force F = 5cos3t. Determine the position of the mass as a function of time. Given the differential function mu" + ku = F(t). O y = (cos2t + sin3t) O y = 1/2(cos2t - cos3t) O y = 3/5e-2t +e²t O y = 2/3cos2t - 5cos3t

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A: Let us find the value of log(337.5) by Everett's formula in the next steps.

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Q: Find the general solution of each of the following partial differential equations 9uxx-21Uxy + 49Uyy…

A: Find the general solution of each of  partial differential equations  9uxx - 21uxy + 49uyy = 0

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Q: 1. Find the root of f(x)=x²+2x²-5x-6, using the initial guesses of x₁ = -4.5 x=-1.0 and a…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Given that fx=x2+lnx. We have to evaluate f2 by using the third Taylor polynomial P3x for fx=x2+lnx…

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Q: 1. If Alice uses the RSA modulus N = 77 and e=17, what is d? 2. Decrypt the message 5559 vising an…

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Q: 5. Invent a positive integer a that has at least 8 decimal digits and a ones digit of 7. Estimate…

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Q: 16. A series of elements to the power of zero.

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Q: Use least-square regression to fit a straight line to the given data below: x y 3 12.3 5 14.1 6 13.0…

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Q: y" - y' - 12 y = e^(x/3)-e^(-x/3) A) Find the complementary solution of this homogeneous equation B)…

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Q: In order to solve with y(0) = 1 we first (2y-5)dy = (3x² - e²)dr. After y²-5y = 2³-e²+c of…

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Q: (b) 1 (c) e 1 123. the curves y=-e* and y=In (ax), (where a is positive) has only one point is comm…

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Q: QUESTION 2 A professor design an online quiz covering six different topics. The quiz has one…

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Q: X3 X5 For approximately what values of x can tanx be replaced by x-3+5 with an error of magnitude no…

A: Solutions

Q: 1. Solve each linear system below. Give a geometric interpretation of each system, by describing the…

A: Given system is 2x+y-z=10-----(1) -4x-2y+2z=-10-----(2) 2x-y+5z=3-----(3) (or)…

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A: We want to find domain and range of given graph.

Q: 4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b)…

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Q: At by first finding a fundamental matrix X(t) for x' = Ax and then using the formula e At 099 A = 90…

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Q: -Solve the following differential equations: 1)+²=x² (Integrating factor).

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: (a) (√3-i) =

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Q: INSTRUCTION: Prove or disprove 1. Show that f: R-{-}→ R-{} defined by f(x) 3x-5 = is bijective. 2x+1

A: Given :  f: ℝ--12→ℝ-32   defined by ;                f(x) = 3x-52x+1 To prove : f is bijective.

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Q: Compute [₁_₁fdx, where f(x)= | x | .

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Q: Consider the nonhomogeneous linear system of differential equations: (*) [16³]. (a) Find…

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Q: II. Draw the next two figures in each pattern below. 1. 2.

A: To find- Draw the next two figures in each pattern below.

Q: Evaluate cos dV, where E is the region enclosed by the E sphere p = cos(4).

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Q: Suppose the invertible n x n matrices U and V satisfy the special properties U2 V2 and UVU = V. (a)…

A: Given : U and V are n×n matrices such that  U2 = V2  and   UVU = V. To prove : UmVUm = V  for all…

Q: Problem 2 Find the differential equation of the family of circles of fixed radius r with center on…

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Q: 2. Let a1, a2, a3,... be the sequence defined recursively as follows: a₁ = 1, a2 = 20, and for all k…

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Q: Problem 15.11 For the following functions f(x) on the interval -L<x< L, determine the coefficients…

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Q: Find the center of mass for the region bounded by y=3-e&x= 2 in the first quadrant. a.…

A: Centre of mass of bounded by the curves in first quardent

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A: Percentage change for Services: Percentage for 2010 is 68 and for 2020 it is 69% Hence Percentage…

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: We have to find how many terms of the series do we need to add in order to find the sum to the…

Q: Use flat random numbers to estimate л.

A: Let us estimate the pi using flat random numbers in the next steps.

Q: 3. Given the system dt 2 -3 - (² 3²³) * 2 (a) Find the general solution. (b) Find the solution that…

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Q: Let V be a finite dimensional vector space over F and let W₁ and W₂ be two subspaces of V. Then,…

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Q: form of (3+3i)^5

A: Given,      (3+3i)5

Q: Let D be the planar region occupied by a thin plate with n and density function 8(x,y) = y². If C C…

A: Introduction: The moment of the lamina with density function d(x,y) about the x-axis and y-axis is…

Q: Consider the following matrices: 1 A = B = C [32] -6 3 6 Compute the following expressions or…

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