Which of these points are local minima? □ (-√2,-1) (-√2,1) (√2,-1) (√2, 1) □ (√2,0) □ (-√2,0)

Q: Problem 2 Let A, B, and C be sets. 1. By means of an example show that AUC=BUC does not necessarily…

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Q: 23 02 Find unit vectors ū₁ and ū₂ such that || Aū₁|| = 4 and || Aū2|| = 1.

A: The solution is given by

Q: Find all x in R* that are mapped into the zero vector by the transformation x→A 1-3 1 - 6 1-3 4 -4…

A: (As per the guidelines I am answering only one question at a time)We have to solve for Ax=0where

Q: the values of the parameters {o, p, A} in the + Ø) = Ae(jst+jø) + Ae(-j8t+j2n/3)

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Q: 2 7. a) Prove that, So √a-y+= 4a√2¬ dy [r] 0

A: We have to show

Q: 2. Write a program in MATLAB to numerically solve for the concentration distribution in a duct of…

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

Q: method, and verify by using computer methods. 2x₂ + x3 = -8 x₁ - 2x₂ - x₂ = 0 -x₁ + x₂ + 2x₂ = 3…

A: Given linear systemAugmented matrix

Q: 20. HHO -4 7 5 -6 8 9

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Q: follow instructions down below for eqaution; (3p² + p-2)²

A: We have to expand and simplify   then we have to verify our answers using given data.Formula…

Q: calculus medium, please solve questionnnn 23

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Q: 4) Let 0, 0<x</2 I, π/2<x<T. Find the Fourier Sine series for f(x). f(x)

A: Given function is ,        (.)  Fourier sine series of a function   in the interval  is given by ,…

Q: Use the Method of Variation of Parameters to solve the following differential equation: y" -8y +…

A: We have to solve the differential equation using method of variation of parameter.

Q: 13. r' = x² + x + 1

A: To find the equillibrium points, we need to find the root of x'=0.See the solution below.

Q: I (i) The region R is bounded by the x-axis, y = 1 and the curve y= ln (x²) where xeR₁x*0. The area…

A: Given the region R is bounded by the x-axis, the line y=1 a nd the curve  where .The area of R is…

Q: Exercise 9.37. Use Theorem 9.36 to show that if ƒ € L²(R) is orthogonal to all Haar functions, then…

A: is orthogonal to all Haar functions.We have to show that f must be zero in .

Q: 1. Write 27 2 as a base ( 3 power.

A: A number .To Find:Write the above number as a base  power.

Q: Using Lagrange multipliers method find the extreme point of the following function min f = x₁² + x²…

A: The given function We have to find the minimum value of  subject to the constraint .

Q: TN Communications would like to find the tower location that reaches each of these cities and…

A: We can express the distance between the tower and each city using the distance formula: distance =…

Q: Examples. Justify your answers briefly. Give the Dedekind cut for 1/√2. Your answer should not refer…

A: Dedekind's cut is a concept in real number theory, introduced by Richard Dedekind, to rigorously…

Q: 33. A = 148 8-3 -7 -1 27 3 4 -2 29 5 5 3 6 9 -5 -2 1 480 5 0250 0001 4 0000 0 50-1

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Q: Find a function g(t)≠ 0 with the property that L{d/dt(g ∗ f)}= L{f} for all functions f(t).

A: To find a function g(t) ≠ 0 with the property that the Laplace transform of the derivative of the…

Q: 4. What are the vertices of the feasible region? 5. Evaluate the objective function at the vertices…

A: Number of laptop produced each day : Number of tablet produced each day : Total number of device to…

Q: Consider the function f(x) = X n 1+nx - if n < x < n + 1 for n even if n < x <n+ 1 for n odd (a)…

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Q: Question 61 the book answer says b but I think it’s 20

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Q: Use polynomial fitting to find a closed formula for the sequence (an)n € No: 1, 3, 11, 31, 69, ...

