Assume an object weighing 2 lb stretches a spring 6 in. Find the equation of motion if the spring is released from the equilibrium position with an upward velocity of 16 ft/sec. What is the period of the motion?.

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A: Introduction: The word "percentage" was derived from the Latin word "per centum," which means "by…

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Q: Q2): Dual problem below: Min Z = 120yı + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 +…

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Q: y² = 9 - x² and ミ1、22 9. 9.

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Q: QUESTION 18 parametric form. Find the general solution to the following linear system. Give your…

A: The solution is given as

Q: Question 9 Find the equation of the tangent to y = xvx at the point where x = 4 -8 -6 2-

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Q: 9. Solve the differential equation (2 sin?y + 4x² sin y)dx + (3x sin y cos y + 2x³ cos y) dy = 0…

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Q: Evaluate fR z = Jx2 + y2 x2 + y2 + z2dxdydz, where r is the region bounded by the plane z = 3 and…

A: We will convert integral into spherical co ordinate system . 1st relation between cartesian and…

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Q: Consider the two point BVP: -u" + 3u = 1, 0<x with u(0) = u(1) = %3D

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Q: Dual problem below: Min Z = 120y, + 6y2 + 105y3 Subject to : 3y1 + 5y2 + 8y3 2 3 10y, + 2y2 + 10y3 2…

A: The dual problem is Min Z=120y1+6y2+105y3 subject to 3y1+5y2+8y3≥310y1+2y2+10y3≥45y1+8y2+3y3≥1y1,…

Q: Question 10 Find the area enclosed between y = 3x and y = x3 -6-

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Q: 21 Given the matrices, A = (2 -3) and B = -3 2 find the product AB? AB = (-4 - 3) AB = (-7 1) AB =…

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Q: Expand f(2) = z-5)(=-15) in the domain 5 < |2 < 15 .

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Q: ニX +2ー100

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Q: Find the total solution to the following difference equations: 1 (a) y(n) + 승y(n-1)-y(n-2) = x(m) +…

A: Hi! As per norms, we will be answering only the first question. If you need an answer to others the…

Q: If y=sech (kx") and (

A: Given,       y=sech-1(kxN)   and (1-289x10)(y')2=Ax2

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A: We will have to evaluate: ∫01∫sin-1yπ/2sec2(cosx)dxdy.

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Q: Question 3: Find A-1, using "super-augmneted ma- trix" if [3 1 -1] A = 5 2 1 1 -1 then check your…

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Q: Find the solution. y' = 5y + e 2x y2, y(0) = 2 -2х 139е 15 — Зе - 3e -2x \1/3 A y = 17 15х 19е 15x _…

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Q: Find an ONB (orthonormal basis) for the following plane in R³ x - 5y + 4z = 0 First, solve the…

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Q: Solve the following heat equation: (u:(x,t) = Uxz(x, t) и(0, t) — 1 — е ! u(1, 0) — еt, и(т,0) — 0

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Q: fillowing wtegration o ん) )d Find the

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Q: i) Evaluate the surface integral where F = (x,y,zx) and S has upward orientation. S is the part of…

A: The solution is below.

Q: 2. Let F(z, y) = y +y+3r +1=0 (a) Find the set of z for which we can solve the equation for y in…

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Q: Find the solution. y' = 5y + e 2x y2, y(0) = 2 139e 15x – 3e -2x )1/3 A) y = 17 39e* - e-2x )1/3 B…

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Q: Question 3 E the universal set ={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Let A = {1, 4, 8, 10}, B = {2, 4,…

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Q: nomial series to expan

A: Given, the function               9(4+x)3

Q: Question 2 Find the solution. y" - 2y'- 2y = 0 @ y = c,ev3+c,e° V31 ® y = c,e2-v3)1+c,e(2+v3)1 © y =…

A: Since you have posted a multiple question according to guildlines I will solve first question…

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Q: Xi -3 -1 0. -2 1 f(xi) 7.1 -4.3 -3 -2.6 -0.6 Given that the above data was extracted from the…

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Q: 3. Find conditions on keR under which the intersection of the given set of planes: kx – y + z = –3…

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Q: Compute the following integrals: (a) ==3 z(z – 2)3

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Q: cosz Let f(z) = The residue off(z) at zo = –1 (z²–1)2' a) – sin 1 b) -cos1 c) sin1 d) None of the…

A: Consider fz=coszz2-12. To find the residue of f(z) at z0=-1.

Q: (iii) At x = 0, the Fourier Sine Series of 2x – 2, 0 (A) –2 (В) —1 (C) 0 (D) 1

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