What are the significant implications or consequences of the completeness of R?

Q: Let f : A → B. Then 18f = ƒ and ƒ1a= f. Hint. You may use the fact that fg, for functions f, g, mean...

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Q: Find the domain and range of the relation. Use interval notation where appropriate. Express numbers ...

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Q: f(t) = u(t)+ (sint- 1) u(t- -))-(sint + 1). 미t +u(t – 27) %3D

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Q: ite out the first five terms of 1. Evaluate the Tavlor Series for f(x) = x3 – 10x² + 6 at x = 3. Tay...

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Q: Define g: R→Z by g(x) = [x+x (g(x) = ceiling of x plus floor of x), where Ris the set of all reals a...

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Q: X1 6. X1 Let T : R? R- be defined by T X2 7 For which of the following bases B is [T']B a diagonal m...

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Q: Write the finite difference approximation of utt- Uxx 0 used to solve parabolic PDES. %3D

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Q: Solve the system of linear equations using naïve gaussian elimination 2x+3y-z=1 x+y-z=0 5x-y-2z=1 Wh...

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Q: Express the following in the form :+ ib. (a) log(e³-i) (b) (1 – i)3+i

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Q: A small country with a population of 7,000,000 consists of four states, A, B, C, and D. There are 14...

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Q: To pay for his debt at 12% compounded semi- annually,Analuz arwena commuted for 8 quarterly payments...

A: Given interest : 12 % compounded semi annually. Total quaterly payments = php 24,491.28 To determine...

Q: 2. Determine the Laplace transform of the following functions. Here you may use common identities an...

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Q: In order to save for her high school graduation, Ruby decided to save Php 200.00 at the end of each ...

A: Given, periodic payment is P=200 interest rate R=0.1212year-1 number of years is B=6 and number of p...

Q: (2) Let T : R² → R´ and S : R´ → R³ be linear transformations defined by T x + y x2 2.x1 13 + 15 and...

A: The linear transformation is defined as T:ℝ2→ℝ5 and S:ℝ5→ℝ3, where Tx, yT=yxyx+yx-y and Sx1 x2 x3 x4...

Q: Show that 1) The columns of a (row-reduced) echelon matrix that contain the non-zero pivots are line...

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Q: 2. Let y be the curve in R3 given by t (t, 2 cos t, 2 sin t) for 0 <t < 4n. Compute ds

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Q: In R' you are given the vectors . а — (-21, -6, —3), and • b = (7, –23, – 15), and If q = (-147, 108...

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Q: {(a, b) acb, a and b are finite set of integers}

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Q: a) Find C and k that show 8x? + 5× is O(x?). Show your algebra reasons. b) Use proof by contradictio...

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Q: If u- i+ j+ k, v= 10 i +4j+6 k, y w= 8 i+9j+7 k, evaluate the dot triple product (u x v) - W. 86 -10...

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Q: Find y as a function of x if x?y" – 2xy – 40y = 0, y(1) = 7, y'(1) = -5. y =

A: We have to find the solution of differential equation.

Q: (d) How many solutions does the linear system BX = A have? (e) Solve BX = 0. (f) Solve BX = A with A...

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Q: A small country is comprised of four states, A, B, C, and D. The population of each state is given i...

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Q: An annuity-immediate pays 20 per year for 10 years, then payments decrease by 1 each year for 19 yea...

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Q: 2. Let E be the part of the cylinder ² + y² = 9 lying between z = 1 and z = 2, oriented using the ou...

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Q: Let i = [1 -4] and y = [4 -6]. Find the following vectors. i = 57 ü = 2g =| w = 5i + 2j =||

A: The solution is given below:-

Q: 4. Assume y(x) : = ea" cosBx is one of the solutions of the DE у3) — Зу" + 7у - 5у —D 0. Then a + B ...

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Q: A small country with a population of 8,000,000 consists of four states, A, B, C, and D. There are 20...

A: Given- A small country with a population of 8,000,000 consists of four states A, B, C and D. There a...

Q: 1. Give an example of a function that is one-to-one but not onto. Give an example of a function that...

A: We have to give an example such function.

Q: ) Let A, B be matrices with real coefficients. (a) Find A and B such that AB is defined and BA is no...

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Q: Given the following systems of equations: 2x+y+z=7 2x-y+2z=6 x-2y+z=0 Ly=B What is the value of y?(U...

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Q: Question 4 Answer and give a brief (1-2 sentence) explanation for each of the following questions. n...

A: (a) Here given limn→∞Sn=3 where Sn=∑n=1nan is the sequence of partial sum of series ∑n=1∞an.  

Q: 2. Laura owns and ope the sale of x cases a a. The company will sell in order to bre sentence with p...

A: This is a problem of application of differential calculus.

Q: Test the series for convergence or divergence using the Alternating Series Test. (-1)" - 1 Σ 4 + 7n ...

A: Questions from alternating series.

Q: 9- -6 -3 -1 -2 -3- Find the parametric equations for the graph shown above given that when t = 0 the...

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Q: By using Doolittle's or Cholesky Decomposition method X1 + x2 + x3 = 5 X1 + 2x2 + 2x3 = 6 X1 + 2x2 +...

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Q: 11. Describe and correct the error the student factoring. x2 - x - 2 = 4 (x - 2)(x + 1) = 4 x - 2 = ...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: Use inductive reasoning to predict the most probable next letter in the list.., H, I, M, N, R, S, O ...

A: Observe the pattern 

Q: Q1. The region R is bounded by the x-axis and the curves y = x2 and x2 + y? = 2. Sketch the region a...

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Q: Create three non-empty sets A, B, C, that show this statement is FALSE: For all sets A, B, C: A- (Bn...

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Q: 1. The monthly sales (in thousands) of burgers (B1) and bites (B2) in three fast-food restaurants (R...

A: a) The sales in the months of January and February in the matrix form are represented as:Matrix repr...

Q: 1 3 a Let W Span 2 7 If W- = Span b -3 -12 then the value of A is and the value of b is

A: Given- Let W = Span12-3, 37-12.  To find- If W⊥ = Spanab1, then the value of a and the value of b is...

Q: Show that the sequence of functions on the domain [-1, 1] defined by if -1<r<0, 0, if 0 <x < 1/n, 1,...

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Q: 2.) y"-3y'+4y = sint ; y(0) = 0, y' (0) = 1 The answer should be: (1/6)cos t + (1/6)sin t - (1/6)e...

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Q: 3. Let R be the solid cone in R given by z > Vr2 + y² and z < 1. Let E be the boundary of R, oriente...

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Q: Complete the sentence by choosing the words provided for you inside the word poolbox. Simple Annuity...

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit t...

Q: Date: ame: rections: Find the area of each rectangle as quickly as vou can. Don't forget your unit! ...

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Q: Solve the following word problems. 1. Rohit gave a party and ordered pizzas. 6 of one pizza was left...

A: # we are entitled to solve one question at a time. Please resubmit the other question if you wish to...

Q: Use the formula for the binomial series: 1+ mx + m(m-1),2 + ... + 21 m(m-1)(m-k+1) (1 + x)" * +... 1...

A: We have to find series expansion of  1+x9.

Q: Graph the function. f(x) = 4x - 1 y y 10 10 5 5 -10 -5 TO -10 -5 5 10 -5 -5 –10 -10 y y 10 10- 5 5 -...

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