Use the method of variation of parameters to find a particular solution of the differential equation 4y" – 4y' + y = 48e¹/2 that does not involve any terms from the homogeneous solution. Y(t): =

Q: Evaluate the integral by making an appropriate change of variables. 7 Cos (3 (V=X)) d y + x 637 6…

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Q: = f(t) = t6 — 4t² +5 -

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Q: Find the equilibrium condition for the following nonlinear equation, and linearize it near the…

A: The given non linear differential equation is x¨+5x˙+4x=5-x2. We need to find the equilibrium point.…

Q: Let  A1 = {1,2,3,4,5}, A2 = {6,7,8,9,10,11,12} and A3 = {13,14,15,16,17,18,19}.  How many non-empty…

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Q: Find a direction in the xy-plane in which f(x, y) = e¹-xy has zero change at the point P(1.0. e).

A: We know directional derivative formula Du→fa, b, c=∇fa, b, c.u^ Lets say u→=cosθ, sinθ be the…

Q: -X (D² — 1)y=eX (2sinx + 4cosx).

A: As per our company guideline we are supposed to answer only first qs, kindly post remaining qs in…

Q: 7. Find the volume of the solid bounded by the surfaces z = x² + y² and z = 2-√√√x² + y².

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1) If the price charged for a bolt is p cents, then x thousand bolts will be sold in a certain…

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Q: Evaluate L. ['¹e [V. 0 √3y 1-y² (x² + y²)¹/²dxdydz

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Q: Please

A: We find required Inverse Laplace Transform.

Q: 1 the 8 A mass weighing 16 pounds stretches a spring feet. The mass is initially released from rest…

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Q: 60. Find the slope of the line whose parametric equations are "x=2 + t" and "y=2t" 6 prive bruptl a.…

A: As per Bartleby rules we have to answer only one question.

Q: a Find the Fourier transform of the signal x(7) = 2 cos(m)[(1+3)-(1-3)], using the Fourier integral.

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Q: 4 A. 1 B. 2 C. 3 D. 4 If the correct answer in (2) is equal to -, how many case/s is/are possible? 5…

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Q: Find the determinant by row reduction to echelon form. 1 1 7 0 -7 -7 - 1 02-6 - 3 3-11-8 Use row…

A: To Find: The determinant by row reduction to echelon form: 1-11701-7-7-10-2-6-33-11-8

Q: FIELD FIND A POTENTIAL DETERMINE WHETHER THE VECTOR IS CONSERVATIVE. IF IT IS Function FOR THE…

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Q: Use the transformation u = y - x, v = y, to evaluate the integrals on the parallelogram R which has…

A: We need to evaluate the integral: ∬Ry-xdA using the transformations: u=y-x, v=y. Here, R is a…

Q: One type of strontium has a radioactive decay rate of 1.4% per day. If 30 pounds of this strontium…

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Q: Find the convergence interval and radius of the series : ²n=0

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Q: Directions: Translate each argument into symbolic form (using the suggested letters) and determine…

A: To find- Translate each argument into symbolic form (using the suggested letters) and determine…

Q: A company has a central document copying service. With the present copy machines, the average time…

A: Hints: It is given that in old machine the average time to making copies is 3 minutes and in new…

Q: 34 12 25 13 5 30 22 a.) Pivot variables of matrix A? 0 1 1 1 -2 1 1 Let A = b.) Free variables of…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Solve for the system of linear equations using Cramer's Rule. For the determinants, use any method…

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Q: In this problem, verify that the given functions y₁ and y2 satisfy the corresponding homogeneous…

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Q: True or False?: The following is a statement: 1) Coke is better than Pepsi. 2) More restaurants…

A: To give the answer as either True or False.   The following is a statement (True or False) 1) Coke…

Q: Find the Fourier Series Representation of the given function: -T f(t) TU -TC π -t

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Q: I For the area bounded by the given curves: Area under the first arch of the curve y = sinx Fund: a)…

A: Note:- As per our guidelines, we can answer the first part only as exactly one is not mentioned. For…

Q: Calculate the norm of the linear functional 1 į t f(t) dt on each of the spaces 0 (C[0, 1], || ||)…

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Q: Question 1 two variables. Given the function of f(x, y) = -9x² - 2xy - 8y² - 3 a) Find all critical…

A: 1. Given function is fx, y=-9x2-2xy-8y2-3   (a) To Find: All critical points of the function.   (b)…

Q: Consider the following zero conditional mean assumption: E(ut|xs1, …, xsk) = 0 (1). Which of the…

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Q: Find the Euclidean metric tensor (in matrix form) for Spherical coordinates. if (x²) Spherical…

A: Given :             x1=x1sinx2 cos x3x2 =x1sinx2sinx3x3 =x1 cos x2 To Find : Euclidean metric tensor…

Q: 47. Describe in words the vector shown in the diagram. 150 km/h 48. Draw the vector 75 m N70°W.

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Q: Which of the following is correct? 1 1+32-1 3. A. X(z) of 3mu(m) = B. X(z) of 3mu(m) = C. X(z) of…

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Q: uppose the function y=h(x) is nonnegative and continuous on [x,B], which implies that the area…

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Q: Consider the following matrix A 2 -5 4 -1 2.6 2 5 -3 9 Select possible error magnification factors…

A: Given the matrix A=2-54-12.625-39

Q: If f(x) = 3x - 2 and g(x)=x²-1, find a formula for (fog)(x). Enter your answer as an expression…

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Q: A spring is stretched 6 in by a mass that weighs 8 lb. The mass is attached to a dashpot mechanism…

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Q: Use cylindrical coordinates to find the volume of the solid that the cylinder * = 4 cose cuts out of…

A: Introduction: In mathematics, an integral is either a definite value representing the region under a…

Q: 13.9y" +12y + 4y = 0, y(0) = 2, y'(0) = -1

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Q: In spherical coordinate instead of one in rectangular coordinates, when is it advantageous to use a…

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Q: A Cartesian and a polar graph of r=1-3 cos (40) are given. Identify the points on the polar graph…

A: We need to use relation between cartesian and polar co ordinate  x= r cosθ , y= r sinθ

Q: Find a single vector that has components of 42 m north and 16 m east.

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Q: • fax² =lnx-1-1, x² (0, +00) Tim +^ ^²(x) = +001 *7+00 Find Tim X-400 F(x) e+

A: As per the question we are given the following function : f(x) = ln(x) - (1/x) - 1 And f-1(x) is the…

Q: Use separation of variables to find a product solution to the following: du du x=y ?х ay

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Q: Express the series in terms of elementary functions and find the where the series converges. ∞ Σ…

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Q: B and B two bases given in R". B = And 10000 100) A -1 2 B = 41 Determine the transition matrix of…

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Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

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Q: (a) Let F(s) = L{f(t)}, where f(t) is piecewise continuous and of exponential order on [0, ∞). Show…

A: Solution a: Given that f(t) is piecewise continuous and of exponential order on [0, ∞). We have to…

Q: Q1. The position vector of a moving point is given as: R()=(2 Inr) (-((+1¹) j (a) Express the unit…

A: Solution:

Q: FIND THE GRDIENT VECTOR FOR THE SCALAR Function 10x2 t бху + 7уг Fix, y) = +

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