Give an example and proof of an existence theorem that can be proved by “constructive proof” and provide the constructive proof.

Q: A company sells two sizes of microwave ovens: The small size and the large size. The demand…

A: 1st we have to find the demand function then put the value of X and  Y and fillup the box.

Q: nded by y=x, y=2x-4, and y =0 2/3

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Q: .Find the Global Extrema for f(x) = Bx4-BeB-A)x. Use the second derivative to determine if those…

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Q: C) = ("†')-,",) n Q1. Show that : ir %3D

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Q: The dimensions of a rectangle are represented by rational expressions, as shown in the diagram…

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Q: The width, labeled x in the figure, is (Type an integer or decimal.) feet The length, labeled 250 -…

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Q: Let T : R2 → R² be the linear transformation defined by T(x, y) = (3x + y, –9x – 3y). Find a vector…

A: The linear transformation T : ℝ2→ℝ2 is defined by Tx, y=3x+y, -9x-3y The image of T is defined to be…

Q: Which of the following points is a solution to the linear inequality 2x – 3y >8; A (2, - 2) B (-2,3)…

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Q: Question 2 -2+x Identify the rational expression that is equivalent to x + 0. x² –2x x2 –2x x2 -1 -2

A: Given expression is -2+xx

Q: Find the absolute maximum and minimum of the function f(x,y) = 7y + 64x – 3 over the closed region…

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Q: dx 3D х — 2у dt dy dt 5x — у %3D x(0) = -1, y(0) = 5 x(t) %3D y(t)

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Q: 12. The cables of a suspension bridge are in the shape of a parabola. The towers supporting the…

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Q: 3. We learned in class that for a given A, the f(r) that minimizes the cost function Σω (1i –…

A: The following techniques satisfy the properties of a natural cubic spline.…

Q: If the boundaries of a class interval are 17.5 and 26.5, then what is the class size? 18…

A: We have to find the class size.

Q: A company that produces skis has the Cobb-Douglas production function Q=f(x,y)=180x0.7y0.3 , where Q…

A: The product function is given by, Q=fx,y=180x0.7y0.3 Here  Q is the number of pairs of skis…

Q: FInd the first 4 non zero terms of the MacLaurin Series representation for the function f(x)=…

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Q: In standard normal distribution, what is the area to the left of 7 = -2.22 ? A 0.0132 B 0.9868 c)…

A: To find the area to the left of z=-2.22 in standard normal distribution.

Q: Suppose that the world's current oil reserves, RR, is 1,990 billion barrels. If, on average, the…

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Q: What is the Equilibrium Price (Rs) and quantity (units) demanded for X on the market? Use a diagram…

A: Here is the diagram of supply and demand:

Q: Let G be a connected graph of order n = 4 and let k be an integer with 2 ≤ k ≤ n − 2. a)Prove that…

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Q: 3) Prove that there do not exist two rational numbers whose sum is irrational.

A: To prove: There do not exist any two rational numbers such that their sum is irrational.

Q: Question 2 2+2,z手0. x + 0. Identify the rational expression that is equivalent to x2 –2x x² –2x O-1…

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Q: Use the Laplace Transform to solve the initial value problem. y" -6y + 13y 0, y(0) = 0, y ((

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Q: i) The area of the surface obtained by the rotating the curve y=V 36-x², -3<x<3 about the x- axis is…

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Q: Find 7s + 15 -7 s2 + 2 15 cos (v2t) + 7 sin(v2t) V2 7 cos(V3t) + 15 sin(3t) V2 7 cos (v2t) – sin(vZ…

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Q: b. D*B" = (B*D)" C. A1*C = (AC)1

A: This question related to properties of matrix.

Q: 7p The simplified product of 5m³n3 and p5 where m + 0, n # 0 and 10m4n p + 0, can be represented by…

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Q: Suppose a person wants to travel D miles at a constant speed of (30 + x) mi/hr, where x could be…

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Q: SO, 18, 0st<1 y' + y = f(t), y(0) = 0, where f(t) t2 1

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Q: Problem 3: Imagine you have the function f(x) =x° ( (1-: where p and q are %3D integers. Where…

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Q: 7. (Cauchy's integral formula) Compute the integrals dz 2:2 – 2z + 1 (b) La (2² + 1)² Cos z dz where…

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Q: 1. Solve the following DE using TWO DIFFERENT methods (Two dif- ferent approaches to same method…

A: Introduction: The separation of variables is a method for solving ordinary and partial differential…

Q: 8.) Let Be a basis for a subspace W of the Euclidean space V of all 2 x 2 matrices with inner…

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Q: 1. Solve the system 3x + 5y+z = 1 7x-2y+4z = 2 -6x +3y + 2z = 5

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

Q: Determine the projection f(x) = 1 along sin(x), sin(3x)and find from there a function of the form 1…

A: The aim is to find projection of function f(x)=1 on sin x and sin 2x. Then we are trying to provide…

Q: Questióñ 4 A is simplified, the equivalent expression can be written in the form x+1, x +-2.…

A: We want to find codes for A and B

Q: 14. Find the volume of the parallelepiped having i + 3j + 2k, 2i + j- k and i- 2j + k be the edges.…

A: The edges of the parallelopiped is given to be a=i+3j+2k, b=2i+j-k, c=i-2j+k. To find the volume.…

Q: .Find a sequence that diverges, but doesn't diverge to infieity (a) an = n+1 (b) bn %3D Vn +1 (c) Cn…

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Q: Find the radius of convergence and interval of convergence of the power series. 00 x" 11. У 2n | n=1

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Q: Example 3.2: The data below represents the length (in seconds) of a random sample of songs released…

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Q: The total U.S. personal income I (in billions of dollars) from 1960 and projected to 2024 can be…

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Q: 1. Consider the following vectors in R³: 2 3 y= |1 3 -1 2 -4 Which of the following equals ||||7|T –…

A: According to Bartleby guidelines we can solve only the first question, in next step see the…

Q: what is the final answer

A: The final answer is dwdt=8t−14t2−t+4

Q: 17 Let A = -30 -8 Find a matrix S, a diagonal matrix D and S- such that A = SDs-1 -1/2 -1/3 S = D =…

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Q: Find the area. a. Inside one leaf of the three-leaved rose = cos30 b. Shared by the circle r=2 and…

A: Given that a) r=cos(3theta) b) r=2 and r= 2 (1 +sin(theta)) c) r=-3cos and r=1-cos( theta) We have…

Q: In the following functions: f(x) = In(1 + x) a) Find the expansion of the Taylor series at x=0 b)…

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Q: 2) Let X= {a, b, c, d} J= {X,Ø, {a}, {b}, {a, b}}. Compute the closure, interior and boundary of A…

A: Here given set X=a, b, c, d and the topology on set X is given as I=X, ϕ, a, b, a, b

Q: The functionh (x) has a range {y\y> -3, y ER} what is the range d the function j (x) 3h (2 (x- 1))…

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Q: 1. Let S be the set of all 2 x 2 matrices of the form with respect to matrix addition and…

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Q: Find the future value of this loan. $21,415 at 4.9% for 7 months The future value of the loan is $

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