1) 2+37-4-0 2) 頭+32+2y-0 dx

Q: 0.1x₁0.4x2 +0.6x3-11-0 -0.2x₁ +0.5x₂ -0.1x3 = 6 0.3x₁ +0.7x₂ -0.8x3 + 9 = 19

A: 1st we will simplify  equations given and then use  cramers rule to solve it

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Q: 6 For each of the following functions, find all local maximum and minimum values. (a) g(x) = x ln x…

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Q: Find lim (3x³ +√9x6 − 2x³) x418

A: Given limit is limx→-∞3x3+9x6-2x3 Here we take a substitution x=-x So we have…

Q: 5 cos (4x+ = 1 i intervallet 0 ≤ x ≤ T.

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Q: Problem 3. Find all values of the parameter c that would make the following matrix singular: 1 1 1 9…

A: I have given the answer in the next step. Hope you understand that

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Q: Define Eigen Spectrum of a bounded linear operator on a Banach space. Show that the eigen spectrum…

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Q: y' = sin (x + y)

A: We have to solve the given problem.

Q: Solve the differential equation √√1-x² dy=dx by 2 separation of variables. A B C D y = arcsin x + C…

A: we are given that, 1-x2dy=dx seperating the x and y terms we get ,⇒ dy1=dx1-x2

Q: 4. What is the type of the equation Uxx - 4U xy +4Uyy = 0? Show by direct substitution that u(x, y)…

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Q: Solve for A: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right…

A: We have to find the Matrix A.

Q: Consider the following LP: Subject to Maximize z = x₁ 5X + X2 = 4

A: Given,  Maximize z=x1, Subject to                5x1+x2                    =46x1         +x3…

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Q: CLASSIFICATION OF DIFFERENTIAL EQUATIONS Classify each of the following differential equations by…

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Q: Question 5. Prove that every integral domain D=D, +, the ring of integers Z., can be embedded in of…

A: Given that ℤp,⊕,⊙ is a ring of integers. Also D=D,+,· is an integral domain of prime characteristics…

Q: Please do and explain part d)

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Q: Question 2. (a) Prove that the triple 4Z, +, -> is a commutative ring, but not an integral domain. 1…

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Q: The limit of (xy-2y) / (x2+y2-4x+4) as (x,y) approaches (2,0) is solved and found out that it does…

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Q: Let f(x, y, z): = x² - tany² 2xyz Solve for fry

A: Given :fx,y,z=x2-tany22xyz To find fzxy

Q: II. Sound or unsound? Provide the truth table as proof of your answer. 1. The marble is in my left…

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Q: Consider g(x, y) = -5x²y³ 3x4 + 7y6¹ 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that g has an…

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Q: (a) Write the Cayley table for the group U(15). (b) Give an example of an infinite group and…

A: In first part we find cayley table with the help of addition modulo in 2nd part we take example in S…

Q: 2. Determine the real root of f (x) = 5x³-5x² +6x-2 (c) Perform the same computation as in (b) but…

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Q: Question 6. (a) Give an example of a commutative ring without zero divisors that is not an integral…

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Q: If their positions are po = (-²) ₁₁ = (6)₁ ,do they collide?

A: The general equation of the circle whose position: p⇀=ab and radius: r can be defined using the…

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Q: Oil is leaking from a tank. For 0 ≤ t ≤ 24, the number of gallons G in the tank at time t is given…

A: a) G'(9)=-90 b) At 9:00 am the oil is leaking from the tank at a rate of G'(9) gallons per hour.

Q: 2. If television is always right, then Surfie is better than Tidee. If the television is always…

A: Given: If television is always right, then Surfie is better than Tidee. If the television is always…

Q: Let X= [0,100] x [-2,2] with the Euclidean metric d on X and T: X→→ X be defined by T(a,b) = (2+ √a²…

A: As per the question we are given a Banach space X = [0, 100] × [-2, 2] with the Euclidean metric d…

Q: Q1/Solve of the following: A. If f (u,v,w) is a function and u-x-y, v=y-z and wz-x. Prove that C. If…

A: 1. A. If f(u, v, w) is a function and u = x - y,  v = y - z and w = z - x.   To Prove:…

Q: Prove that the product of three consecutive integers is divisible by 6; of four consecutive integers…

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Q: Sally is cramming for a history exam. She has an amount of material M to memorize. Let x(t) denote…

A: Given :  amount of material to memorize = M amount memorized by time t (in hours) = xt

Q: 4. Write the surface z = x² + y² in cylindrical coordinates (simplify its expression if possible). 2…

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Q: The manager of an employee health plan for a firm has studied the balance B, in millions of dollars,…

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Q: Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra…

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Q: Az = 0 1 1 0 2 3 د) ليس أي من الخيارات -2 -1 -2 A1 : = 4 5 7 (→ -3 1 3 0 حيث ———— 6- أن || A1|| +…

A: Given matrix is A1=2−3143052−4 and A2=01−210−123−2. We have to find the A1∞+A2∞. Note:- If…

Q: Quadrilateral ABCD shown in the coordinate plane below, is dilated with the center at the origin to…

A: Given:  The below figure: To find: The correct option for the scalar factor of dilation. The…

Q: Determine whether the given equation is separable, linear, neither, or both. dx 3x +4tx=5 cost dt…

A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Let h(x, y) = X x³ + y sin². x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

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Q: 4 x₁ + 5x2 +3x3 = -27 2x₁ +6x₂+2x3 = -15 2 x₁ - x₂ + x3 = 12

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Q: Solve the equation. (2xy)dx + (y² - 3x²)dy = 0 An implicit solution in the form F(x,y) = C is…

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Q: What does the span of the following vectors define geometrically? 2 4 23 7

A: To determine: The span of the following vectors geometrically. 123, 247

Q: Question 16 1. Given the map f:R4R³ defined by f(x,y.z.w) = (0,0,0) then the dimension of Kerf is:…

A: We have f:ℝ4→ℝ3 fx,y,z,w=0,0,0 For a function f:V→W, we have the kernel consists of all those v∈V…

Q: Find approximations to within 10-5 to all the zeros of each of the following polynomials by first…

A: Since you have posted multiple questions so we will solve only the first question for you. Newton…

Q: 7. Let the function f: R →→R defined as follows xy² + 2x²y x² + 4y² 0 »-{ f(x, y): si (x, y) = (0,0)…

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Q: (b) Describe and sketch the region given by 3|x| + 2|y| + |z| ≤ 6. Hint: look at the equation in…

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Q: 2. A diagonal of polygon is a line segment that connects vertices (corners) of the polygon.…

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Q: Let A: X₁ ≤X → Y be a closed operator where X and Y are Banach spaces. Define ||x|| = ||x||+||Ax||,…

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Q: 1) An= (₁ +4: give the first & terms. ²70 2

A: Since you have posted a multiple question according to guildlines I will solve first(Q1)   question…