2) A spring has a mass of 2 units, a damping constant of 6 units, and a spring constant of 30.5 units. If the spring is extended 2 units and then released with a velocity of 2 units. A forcing function of et is applied to the spring. Answer the following. a) Write the differential equation with the initial values. b) Find the displacement at time t = 2 c) Find the velocity at time t = 2 d) What is the limit of x(t) as tend tends to infinity?

Q: Consider the following linear program: Required: a. Use the graphical solution proceduret o find…

A:

Q: 4. (1 + e) dx + e(1) dy x (1) dy = 0 [Answer : x + yev = c]

A: The given problem is to find the solution for the given differential equation. We can solve it by…

Q: Find the radius of convergence, R, of the series. R = 8 Σ n = 1 I = n²x^ 3 6 9 (3n) Find the…

A:

Q: km Two cars, one going due east at the rate of 90 and the other going due south at the rate km…

A:

Q: f( ={ 2t, 0≤ t ≤ 1 t, t > 1

A:

Q: n circle a measure of angle lam=42, measure of angle hag=30 and ange kah is a right angle. find the…

A: To evaluate measure of angle of an arc

Q: let G be for an an integer nyo. the map an : from G into G. Characterize the kernel of & Show that…

A: Introduction: In group theory, the Abelian group is very important. When a group follows the…

Q: 3.1.P15 Let n ≥ 2, let x, y € C" be given nonzero vectors, and let A = xy*. (a) Show if y*x #0 and 0…

A:

Q: (6) (D4 + 40²-5D-36 D-36) Y=0 [An: y = ₁₂e³x² + c₂e³ + (Ca+hu) 0-24

A:

Q: or false: The (i, j) cofactor of A is the determinant of the matrix Aij. True False

A: We want to find the given statement is true or false.

Q: (P) is a circular paraboloid around z-axis and (Q) is the surface given by + += 1 This option (P) is…

A:

Q: Find the volume of the solid generated by revolving the region bounded by y = 2√√ and y = z about…

A:

Q: 7. Evaluate cosh (ipi/4). a. 1.414214 2270 degrees b. 0.707107 20 degree c. 1.414214 2180 degrees d.…

A:

Q: Question 1a. [3 Suppose that in a random experiment you observe the number of printers used at a…

A:

Q: A half range periodic function g(x) is defined by 1, 0 < x < 1, 2. 1 < x < 2. g(x) = { i. Sketch the…

A:

Q: Find a polar equation for the conic that has its focus at the pole and satisfies the…

A: We need to determine the polar equation of the hyperbola which has its focus at pole, e=54 and the…

Q: Find the general solution of the differential equation y" + 2y + 5y = 2 sin(2t). NOTE: Use c₁ and ce…

A:

Q: Let (P) be the surface given by the following equation z = 5-x² - y² and (Q) be the surface given by…

A: A quadric surface is the graph in the three dimensional space with x, y and z axis. There are six…

Q: The exchange rate between Omani Rial and Turkish Lira is one Omani Rial = 12.2 Turkish Lira A ) Draw…

A: We need to use the relation: 1 Rial = 12.2 Lira to plot the graph and convert 500 Liras into Rials.

Q: The vector space C[a, b] of all continuous real-valued functions on [a, b] is not the span of any…

A: Given C[a, b] is vector space of all continuous real-valued functions on [a, b].

Q: h) Find a parametric representation of the Parabolic equation z = 9(x² + y²)

A: Parametric representation of the Parabolic equation z = 9(x² + y²) will be cartesian coordinates as…

Q: Let X and Y be continuous random variables having a joint probability density function (pdf) given…

A:

Q: 2) [3 d A) Solve the IVP: dy dx (2x − 4)- - - 2 ln 5x + 2y = 0, y(3) = 3. B) Give the largest…

A:

Q: Let S be the surface defined by the vector function R(u, v) = (v + 4, 4u - v, uv²). Set up an…

A:

Q: Max 3A + 2B IA+IB ≤ 10 3A +1B ≤ 24 1A + 2B ≤ 16 A, B 0

A:

Q: ative cases 70,000 -5 60,000 50,000 40,000 30,000 20,000 10,000 Chart 23: Model of Cumulative Cases…

A: Given all these three graphs,  Social distancing one day later(red color) graph becomes constant…

Q: = Wm Does anything familiar happen when V₁ (d) Vn = W₁ (Hint: when V; = W₁ = F what is L(V₁, W₁)…

A: Please find the answer in next step

Q: please

A: We solve by eigenvalues and eigenvectors method.

Q: Use two arbitrary 2-dimensional vectors to verify: If vectors u and v are orthogonal, then ||u||² +…

A: Use the following definitions, to obtain the solution. If a and b are orthogonal vectors, then…

Q: Let (P) be the surface given by the following equation z=5-x²-y² and (Q) be the surface given by the…

A:

Q: If a projectile is fired straight upward from the ground with an initial speed of 32 feet per…

A: Here h(t)=-16t2+32t ......(1)

Q: Example 1: Find the root(s) of the function f(x)=x²-2.5x+1.5625 to s=1x10-6. Solution: Check the…

A: Given: f(x)=x2-2.5x+1.5625 To find: Root of the given function using Newton-Raphson method.

Q: (a) Derive the equation of the parabola x² = 4py.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: [2 3 7 10 Let A = 2 4 -27 -4 . If we let x be a positive integer, and we calculate A* = -6 a d b C e…

A: solution is given below:

Q: 13. Use long division to find the quotient and remainder: 14. Use long division to find the quotient…

A: Quotient and remainder using long division

Q: Let's define the function f: R+R by f(x) = 4x - 1 2x + 5 .(R+ is the positive reals.) Prove that f…

A:

Q: Present a second order differential equation. Identify the corresponding auxiliary equation.…

A:

Q: (a) After representing the population in a given week as a column vector v = [n; p; h], where n, p,…

A: Given information:-  Among those who are negative, 95% remain so, 4% become positive, and 1% need to…

Q: Roboto : Prove: 6. Alternate Exterior Angles Theorem Given: pllq 21 22 14px Two-Column Proof n H lo…

A:

Q: Question described by the vector function r(t) = (4t² ln t, ¹-4, -2e-³t). 2 a) b) Find parametric…

A:

Q: PROBLEM 1: Given the function f(x) = e²x+1: (1) Determine the Taylor series expansion (5th…

A:

Q: Solve it using all three methods (a) Undetermined Coefficient (b) Variation of parameter (c)…

A:

Q: Problem 1: (a) Compute 13-¹ (mod 23) by enumerating multiples. Show your work. (b) Compute 13-1 (mod…

A:

Q: Iwant to define these Poin (Defined) 1-) sobolve spaces 2-) Reflexive real Banach SPace

A:

Q: Consider 12 1 2 13 -1-3 4 Convert A to an upper triangular matrix U by using Gaussian elimination…

A: The given problem is to convert the given matrix A into upper triangular matrix U then find the…

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A:

Q: (b) Find the volume of the solid obtained by rotating the region bounded by the curve y=x²+x-2, y =…

A:

Q: An integral equation is an equation that contains an unknown function y(x) and an integral that…

A:

Q: Find the general solution of the following differential equation. y" + 9y' + 20y = 0 NOTE: Use c₁…

A:

Q: Use the method of undetermined coefficients to determine only the form of a particular solution for…

A: