(x − 1)y" + y' = 0

Q: Find a closed form for the generating function of n3" (n ≥ 0). the sequence an Clearly show all…

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Q: 500 e demand function P(x)=- 0.01x 50 How many accessories must be

A: Given as, Px=5000.01x2+1 , 0≤x≤50.

Q: Use the figure below to answer the following question(s). B A Graph 1 Graph 2 Which of the graphs…

A: To find- Use the figure below to answer the following questions(s): Which of the graphs has an…

Q: Q.2 Evaluate t*e2t

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Q: hart. Match th

A: Given: y=25sinx-πy=-13csc2xy=5cotπ--8y=-6cootx-10y=5sec(2x+2π)y=-3tanx2

Q: Let A be an invertible, n x n matrix such that A² = A. a) Calculate det(A). b) If n = 3, what is A?…

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Q: Q3: Using Laplace Transforms, find the solution of the initial value problem: d²y +9y 9. sin(t). U(t…

A: This is a problem of Laplace transform.

Q: 1 (b) Find Fourier cosine transform of f(x)=< -1 <x< 0<x</

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Q: Student T23456TDORFER 15 = b.) r=-0.045 IQ Score Statistics Grade

A: If there are n samples and two variables x and y then the correlation co-efficient is given by…

Q: First the pieces: End result (in terms of just t): = 江 西 | Use the chain rule to find, where di N =…

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Q: 4. The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A: Let b and h be the base and height of the right triangle. Given, fences are along base and height…

Q: 11. Prove: If G is a simple connected graph where the average degree of the vertices is exactly 2,…

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Q: ] Evaluate the double integral that will find the volume of a solid inside the paraboloid 2 = 1 - y²…

A: Volume V=∬zdydxV=∬1-14y2-x2dydxGIven z=1-1/4y2-x2 and above xy-planeThe limits of y is from 0 to…

Q: Consider the geometric sequence Po = 3, P₁ = 9, P₂ = 27, ... a) Find the common ratio R = b) Use the…

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Q: b.) Evaluate the following integral: !!! * xyz dv if S is the region bounded by the cylinders x² +…

A: Use the following formulae, to obtain the solution. a-b2=a2-2ab+b2∫Cfxdx=C∫fxdx∫xndx=xn+1n+1+C Where…

Q: There is a country with six states. There are 300 states in the legislature, and the populations of…

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Q: Find the root of x²-x-10 = 0 approximately up to 5 iterations using Bisection Method. Let a = 1.5…

A: The bisection method uses the midpoint of an interval to perform the iterations to approximate the…

Q: f(x, y) = ln(108x +9y) + 6x² - 9y Local maxima are none Local minima are none Saddle points are none…

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Q: Obtain the z-transform of the following: x(n)=na" sin(an)u(n)

A: Let us start solving the problem step by step.... We need to find the z-transform of x(n)

Q: 10s²+17s+12, S³+27 g. 8. L-110.

A: We need to evaluate the the value of L-1{10s2+17s+12s3+27} Formulas for inverse Laplace…

Q: dy dt = y(у — 4)(у — 8), до 20

A: see my solution

Q: 3. Find f'(x) if f(x) = 2x + sin³ x

A: Here we use the quotient rule of derivatives. It says ; d/dx (u/v)=( v*u'-u*v' )/(v^2) Where u and v…

Q: 4. Let A = {1,2,3,4). Find a non-empty relation on set A such that the given conditions are met,…

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Q: The AP"Q"R" is the final image after two transformations. The preimage A PQR was first dilated by a…

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Q: Consider the following IVP: y''-3y'-10 y=1, y(0)=-1,y'(0)=2 (a) Find the Laplace transform of the…

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Q: Show that the substitution = e, y = e converts the equation Т Hu ди дzu ди +y2 +x ду? Әх дх2 ду into…

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Q: 16. A population grows according to the exponential growth model. The initial population is Po = 6…

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Q: 1. Let V be the set of all 2 x 2 matrices 4-[*]s a. Is V close under addition? Show your proof. b.…

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Q: R UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. I'LL DOWN

A: Introduction: The formula for the Taylor series of the function f(x) centered at x=a is given by,…

Q: Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area…

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Q: Suppose each matrix below represents the augmented matrix for a system of linear equations. For…

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Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

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Q: 1. I. Evaluate each determinant. -3 -4 -5 3

A: Solution :  Given that  -5-33-4

Q: = Solve the following PED: д и ди дı дх² = if u (x, 0) = 2x when 05x52

A: Given PDE is ∂u∂t=∂2u∂x2                    (1) also given that at u(x,0)=2x when 0≤x≤l2 By variable…

Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: -plain briefly whether a assume b is an integer ( ssible the assumption

A: Given image as,

Q: 6) Consider the plane P: z+y-z = 0 in R³ that contains both the points P₁(1, 0, 1) and P₂(0, 1, 1).…

A: Given the plane P : x+y-z=0 and the points P11,0,1, P20,1,1

Q: 4.6-2. Consider the following problem. Maximize Z = 4x₁ + 2x₂ + 3x3 + 5X4, 2x₂ + 3x₂ + 4x3 + 2x₁ =…

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

Q: = —y (2 — y). Draw a direction field for the differential equation y' : Based on the direction…

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Q: Newton's Law of Cooling states that a hot object cools down at a rate proportional to the…

A: Solution : Given, T(t)=20+70e-0.034t a) Checking for initial condition t=0, T(0)=20+70=90 °C Which…

Q: Note: The formula for logistic growth is given by PN+1 = r PN(1-PN). A population grows according to…

A: Solution : Given, Formula of logistic growth, pN+1=rpN1-pN r=0.5 p0=0.9 By putting the given value…

Q: e function below has at least one ratio se this fact to find all zeros of the funct g(x)= 10x³ - 33x…

A: The rational zeros of the function is to be determined. gx=10x3-33x2+8x+3

Q: Write the function in the form f(x) = (x1 k)q(x) +r for the given value of k. f(x) = x³ - 6x² - 13x…

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Q: Let xbe inner Product x+y Lx_y

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Q: QUESTION 3 Let V be a vector space and let u, ve V. IfW= (au+Bela, ß e R), prove that W is a…

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Q: (a) Give the partial derivatives of P. Pr,s)= 2rs +². - 5s + 2 Ps(r,s)= 2² +r2s - 5r (b) Which graph…

A: To find value of s which minimize the function f(s).

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: Six₁ - ix₂ = −2 2x₁ + x₂ = i x2

A: First we will write the given system in a matrix form then we will find the inverse of the…

Q: Find the solution of the given initial value problem in explicit form. 1 y' = (1 - 13x)y², y(0) = -…

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Q: Solve for the missing lengths and angles.

A: Introduction: If two triangle sides are congruent, the angles opposite these sides are also…