Find the orthonormal eigenbase of the linear operator А that has the matrix 1 2 0 A = 0 2 0 -2 -2 1, and the matrix Ap in this eigenbase.

Q: The demand and supply functions for a commodity are given below p= D(q) = 80e-0.023g p= S(q) =…

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A: Auxx+Buxy+Cuyy=0 A≠0B2-4AC=0

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A: Since there two questions, therefore, find the solution of the first question.

Q: (a) Assume that f: A onto B and g: B → A. Prove that g = f-¹ iff g of = IA or fog = IB (Theorem…

A: As per the policy we are solving question (a) for you .For the solution of (b) please repost the…

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Q: Prove the validity of the 2-D multiplication theorem. That is, f(x, y)h(x, y) F(u, v) * H(u, v) 1 MN

A: We need to prove the 2-D multiplication theorem.fx,y·hx,y↔1MNFu,v*Hu,v

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT yyy Ü♥¯ ¶ ☆ @ ! ! ?? !! ? ?! ¿ ¡ !? S❀ W X Х Х Х Х A * ✓✓✓ DO -…

A: We have not any digital tool .

Q: Find dz dx and dz ду for ·y5. z) · sin (5x 5x y = 2 + 2x + 4y + 4z.

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Q: de − 7 √(1-k² sin²0) 2F₁ ( ½ ‚ ½ ; 1;^²), \K[<1

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Q: we will use the method of separation of variables and Fourier series to derive a solution formula…

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Q: Find the total cost (including expenses) for a broker-assisted purchase of 65 shares of 3M stock at…

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Q: Let X = {1, 3, 5} and Y = {a,b,c,d}. Define g: X→ Y as follows: 1 b, 3 → b, 5 → b. inverse image of…

A: For a function: y=f(x), the set of real values of x for which f(x) is defined is called the domain…

Q: n 2 ² ₁ ( - - - - 1 (1 - 0); + + + ( 1 ) = 2² (20), b =2"

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Q: Circulation Consider the following vector fields F and closed oriented curves C in the plane (see…

A: Given:Vector field: F=y, -2x4x2+y2;Curve: C: rt=2cost, 4sint, for 0≤t≤2π. To Do:(a) From the given…

Q: 3. 4. M M M8 M8 5. Σ 6. n=1 1. I = 2. I = 3. I = (-1)n+122n32n n! 5. I = (-1)n+122n-132n (2η)!…

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Q: II. Systems of Linear Equations: Find the solutions of the given simultaneous linear equations using…

A: The given problem is to find the solution for the given system of linear equations by using the…

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

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Q: Product Bowl Mug Resource Requirements Labor (Hr./Unit) 2 4 Clay (Lb./Unit) 8 6 Profit ($/Unit) 80…

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Q: Find all zeros of the polynomial function: f(x) = x² − 2x³ + x² + 12x + 8

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Q: 1. Find a full rank decomposition of the following matrices 1 2 3 0 021 -1 102 1

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Q: 1. For the following function 1. a) Establish the domain of the function, and write it in interval…

A: We will use relation between function f(x) and its derivatives to sketch the graph .

Q: Evaluate the definite integral I^V₂ x² + 4x(x³ + 1) dx a) Find an anti-derivative •√√₂¹ +² b)…

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Q: 2) Create a direction field plot for the logistic equation dP dt = 2 P(1 - 1) on the rectangle 0 ≤ ≤…

A: Given: Logistic equation dPdt=2P1-P5            Rectangle 0≤t≤3, 0≤P≤8            Initial conditions…

Q: Consider the initial value problem y' = y¹/3, y(0) = 0 for t≥ 0. (Let to indicate the location of…

A: Answer :

Q: have to find that their is as large as possible. We Let then for P = x (20-x) the numbers be product…

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Q: 5. (D² + 5)x - 2y = 0 -2x + (D² + 2)y = 0 Solve the systems of differential equation by elimination…

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Q: Determine if the following statement is true or false. n If a piece of string has been chopped into…

A: Given that the a piece of string has been chopped into n small pieces, ith piece is ∆xi inches long,…

Q: Find the vector in R³ from point A = (x, y, z) to B = (-2, −6, −7). AB= help (vectors)

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Q: to obtain the MacLaurin series for (a) (1+x) 00 (1+x) = 1 + mx + k=0 m(m-1), 21…

A: As 1st series need in summation form so we will use infinite GP and derivative . For 2nd series we…

Q: 5.20. Use the definition (5.15) of the probability of an event to prove the following basic facts…

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Q: (is) Reverse the order of integration. Do not evaluate the integral, only set up the integral in the…

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Q: (b) Show that d(a, Ker p) |p(u+ta)| |y(a)| < ||u + ta|| d(a, kerp)' |p(a)| Ker +Ra). (c) Deduce that…

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Q: For 2 = 23 237 δυθυδω . 9v-w8, calculate 237 θυλυδω

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Q: Use the expression in the accompanying discussion of sample size to find the size of each sample if…

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Q: Find, using a transformation, the area of the ellipse 9x² + 16Y² = 25

A: We need to transform the ellipse: 9X2+16Y2=25 and then determine its area. The ellipse: x2a2+y2b2=1…

Q: 4. Define a relation P on Z as follows: For all m, n e Z. m Pnm and n have a common prime factor. a.…

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Q: Exercise 7.2.1 For each matrix A, find a basis for the kernel and image of TA, and find the rank and…

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Q: 4. Find the domain and the range for the following functions. Then, sketch its graph.

A: The given problem is to find the domain and range of the given function and also to sketch the…

Q: Evaluate X + Y Ssex R da, where R is given by |x| X + |YS 1

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Q: 1. For the following function - S(x) - ² + 1/2 x2 a) Establish the domain of the function, and write…

A: Given function is     f(x)= x2+1x2 (a)   The function is not exist at only the point x = 0…

Q: 1.) Divide by demonstrating the process of long division: Then answer the questions below: State the…

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Q: Exercise 5.6.9 Suppose T: R" → Rm is a linear transformation given by Tx=Ax where A is an m×n…

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Q: I. Root Finding Method: Find the root of the function f(x) = e-x+ 2ln (sin x) using the following…

A: This is a question of Numerical Analysis.

Q: Give a proper coloring for the graph below. Then determine its chromatic number. Justify your…

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Q: If AB = 0 then the columns of B are in the of A. The rows of A are in the __ of B. With AB= 0, why…

A: Given that two matrices A and B with AB=0. Since AB=0 we can say that every row of B has given zero…

Q: Problem 1. Let E be a real vector space, F be a closed subspace of E, and a € E\F. Set d(a, F)…

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Q: x-1 f(x) = "=¹ and g(x) = 1/ x X

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