What is the solution to the following special cases? You must apply the appropriate method after transformation. Show complete solution. Problem 1: [(4x + 3)²D² − 12 (4x + 3)Dx + 64]y = 16[(4x + 3)² sec² (ln|4x + 3|)] Problem 2: x³y"" − 3x²y" + 6xy' — 12y = 2x¹ + lnx - -

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Q: The following polynomial has factors (x + 8) and (3x + 2). Determine the value of k. -6x³-55x² + kx…

A: We have a polynomial -6x3-55x2+kx-16 Now, x+8and 3x+2 are the factors. So,  x+8=0 ⇒x=-83x+2=0 ⇒x=-23…

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Q: 1) Compute y (0.5) with y!!! xy¹ = (1-x) ex by Taylor series y (o)=yl (o)=y" (a)=1₂h = 0.5 16 Euler…

A: Given That :  y"'-x y'=(1-x)ex y(0)=y'(0)=y"(0)=1, h=.5 To Find : compute y(.5) using Taylors series…

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Q: Put the equation y Answer: y = = x² + 14x + 45 into the form y = = (x − h)² + k:

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Q: Q2:al Use separation of variables to find the solution of the following Initial Value Problems.…

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Q: Q4:a\ Use Euler's method and three steps with At = 0.2 for the differential equation y' = 3t- 2y²-2,…

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A: As per the question we are given an integer optimization problem with objective function : f(x) =…

Q: 8. How many transformation convert the function f(x) = D. 6. 3ª to g(x) = 3-2-6? A. 1. B. 2. C. 3.

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

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Q: Solve the initial value problem below using the method of Laplace transforms. y" - 3y'-10y = 0, y(0)…

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A: For the given future value of $12500 at the annuity of 4% interest Periodic payment is  $84.89

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Q: bl A field mouse population satisfies the Initial Value Problem: dp = 0.5p-400. p(0) = 600. dt (a)…

A: Given That :  Differential Equation is  dpdt=.5p -400 ,p(0)=600 To find : time at which population…

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Q: Find the numerical value of the area under the normal curve that is above the mean.

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Q: -4 -2 20 15 10 5 2 4

A: To determine the solution of the given problem, we have to compare the properties of each of the…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: b) Find general solution and paticular solution to the following 2nd order ODE initial value…

A: Since you have posted a multiple questions. So,  we will solve only first question  for you. To get…

Q: 13. List the Taylor series centered at x=0 (that is, the Macluarin series) for each of the following…

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Q: Q1:a\ By checking all that apply, classify the following differential equations: a) order and degree…

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

Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x − 1)² +…

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Q: Find the angle between the vectors. u = (4, 2, 0), V = = (-2, 4, 5) 0 = Need Help? radians Read It…

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Q: Find ||u||, |v||, and ||u + v||. u = (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

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Q: I am also struggling with drawing a spanning tree using the breadth-first search when the following…

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Q: Suppose that A is an n x n matrix such that A² = 0. a) Show that if 7 E im(A), then 7 € null(A). (In…

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Q: appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Compute the monthly payments for each add-on interest loan. The amount of the loan is $1300. The…

A: Addon interest also known as simple interest formula is given by the equation; A=P1+rt100 Where A is…

Q: Compute the monthly payments for each add-on interest loan. The amount of the loan is $1300. The…

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Q: if y = (1/3)x, which of the following indicates all possible values of y?   a. y>0   b. y≥1…

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Q: 1. Complete the following to find a density function 8. A) Suppose that the density at each point in…

A: Solution :-

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Q: Solve the given initial value problem. x' (t) = 59 95 x(t), x(0)= 6 4

A: Let x'(t)=Ax(t), where A is a 2x2 matrix.To find the solution we need to follow the following…

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Q: Given the following functions, evaluate each of the following: ƒ(x) = x² − 13x + 42 g(x) = x − 7 (ƒ…

A: I have given the answer in the next step. Hope you understand that

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

A: Let us consider a function f(x). To approximate the zeros of the function using newton method find…

Q: Solve the initial value problem below using the method of Laplace transforms. y" +8y' +12y = 21 e¹,…

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Q: Using Newton's method, the approximation of the root x* of f(x) = -x + sinx - 1 accurate to within…

A: Sol:- Let f(x)=-x+sin(x)-1ddx(-x+sin(x)-1)=-1+cos(x)∴f'(x)=-1+cos(x)x0=-1.9

Q: $450 is deposited at the end of each quarter for 1.5 years at 10% interest per year compounded…

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