. Use undetermined coefficients method to find a particular solution of the non-homogeneous ODE y" + 4y = (5x² − x +10)eª.

Q: Solve the following equation completely x^5+13x^4+62x^3+134x^2+129x+45=0

A: To find- Solve x5 + 13x4 + 62x3 + 134x2 + 129x + 45 = 0

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Q: 5. If X={a,c,g} anc Σ={{a}, {a,g} {c,g}}, what is T(E)? A. T(E)= {Ø, {a}, {g}, {a,c}, {a,g}, {c,g},…

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Q: iagonalize the following matrix: 21 4 1-4 31 -1 24001₁ 111-12 C - 0

A: A matrix is diagonalizable if A.m. of each eigen value = g.m. of corresponding eigen value

Q: 12. f(t) = 0, t, 0, t > 2. 0≤t<1, 1< t < 2,

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Q: Consider the following. -1 0 O (a) Plot the given points. 6 1 y 4 2 3 4 5 2 y -1 3 7 11 15 19 23 O…

A: a)Correct answer is option A) b) the best fit model is linear (option a)

Q: Calculate the area, in square units, bounded by f(x) = -7x³ - 6x²-3x+8 and g(x) = -6x³ - 15x² + 11x…

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Q: . Show that 3x4+1 is O(x4/2) and x4/2 is O(3x4+1).

A: This question is related to real function and Big O notation

Q: Vf = Find the gradient Vf of the function f given the differential. df dƒ = (2x − 1) ye¯*dx +…

A: Given differential of function is  df=(2x-1)ye-xdx+x2e-xdy to find the gradient of the function.

Q: (a) Given the vector field G=16xyi+12y]+(2-xy) use Gauss divergence theorem to find the net flux of…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 1. Find the next number in the sequence. a. 4, 12,20,28,. b. 7, 20, 47, 94, 167,. 0,6, 24, 60, 210…

A: "Since you have asked multiple questions with multisubparts, we will solve the first question with…

Q: 1. Set up the iterated double integral of f(x, y) over the region R using the order dxdy and dydx.…

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Q: nd an equation of the following function: 5п 4 sinusoidal function that has an amplitude of 3, a…

A: Amplitude is 3 and periods is 5pi

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Q: 2. The concentration of salt in a fish tank at position (z,y,z) is given by f(x,y,z) = 4 + xy + y² +…

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Q: Section 2.6 1. Consider the production model x = Cx+d for an economy with two sectors, where 0 0.5]…

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Q: The indicated function y₁(x) is a solution of the given differential equation. x²y" - 5xy' +9y = 0;…

A: Please find attachment. In this problem P(x) is coefficient of x if coefficient of x2 is 1.

Q: A = -i+2j+k Ď= -5t + 3j-k - Find the following: a) 2A C+3D B . . B = i +4j+5k E = -37 + k Ċ =…

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Q: Is there any other method you can use besides this one

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Q: Suppose a certain manufacturing company produces connecting rods for 4- and 6-cylinder automobile…

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Q: I need help with part b and c, please show me all the steps.

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Q: Evaluate (x² + y² +z) dS, where S is the boundary of the finite region bounded by the graphs of the…

A: Given: RegionS is bounded by the paraboloid z=4-x2-y2 and z=x2+y2. To Find :∫∫Sx2+y2+zdS.

Q: The limit lim h→0 f(x) a = 1 = x^3 (1 + h)³ - 1 h represents f' (a) for some function f and some…

A: We know that: f'(x)=limh→∞f(x+h)-f(x)h and f'(a)=limh→∞f(a+h)-f(a)h.

Q: dy (a) Use the fact that 5x² - y² = c is a one-parameter family of solutions of the differential…

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Q: Find the nth term in the Fibonacci Number Sequence using the golden ratio. Show your solution Use…

A: The nth term of the Fibonacci sequenceFn can be calculated using the formula: Fn=φn-(1-φ)n5, where φ…

Q: = = zi + xj - 3y²k and S is the surface of the cylinder 4. Evaluate ff A.nds, where A S x² + y² = 16…

A: Given : A=zi^+xj^-3y2 k^          ,            x2+y2=16   , z=0 and z=5 To Find : ∬S A·n ds Note :…

Q: 2. Airport B is 300 mi from airport A at a bearing N 50° E (see the figure). A pilot wishing to fly…

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Q: The principal represents an amount of money deposited in a savings account subject to compound…

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Q: 4. Consider the constant rate of decrease of certain microorganisms. At the start, there are 12,000…

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Q: Translate the statement into the logical notation of propositions and quantifiers using appropriate…

A: Notations and Definitions to be used: 1) Universal Quantifier: It is used to represent the…

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Q: Q1: Prove (a) Markov's Inequality for non-negative continuous random variables U. (b) Chebeshey's…

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Q: #i a) Home Work set 3 Hualyris. Consider the series. Erinti گے ni 3 3√n (lnn) ³ Is this secives…

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Q: Let f(x) = x5 + 5x and g(x) = x5 + x2. Does f ∈O(g(x))? Does g ∈O(f(x))?

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Q: 8.4.12 (p. 428) [u(t - 1) - u(t - 2)]t; e ~* ( ²1⁄2 + ²¹ ) − e ¯²³ ( 1²1/1 + ²3² )

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Q: Suppose (B - C) D = 0, where B & C are m x n matricies and D is invertible. Show that B = C.

A: Given that  (B-C)D =0 here B and C are m×n matrices

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Q: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root…

A: Part a Let the sides of the isoscles triangle be x,y,z. The given statement can be written as: x+y=z

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A: Note: As per the honor code, only one question can be solved at a time and up to 3 sub-parts only.…

Q: Suppose an investor purchased x ounces of gold in January 2006 at the prevailing price of $549.86…

A: Suppose an investor purchased x ounces of gold in January 2006 at the prevailing price of $549.86…

Q: Let (an) be the sequence defined by an 2.5.8 (3n - 1) (n+1)! 4n+1 ... 1 for all n € N. Determine if…

A: The details are given in step 2. Basic theorems on sequences will be used to answer this question.

Q: Let p and q represent the following statements. p: 6+7=12 q: 2×9=36 Determine the truth value for…

A: We have given that p and q are following statements. p: 6+7=12q: 2×9=36 We need to find truth value…

Q: Find an explicit solution y' = - (1−2x), y(1)= −2

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Q: 45 A = 7 9; B= 45 9026 3 8 10 Which operations are possible: A+B and/or A B Neither A + B nor A* B…

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Q: Consider the the linear maps ƒ : R² → R² and g : R² → R² given by f((x, y)) = (x − y, 2 + y) and…

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Q: solve parts 4-8 and write out the full equation for Option 2 bc im not really understandings option…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: Some applications of calculus use a mathematical structure called a power series. To find the…

A: We know the definition of interval of convergence, Let ∑n=0∞ cnx-an be a power series about a where…