A: The sequence is 1,3,11,31,69The sequence of first differences is(an+1 - an) = 2,8,20,38The sequence…

Q: Develop two finite volume schemes for the Burgers equation u+uux = μ = const > 0. applying a) upwind…

A: As per the question, we are asked with developing finite volume schemes for the Burgers equation…

Q: a photo is being enlarge to 2.5 times the original dimension, what is the area of the ratio to to…

A: A photo is being enlarge to 2.5 times the original dimension. We have to find the area of the ratio…

Q: 2. Write a program in MATLAB to numerically solve for the concentration distribution in a duct of…

A: note :Since you have posted multiple questions, we will provide the solution only to the question…

Q: Find the expression of Px² qx (x + t), P¸μ(x+t) with steps, if s(x + t) = s(x)(1-t) s(x + 1)t…

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Q: 3. By using the Stokes's theorem evaluate SS, (V× F) NdS where S is the hemisphere x² + y² + z² =…

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Q: M (x₁+x2) dV2(x), where M is the 2-manifold in R4 given parametrically as shown. x = (U₁+U₂,4₁…

A: The solution is given by

Q: 7. Prove the following using induction. n Σk³ = 1³ + 2³ +3³ + ... + n³ = (1 + 2 + 3 + ... + n)² 13…

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Q: The number of times a new pop song has been downloaded t weeks after its initial release is given by…

A: Function :

Q: Describe geometrically the effect of the transformation T. Let A = Define a transformation T by…

A: Matrix :

Q: Let G = (V, E, R, S) be a formal grammar such that all its rules are of the form a → B, where a € (V…

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Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? 236.6 207.02 177.45 147.88…

A: A graph of the function  is given.To find the end behavior of the given function.

Q: Let X₁, X, are two independent random variables with exponential distribution with parameter e and…

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Q: Consider the differential equations: y = ty, y = t²y, The above slope field is that for which one of…

A: Differential Equations:a) b) c) d) e) To find:The plot of the given slope field of which equation.

Q: 17.4 f₁ (1) ► 1 0 Find the Fourier transforms of the signals in Fig. 17.29. 1 2 -1 £₂(1) A 0 1 t

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Q: 10. Let F be the vector field F(x, y, z) = r/|r|5, where r = xi+yj + zk. If S is the sphere x² + y²…

A: According to guidelines we can do only first question thank youWe use divergence theorem to find…

Q: A loan account accrues interest at a rate proportional to its value. Suppose that this interest is…

A: Given:Loan account accrues interest at a rate proportional to its value.Interest is compounded…

Q: Consider the equation y" - 3y - 10y=-82²-3e³-2ze³ +8e-1 According to the method of Undetermined…

A: Given Differential equation isHere we need to find the form of a particular solution

Q: ← 1. y' = y + 2x 2. y = 2 - xy 3. y = xy + y 4. y = y - 2x

A: the differential equation and direction held are matched belowA.......4B.......1C.......3D.......2

Q: determine convergent or divergent and why

A: We know that…

Q: Find the area of the region lying inside the circle r = √2 sin 0 and outside the lemniscate r² =…

A: The equation of the circle is               The equation of lemniscate is…

Q: Sketch typical solution curves in the regions in the xy-plane determined by the graphs of the…

A: According to the given data, find the following:

Q: Consider the following LP: Minimize z = 2x1 + 3x2 + x3 Subject to: x1 + 2x2 + x3 ≥ 2 x1x2x3 = 1 ₁…

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Q: 0 3 1 000 3 [10 0 0 2 0 6 0 0 1 0 -3 2 0 00 0 0 -3 3 0 0 0 1 -3 0 6 0 000 0 Find a basis for the row…

A: We are given reduced Row Echelon Form of the matrix.We have to find row space basis, column space…

Q: 15. By setting 2 equal to appropriate values in the binomial expansion (or I one of its derivatives,…

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Q: Let -3 ----------- V3 2 V1 = 6 a. How many vectors are in {V₁, V2, V3}? b. How many vectors are in…

A: Let and