So you think a gallon of gas is expensive? Take a look at the items below and their prices. Comparis...

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Q: 1 u (-y°i +x rmal vector to

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Q: dy \ Find for dx et dt

A: In this question, the concept of the fundamental theorem of calculus is applied. Fundamental Theorem...

Q: - Part 1 Graph and shade the points (if any) that satisfy the following system of linear inequalitie...

A: First, we have to make a table for each inequality and then plot the points from the table on the gr...

Q: I. Determine whether the following statements uses Inductive (1) or Deductive (D) reasoning. 1. It's...

A: Inductive reasoning: A general conclusion is drawn from a number of observations.   Deductive reason...

Q: As part of his summer job at a restaurant, Bren learned to cook up a big pot of soup late at night, ...

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Q: Exercice 3 : Solve the first order PDE: Uz + 2u, + (2r - y)u = (2a +3xy-2y)(x+2y) %3D

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Q: Find if converging or diverging using telescoping test

A: We have to find either the given series is convergent or divergent