Find a particular solution to -18.5e-2t y" +4y +4y = 12 + 1

Q: x(t) = t² + 2t – 3 %3D y(t) = t² + 2t – 30 What is the length of the segment of the curve between t…

A: Given parametric curve is xt=t2+2t−3 and yt=t2+2t−30. We have to find the length of the segment of…

Q: Assume that the nth term in the sequence of parti is convergent or Determine if the series o

A: Given, the series               ∑n=0∞an and        Sn=5+8n22-7n2

Q: F-1S 1+(A+6)² } e-5id a) te6i(x-5)-|r-5| O b) None of these 이 Je 0(2+5)-l2+5| d) 공e6i(2+5)-|»+5히 Oe)…

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Q: Determine whether the following series converge or diverge. (-1)"-1 2n + 5 2. F-1)"-1 Vn - 3 1. n=1…

A: According to our guidelines I solve first 3 subparts so kindly request you to repost the remaining…

Q: (b) Determine all functions f=u+ iv that are analytic in the whole plane and has the property that…

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Q: Find a basis for the row space and the rank of the matrix. 8 -7 5 5 10 6 2 -3 1, (a) a basis for the…

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Q: 1. find the linear approximation to /(x) at x = Xg. Use the linear approximation to estimate the…

A: Linear approximation

Q: 5. Given the initial value problem dy dt t(y + 1), y(0) = 2 use Euler's method with at least four…

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Q: 4. Find the number of surjections from (1, 2, ..., m) to (1, 2, ..., n) such that no element in the…

A: We have to find the number of subjection.

Q: Show a separate graph of the constraint lines and the solutions that satisfy each of the following…

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Q: Which of the following sets is not a vector subspace of p? OA. W = ((x,y)x = 2y} O B. W - ((x,y)y-…

A: Subspace of a vector space

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: Given The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 We have to calculate the inflation…

Q: Find the inverse Laplace transform of 6e-1s + le-3s + 3e-5s + 2e-8s F(s) = (Use step(t-c) for u.(t)…

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Q: (2 1) LA 3 4/

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Q: Find a basis for and the dimension of the solution space of the homogeneous system of linear…

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Q: 3x' - y = 2t; x' + y' - y = 0; x(0) = y(0) = 0

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Q: * = -. y = 4 y = 4, 0 < t < 1 0 <t < 1

A: Given curve is x=4t−43t3 and y=4t2, 0≤t≤1. We have to find the area of the surface obtained by…

Q: (2) iha for the volume below...if washer method was used .. What are the * ?limits of integration…

A: Given curve is y=x−1, y=0, x=5 and about y=3. We have to find the limit of integration for the…

Q: sin x For f(x)= (n+ gx)*, find f'(0.1) and f"(0) correct to three decimal places. n: Student number…

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Q: (c) Let T:V +W be a linear transformation. Prove that if we restrict the domain of T to the…

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Q: 2. f(x) = x +2 - 00 ー100 Solve this question by the Fixed-point method on the topic of solution of…

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Q: Susan and Toby created a list of their monthly household expenses, as shown below. Mortgage:…

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Q: 10. Find the solution of the wave equation if the initial velocity is zero and the initial…

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Q: Find the exact area of the surface obtained by rotating the curve y = x', 0< x < 2, about the…

A: Volume by rotation

Q: Triangle ACH is isosceles with altitude 25 cm and base angles HÃC = HCA = 65°. a Find the length: i…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: The function P(t) = t² (2t + 3)5, can ONLY be differentiated by using the product rule. Select one:…

A: The product rule of the differentiation can be stated as f·g'=fg'+gf'.

Q: Find the volume of the region bounded above by the surface z 6-y2 and below by the rectangle R:…

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Q: You are required to solve Poisson equation for U(x,y): v?U = ax? ay? = 4.084 +4.689 xy in the region…

A: The usual 5 point scheme is given by  ∇2U=fx,y4Ui,j-Ui-1,j-Ui,j-1-Ui+1,j-Ui,j+1=h2fxi,yj where…

Q: SHOW THE SOLUTIO N: Solve using J Mdx(y = constant) +J Nthe term not contained x)dy = A (3x² – 2xy +…

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Q: (b) Nonsingular matrir P such that D = P-1AP is diagonal. 1 Using the vectors in the bases for E and…

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Q: The solution of Laplace's equation Urx + Uyy 0 < x < 3, 0 < y < 4, subject to the boundary…

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Q: 2. Using an augmented matrix and elementary row operations, show that the system of linear equations…

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Q: Determine the y-coordinate of the centroid of the shaded area. x = ky? I---x

A: The given problem is to find the y coordinate of the centroid of the given shaded region. Shaded…

Q: (a) Show that if A is a diagonalizable matrix with non-negative real eigenvalues, then there is a…

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Q: 2m+1}. Show that using (e) Let x* = j/2m for some m eN and some j e {0,1, Forward Euler with N steps…

A: As per the question we have to use Forward Euler method with total steps N = 2m And then we have to…

Q: The Nicols are buying a house selling for $235,000. They pay a down payment of $35,000 from the sale…

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Q: P3 Determine an eigenpair of the following matrices using Newton's method starting with the…

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Q: f(x)=X +Sin -1 く(-2)- 4-て+Sini-て)-\no9651 3(x)=てメ+ cosx ずし-て) ニ -4ACOS(-て)-3 (x)-2-らinx f(-2):…

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Q: If y = (5x+ 1)(2x- + In x), then will be dx A. (5x + 1) (+;)+5(2x-1+ In x) В. B. (5x + 1) (-) +…

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Q: 4.31 The midplane of a uniform triangular plate is shown in Figure P4.31. Find, by integration: a.…

A: note :  As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: Let S be part of the surface z = 3+ 22+ y above the region a + y S 10, oriente %3D upward. Compute…

A: Given that S is the part of the surface z=3+x2+y2 above the region x2+y2≤10, oriented upward. Let us…

Q: Find the general solution ofthe system whose augmentedmatrix is given in the following, Q. No. 1 [1…

A: Solution of the system of linear equation

Q: The particular salution Por y= -3y-4y + + l1t+15 iss 8 -2e-3t +4 where y Sy +by + 3 et 156=20 O -2e…

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Q: (c) Let T:V + W be a linear transformation. Proe that if we restrict the domain of T to the…

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Q: A ball is dropped from a 278.46 ft

A: The ball is dropped from 20 feet. Each time it drops h feet and it rebounds 0.81h therefore for the…

Q: 1. Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

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Q: b) Using the basis S in (a), find [T)s if ū = (2, i, 2 – i).

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Q: Using Frobenius' method, find a solution to 2²y" – 2xy + (x² + 2)y = 0.

A: The given problem is to solve the given differential equation using the forbenius method. Given…