'1 2 -4 3 135 Q1: A= 3 1 -2 Find The inverse of A? 5

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Q: 2. Compute [fs xy dS, where S is the surface of the tetrahedron with sides z = 0, y=0, x+ z = 1 and…

A: We have to Compute ∫∫S xy dS, where S is the surface of the tetrahedron with sides z = 0, y = 0, x +…

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Q: Let I:= [a, b] and let f: I -> R be a continuous wetion such that f(x) >0 for each x iN I. Prove…

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Q: The system of first order differential equations 3/₁ = − 4y1 + 5y2 +1 y2 = 5y1 - 4y2 + 1 where y₁…

A: Given system of first order differential equations is y'1 = - 4y1 + 5y2 + 1y'2 = 5y1 - 4y2 + 1With…

Q: = Let R be the region in the first quadrant bounded by the lines y 1 hyperbolas xy = -2, xy = 2. and…

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Q: Find the vectors T and N given the following vector function. r(t) = (sin³ t, cos³ t, sin² t)

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Q: Let f RR be continuous. If f(c) > 0, prove there exists a neighborhood N of c : such that f(x) > 0…

A: Let f: R -> R be "continuous''.Claim: If f(c) > 0,            prove there exists a…

Q: Agriculture. Table 3 shows the yield (in bushels per acre) and the total production (in millions of…

A: Given information:Data on corn yield (bushels per acre) and total production (million bushels) for…

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Q: The system of first order differential equations: has solution: y₁ (t) Y₂(t) = Note: You must…

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Q: A table of values of an increasing function f is shown. X f(x) 10 lower estimate upper estimate 14…

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Q: Consider the function f(x) = -x(x - 5)²(x + 4). a) Complete the table below. Degree Sign of leading…

A: We have given function, Expand the given function as follows:Hence, The degree of f is The sign of…

Q: is very hard to read can someone please rewrite this but type instead of using a pen

A: ''Since you have posted multiple questions, we will provide the solution only to the first qiestion…

Q: Sketch the region of integration for O A. -9 Choose the correct sketch of the region below. 81- O B.…

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Q: ) Determine the set of all optimal solutions for the following linear program using the graphical…

A: To solve the LPP in graphical method, we have to convert it into dual problem.

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Q: correct answer. I have attached the correct answer in this question. question:   solve the given…

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Q: Use de Moivre's Theorem to find the following. Write your answer in standard form. (√2 cis 77)

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Q: Give a basis for the image of the matrix A. 0 0 1 -2 A = 1 -1 2 −5 0 0 5 -10 Number of Vectors: 1…

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Q: Four gallons of gas cost $13.70. Write a unit rate that fits with this statement for 1 gallon, you…

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Q: Follow the steps for graphing a rational function to graph the function F(x)= x² +7x-8 x+2 OC. The…

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Q: The null space for the matrix is spanned by the vector 2 -1 4 5 4 0 5 6 2 4 -1 1 0 1 1

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Q: A mass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from…

A: The weight of the mass is  pound.It stretch the spring by  inches.The mass is initially released…

Q: #9: Consider the following differential equation. (1 + 3x²) y'' - 8xy + 6y = 0 (a) If you were to…

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Q: Prove that f(x) = x³ + x/2 is C¹-structurally stable.

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Q: A differentiable function f: I→R is said to be uniformly differentiable on I=[a, b] if for every ɛ>0…

A: We shall use the triangle inequality to solve this problem

Q: or the system of differential equations, y² = [ 28 23 84 -6 - 22 O Find the characteristic…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: 2. Let X₁, X2, and X3 be independent random variables such that E(X₁) 6 Further, suppose that V(X₁):…

A: Let X1, X2, and X3 be independent random variables. 1. We have to Compute E(eX1X2+πX2X3+√19X3+3)2.…

Q: Find the determinant of by cofactor expansion. 040 2 10 0 0 0-1 0 4 0 -4 0 1 44 0 0 3 -9 0 0 -4-5

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Q: For the function F(x) = -6+ (a) graph the rational function using transformations. (b) use the final…

A: Vertical shifting: To graph of y=f(x) -c, shift the graph of y=f(x) down by c units.

Q: Compute the double integral of f(x, y) = 6x²y over the given shaded domain in the following Figure :…

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Q: 1: Consider the following differential equation, 5xy"' + (2 + x) y + y = 0. Note that xo = 0 is a…

A: is a regular point.

Q: Find the eigenvalues making sure that each 20 = Yn(x) = and eigenfunctions yn(x) for the given…

A: Here c1,c2 are arbitrary constants.

Q: Suppose F(x, y) = (4x - 3y)i + 2xj and C is the counter-clockwise oriented sector of a circle…

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Q: 1. Let S be the portion of the graph z=4 - 2x² - 3y² that lies over the region in the xy-plane…

A: \We have to set up the double integration

Q: The directed graph in Figure 15.4 describes pages. What is the corresponding adjacend

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Q: #1: Consider the following integral equation, so called because the unknown dependent variable y…

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Q: P.) Consider the topology 7 = {GCR:0 EG or G=0} or on R. Is [0, 1) compact in (R, 7)? Explain why.

A: Given, topology  on defined by, Consider the open cover of  in (Since,  is open set in  for every…

Q: Use the divergence theorem to evaluate the surface integral F. N dS where F = xy²i+yz²j + zx²k, S is…

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Q: Show that 25+ 2z² + 3z + 2 has five zeroes inside the circle |z| = 2, and determine the number of…

A: If f(z) and g(z) are two analytic functions within and on a simple closed curve C such that |f(z)|…

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Q: The inverse Laplace transform of -3s² - 12s + 133 (s+2) (s² - 6s+13) is: + qeßt cos(wt) + reßt…

A: The inverse Laplace transform of  is:, where are constants with .

Q: 1. is this given problem belowe com be considered as lineau programmning? If not, convert or Find an…

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Q: Evaluate the definite integral. [In In x³ dx

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Q: 2. Is R bounded with respect to this metric? 3. Compare the open balls B(0,2), B(0,4), and B(1, 4).…

A: Sequential compactness.

Q: Construct an 80% confidence interval estimate for the population mean given the values below. a=47 n…

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Q: Random variables X and Y follow a joint distribution

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Q: verage velocity Vex of 6.6 m Determine the pumping rate (i.e., the entrained fluid flowrate)…

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Q: Q6: ) Suppose (X, 7) is aftopological space, and p a point not in X. Let Q = {UU {p}, UET, and X-U…

A: Let's go through the two parts of the question:a) To show that T=Q∪T is a topology on Y=X∪{p}, need…