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Q: Find its differential equations with solutions

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Q: 25. ∞ (−1)" (n+1) 3″ 22n+1 n=1 Answer 26. ☎ (-1)" √ñ In n n=2 27. 27, 28, 29, 30, and 31 Find the…

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Q: Find a number x between 0 and 90, such that x ≡ [4,8] mod [7,13].

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Q: 2. Let g(x) = f(t) dt, where f is the function whose grap is shown. ban d bas a meward > Indi rique…

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Q: Question 10 [10 points] Suppose I is a transformation from R² to R². Find the matrix A that induces…

A: Here we use the standard definition of linear transformation to write the required matrix as…

Q: Solving Applications Using the Pythagorean Theorem lores and Marianne are playing Pokemon Go. They…

A: Here the small squares in the grid have side length of one yard and areas of 1 square yard. The red…

Q: 1.Find the matrix of T with respect to the standard basis, {e1,e2,e3,e4} of R4. 2. Find a basis for…

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Q: When purchasing bulk orders of batteries, a toy manufacturer uses this acceptance sampling plan:…

A: Binomial distribution: In a series of n independent trials, for each trial if the probability of…

Q: looc 7. Given sets A, B and C prove or disprove that (AB) U (B-C) = U (B-C) = (A-C)_

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Q: Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" + 6y' +9y = 9, with…

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Q: Give bases for row(A), col(A), and null(A). 1 0 -1 ^= [18] A 6 row (A) col(A) null(A) 000 11 ↓ 1 ㄷ

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Q: Two television networks, Century and ReMark, compete for a viewer audience in prime time. Century is…

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Q: dy For problems #1-2, find in each case. Show all work clearly and be sure to use proper dx…

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Q: Evaluate the integral де 2 O (4e4+4) ・S² √√== 0 0 (Hint: you may want to consider converting it to a…

A: Option(1) is correct

Q: You are making a medley of sautéed vegetables using the following ratio: ½ part red pepper 1 part…

A: Red pepper = 1/2 part Green pepper = 1 part Onion = 112 = 3/2 part Yellow squash = 3 part Green…

Q: Use Newton's method to find all roots of the equation correct to six decimal places. (Enter your…

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Q: Let f : Z → Z be the function defined by putting f (x) = 2x − 5 for each x ∈ Z. (a) Is f one-to-one?…

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Q: Find the particular solution. (x + 1)dy - 2(x + y + 1)dx = 0; when x = 1, y = 4

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Q: The partial differential equation (PDE) by eliminating the arbitrary function f from: z = xy +…

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Q: Given the function f(x) = x³ - 3x², find x for which f'(x) = 0 1 2 2 x = 0; x = 1 4 x = 0; x = 4 3 x…

A: Given : f(x) = 1/2x^3 - 3x^2             Because f(x) = y               Now we derivative f(x) with…

Q: a. Find a Trapezoid Rule approximation to 1 dx0 0 (Round to six decimal places as needed.) Sex 0 dx…

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Q: (1) Use the counting formula to determine the orders of the group G of rotational sym- metries of a…

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Q: Evaluate the double integral 2y2 the equations y = x², y = 0, and .x = 2. 64 3 O 256 O 32 5 2 3…

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Q: (Prove by induction that for all integers n ≥ 1, 1² + 32 +5² +...+(2n-1)² = n(2n-1)(2n + 1) 3

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Q: 88) . Give the exact distance and an 5 approximate distance rounded to at least 2 decimal places.…

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Q: Let g: R^2 -> R be defined as g(x,y) = XY for all (x,y) an element of R^2. Describe g^(-1) ([-1,1])…

A: Given, g: ℝ2→ℝ gx,y=xy, for all x,y∈ℝ2 g-1-1 in -1,1 subset of ℝ2 ∴x,y=g-1xy ∴xy=-1 in -1,1 subset…

Q: all Give an example to show that a convergent Sequence under on metric may be divergent under…

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Q: Use Green's Theorem to evaluate the line integral (3x² - 4xy) dx + (y³-x2) dy where C is the…

A: Let C be the positively oriented , the line integral is given as ∫CPdx+Qdy The line integral is…

Q: 3. Let f: R² R2 where f(x, y) = (y³, x + y) and c = →>> = (0, 1).

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: Find the mass and center of mass of the solid E with the given density function p. (x, y, z)= E is…

A: Given the solid E with the given density function ρ. E is the tetrahedron bounded by the places…

Q: Consider the integral S = 4-y2 ² In (x² + y²) dady √3y a) Sketch the region of integration b) Set-up…

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Q: Chapter 6, exercise M.7: Let G be a finite group operating on a finite set S. For each element g of…

A: Given: G is a finite group operated on a finite set S. ∀ g∈G, Sg is defined by Sg=s∈S|gs=s which is…

Q: Compute the line integral with respect to arc length of the function f(x, y, z) = xy2 along the…

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Q: Answer: Setup the Riemann sum f(x) dx = lim f(x)As for the given integral. n-00 √ ² (3 x (3x − x²)…

A: We will first indicate the function which is to be integrated over [0,2], then we find required…

Q: Consider ϕ: ℤ ×ℤ → ℤ defined by ϕ(a,b) = a-b. Prove that ϕ is a homomorphism.

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Q: Use the properties of a Cauchy-Euler system to find a general solution of the given system for t> 0.…

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Q: Determine whether the following function is a polynomial function. If the function is a polynomial…

A: Solution:

Q: 1 How do you find the average value of a function g(x) for x = [c, d]? Make a sketch of some…

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Q: 1. Find these terms of the sequence (a), where a = 2-(-3)" +5". a) do d) as b) a₁ c) a₂

A: Given that the sequence an is such that an=2.-3n+5n

Q: 7. Compute [(129 mod 23) (105 mod 23)] mod 23

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Q: Maximize: Subject to: x + y x + 2y ≤ 4 2x + y ≤ 4 0≤ 3x ≤ 5 0≤y

A: For the given LPP we have to find the standard and canonical form as well as the basic solution.

Q: Show that aj +2 aj ↑ 217 Since h> 2, therefore, the series is convergent.

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Q: Find the particular solution. x(y² - 1)dy + (y³ - 3y)dx = 0; when x = 1, y = 2

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Q: Given a group G = ℤ*5 × U(ℤ6) with subgroups S = and A = , answer the following questions. 1. List…

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

Q: 8. Use Green's functions to find a solution to the IVP x²y" - 2xy + 2y = 2x² In x, y(1) = 1, y'(1) =…

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Q: 1. Prove by induction that for every n ≥ 1 we have 1 2n (2n + 2) 1 + 2.4 4.6 + + = n 4(n + 1)

A: 12·4+14·6+....+12n2n+2=n4n+1 Let Pn=12·4+14·6+...+12n·2n+2=n4n+1

Q: A law firm is run by four partners (A, B, C, and D). Each partner has one vote and decisions are…

A: Let us solve the given problem step by step  The coalition is with A and the senior partner wins…

Q: b. Minimize z = 6x₁ + 3x2 Subject to Primal Dual Problem 6x13x2 + x3 ≥ 25 3x1 + 4x2 + x3 > 55 X1,…

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Q: (1) a) Match each of the following differential equations with one of the direction fields. (6) (ii)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…