Instructions: Answer all questions. 1. Determine the convexity or concavity property of f(x1,x2)=3(x1-2x2)² x₁ER+ i.e.x₁>0,x2> 0

Q: polynomial which takes the following values (lagrange's interpe 012 y121

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Q: 1. Simplify. Express your answers with positive exponents. a) (3x3y3)(2xy-3)2 b) 16a²b³ 4a-165 -2 c)…

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Q: 3. (Third Isomorphism Theorem) We wish to prove the Third Isomorphism Theorem, which states hat if…

A: The objective of the question is to prove the Third Isomorphism Theorem and perform computations…

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A: According to the guidelines of Bartleby, we need to solve only first three sub parts.1.First…

Q: Let 1 -31 3 2 1 [1 2 0] W = 23 2-2,x= -1 2 3 -and- and Z= 0-1 1 2 -1 1 Which of the following…

A: Therefore the correct options are : a. Correct.b. Incorrect.c. Incorrect.d. Incorrect .e.…

Q: Let Find A-¹ and use it to solve where where x₁ = -24 and 2 -0 = A = 4 -3 4 4 AX = B B = (²3) X = -…

A: We see,        So, Determinant of A = |A| = 4×4 - (-3)×4                                        = 16…

Q: Choose the power series solution to y" - 4xy + (4x2 - 2)y = 0. ○ (ao + α1x)ex² O None a² ○ (a +…

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Q: Question 5. Let A = {0,1} and B = {1,2}. Find: (a) (A x B) U (B x B) (b) P(A) \ P(B).

A: For the given set A and Ba.) (A×B)∪(B×A)={(0, 1),(0, 2),(1, 0),(1, 1),(1, 2),(2, 0),(2, 1)} b.)…

Q: 0.1.9. Find a group G, with subgroups H and K, such that H◄K, K◄G, but H not normal in G.

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Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: (2) (a) Use an element proof to prove that for any sets A, B, and C, if A C C and BCC, then AUBCC.…

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Q: uestion 2. Prove that P(ANB) = P(A) ^ P(B).

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Q: Find the GCD(f, g), where f=5x^4+6x^3+4x^2+5x+1, g=6x^3+3x^2+5x in Z7[x]

A: Find the , where ,  in .

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Q: Given the complex numbers find the real and imaginary parts of the complex number: Re ( 2 ) = Im (2)…

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Q: Let p x²-2x+1, p² = 3 +3x+1 and p³ = 5x + 10. Let q = x³-3x + 4. Is q' in the span of p1, p2 and p³?

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Q: Find a basis of the subspace of R4 defined by the equation -8x17x2 + 4x3 + 5x4 = 0. Basis: 9.

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Q: 6. Determine whether the improper integral sin x dx In x converges or not and justify your answer.

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2. Let ABC be a triangle and G be its center of gravity.…

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Q: Suppose that A is a 3×3 matrix and det (A)=-3. What is det (4A)? Select one: O a. -3/4 O b. -3 О с.…

A: The answer is as follows: det(4A) = -192.Explanation:Steps and explanations are as follows:In case…

Q: Q1. (a) (i) (ii) Comment on the efficiency of the following root finding techniques. Newton's…

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Q: Prove that |A \(BUC) = (A \ B) \ C.

A: We have to prove in explanation section please check it.Explanation:If you have any questions please…

Q: Solve the following systems of linear equations using Gauss-Jordan Elimination method. x – y + z +…

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Q: Please Solve this Question using manual solution Thank you

A: 1) option D2) Option A3) Option D4) Option AExplanation:Step 1: Step 2: 2)Step 3: 3)Step 4: 4)

Q: Find the order and degree of the differential equation:- d³y d4y dy + dx3 = 6xy dx4 dx .

A: The objective of the question is to find the order and degree of the given differential equation:…

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Q: a) (o pots) Find the Laplace transformation C{f(t)} of the following function. (You may use a Table…

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Q: Please don't provide hand writtin solution.....

A: Please see the explanation part.Explanation:Answer: To find formulas for the entries of Mn, where n…

Q: Please don't provide hnad writtin solution....

A: So the final answer i.e., fund worth after 19 years =  $394,395.07 Explanation:Future Value =…

Q: Your company is evaluating the prospect of purchasing a new plant from a competitor. Because of the…

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Q: √²³₁(−12xy² + 8x³y + 3)dxdy

A: LetWe have to evaluate the above integral.

Q: Please answer these question using manual solution thank you

A: The first question asks what the inverse Laplace transform of (F(s)=e^{-2s}/(s+1)) is. The answer is…

Q: Find |A-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding…

A: The answers are as…

Q: Please help me with these questions. I am having trouble understanding what to do  Please show your…

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Q: For each of the differential equations, determine the complementary solution, and then use the…

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Q: Find three angles with the same sine or cosine of 5.2, up to sign. 2.5 1.5 2 3 02 -0.5 3.5 4 0.5…

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Q: Consider the mathematical program below for the remaining questions: max 18x1 + 22x2 + 7x3 +14x4…

A: max s.t We have to verify  is valid inequality or not.

Q: Find the least residue of the (multiplicative) inverse of the product modulo 953. (Note that 953 is…

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Q: A client deposits 100,000 in a bank, with the bank agreeing to pay 8% effective for two years. The…

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Q: The graph of f(x) is shown (see figure). f(x) = 7x √x²+6 (a) Find the following limits. L = lim f(x)…

A: The function is given by .(a)And,

Q: Label the following as TRUE or FALSE, according to Euclid's Elements. a. 5 is parts of 45. b. A…

A: a. TRUEAccording to Euclid's Elements, one number is said to be a part of another number if it…

Q: Bryan secured a 6-year car loan at 6.20% compounded annually that required her to make payments of…

A: The cost of the car is approximately $47,445.76.Explanation:To calculate the cost of the car, we…

Q: Solve the following systems of linear equations using Gauss-Jordan Elimination method. x + y+ z =…

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Q: 1. Suppose we have a linear program in standard equation form maximize cx subject to Ax = b, x ≥ 0.…

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