_. . Prove that z² = + Emo(-1)" (n + 1) (²2)", where |z-21 < 2.

Q: tf:R→R: 3x³ + 2x² - 4x. . Find all Legendre coefficients for f. . Explain how you can use the result…

A: We have to solve given problems:

Q: Evaluate the integral sin(x²)dxdy.

A: This is a question from the double integral.

Q: 1. Find all 6 subgraphs of the following graph. 22 O

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Q: 1. Evaluate the following limits: x³-1 if x < -1 5x²-x-4' 3. Let f(x)=4x² + 3x-2, if-1<x<2 √5x + 6,…

A: a) Consider the given piece-wise function, fx=x3-15x2-x-4,    if x≤-14x2+3x-2,…

Q: Write an iterated integral for JJdA over the region R described to the right using R a. vertical…

A:

Q: An object consists of a cuboid and a pyramid with a square base. The plan and side elevation of the…

A:

Q: Q1) Let D = M₂(Z₂)be a ring find the order of D and all the idempotent elements.

A: This is a problem of Abstract Algebra and the Theory of Rings.

Q: a) Commencing from first principles derive an expression for the Hessian (not the Bordered hessian)…

A: Given: Hessian matrix To find: Solution

Q: (3) Find the mass of the lamina described by the inequalities, given that its density p(x, y) = xy.

A: Given,             ρ(x, y)=xy and  x≥0, 3≤y≤3+9-x2

Q: ical notation of each:

A: Given as,

Q: Use trial and error to find all replacements for x that are less than the modulus that make the…

A: To find- Use trial and error to find all replacements for x that are less than the modulus that make…

Q: For each of these collections of premises, write arguments in vertical form and test the validity…

A: In logic, especially in deductive reasoning, a controversy is legitimate if and most effective if it…

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

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Q: Question 8* Problem III Let f(x, y, z)= -2xy - x² + 3yz + x² + y² + 2². Question 1 The set of…

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Q: If the volume of the a cube is 125 cu- bic m. Find its side?

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Use the Simpson's rule with six intervals to evaluate the integral Type your final answer below…

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Q: A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it…

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Q: Solve the initial value problem. -1 1 0 y' 1 -1 -2 y, y(0) -1 -1 -1 6 5 -7

A: This is a problem of system of differential equation.

Q: . A Garments Factory produces 2 kinds of curtains: Curtain A and Curtain B. For materials, the…

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Q: Using the least squares approximation, the best fit an exponential curve y = ea(x-b) to the given…

A:

Q: How much should be placed in a fund every 3 months in order to have Php350,000 in 4 years if the…

A: The formula for future value of an annuity is defined as, F.V. of Annuity=P1+in-1i where, P=Periodic…

Q: (a) Assume that g(x, y) is a function of the form x²+y² g(x, y) = 0 if (x, y) = (0,0). (i) Show that…

A: (a) The given function is gx,y=x3yx2+y2  if x,y≠0,00             if x,y=0,0. To show: (i) gx,y≤xy…

Q: Let f and g be real-valued continuous functions in the vector space C[a, b]. Show that (f. g) =…

A: Given that f and g be real-valued continuous function in the vector space Ca,b. We have to show that…

Q: Let T:P2 →M be defined by T(p(t))=[p(1) p(1) p(1) p(1) p(1) p(1)], where P2 ={at2 +bt+c, where a,b…

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Q: Sea 2z(z+1) H(z) = (2-X2²X2²+42+5) Los polos son Seleccione una: O a. z = 137,2= + 1/2 ₁2 = -2±j Z =…

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Q: Evaluate the following integral by reversing the order of intgeration: √ 2π [²² 1²² cos(7x²) dxdy…

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Q: (a) Is the function f(x, y) = xy(x²-x²) when (x, y) = (0,0) and f(0, 0) = 4 continuous at origin.…

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Q: Consider the system dx xy, dt dy 4 - 4x - 2y. dt 1. Determine the nullclines of the system and…

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Q: 1. The set of functions {Po, P1, Pn) in [a, b] is called a set of orthonormal functions, with…

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Q: Q.25) Find the area of the region enclosed by the cardioid r=3(2+2cos0)

A: To Find: Area of the region enclosed by the cardioid r=3(2+2cosθ).

Q: If the zeroes of a rational function has 2 real, and 2 imaginary roots, then the number of the…

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Q: x+ dz Obtain a numerical solution of the differential equation initial conditions that at x=2, y=1…

A: Solution :-

Q: Write the first four terms of the sequence: an = 3n + 4 . If a1 = 2 and a3 = 8 of an arithmetic…

A: We have to write the first four terms of the given sequence. Then, we can proceed further.

Q: Q2) Let(M₂ (R), +..) be a ring. Prove H = {(a) la, b, c = R}is a subring of (M₂ (R), +..).

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Q: Find the inverse z-transform of

A: In this question, the concept of z-transformation is applied. Z-transform In its most basic form,…

Q: ]x" (t) + x (t) = 6 sin 2t "here X(0) = 3 x' (0) = 1

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Q: 3) By changing the independent variables x and y to u and v by means of the relations u xay, v = x +…

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Q: Any group of order 520 is simple

A: Simple group:     "A simple group is a nontrivial group whose only normal subgroups are the trivial…

Q: Calculate the 4th roots of (5 - j3)

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Q: 9. Laplace Transform of f(t) = 1, 0 2. O A. 1/s + e^(-2s)/s + e^(2s)/s^2, s>0 OB. 1/s + e^(2s)/s +…

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Q: Show that for the Legendre polynomials Pn the following holds for all n E N (n+1) Pn+1(x) − (2n…

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Q: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

Q: 3. For each of the following normal curves, identify (as accurately as you can from the graph) the…

A: Follow the steps.

Q: 1. Based on the data, what is the mean nominal wage? A. 123.26 B. 291.81 C. 350.00 D. 358.88 2.…

A: Part (1) The nominal wages are: 537, 350, 340, 360, 400, 400, 320, 310, 395, 386, 315, 316, 365,…

Q: (a) Assume that g(x, y) is a function of the form g(x, y) = 0 if (x, y) = (0,0). (i) Show that g(x,…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: 4. A composite function Function from your design Disregard desmos restrictions. Set sliders to 0 or…

A: To find: The instantaneous rate of change of a particle at x=A.

Q: 5. Show that if x,y∈Z and 3|x^2+y^2 then          3|x or 3|y 6. Show that if c=sa+tb where c=(a,b),…

A: Please check that x=1,y=3, then x^2+y^2=10 does not divide by 3. So  must 3|x and 3|y instead of 3|x…

Q: 8. Translate the following Hindu-Arabic numeral into the equivalent Roman numeral. 365 In Roman…

A: C stands for 100. L stands for 50 in Roman number. So for 300 the equivalent Roman number is CCC.

Q: Linear Algebra Question: Suppose x1, x2, x3 are 3-tuples in R^3 satisfying the following: a. x1 is…

A: