Q6) A string of infinite length is stretched from -00 to +o0 and subjected to the following initial velocity: (1 -1sx<0 v(x) ={-1 0srsl 0 otherwise Find the initial displacement required to be applied in order the resulting motion will be: (a) Wave traveling to the right only (b) Wave traveling to the left only

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A: From the given data, State of nature Course of action    S1 (Use Y and Z) S2 (Use X)…

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Q: = x2 - 4x + 1 with domain [0, 3] f has ---Select--- v at (x, y) = f has ---Select--- v at (x, y) = f…

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Q: 4) Find linear ditterental equation with costnt y-ac'+cadk Lomageneas coetfients whose general…

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Q: Q6) A string of infinite length is stretched from -0o to +00 and subjected to the following initial…

A:

Q: Q1: Use Newton - Raphson method to estimate the 3 Yoot of fcx) = X- X - 1 , employing an initial %3D…

A: To find the root of fx=x3-x-1 by using Newton Raphson method with initial guess of x0=1.

Q: (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of…

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Q: Expand x'y + 3y - 4 about the point (1, -2) by Taylor' s theorem.

A: Let, the given function be fx,y=x2y+3y-4 and the given point is 1,-2

Q: 11. An ideal elastic string of length L is fixed at its right end, but its left end is attached to a…

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Q: A train, which is 200 m long, approaches a tunnel, which is 120 m long. The train is moving at a…

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Q: 2 (a) A miniature quadcopter flies in a curve line from one point to another. Suppose that the path…

A:

Q: Q6) A string of infinite length is stretched from -0 to +0 and subjected to the following initial…

A: (a) Given that,  V(x)=1-1≤x&lt;0-10≤x≤10otherwise The wave traveling to the right only is, W=∫0∞v(x)…

Q: How many days would a 67-unit construction activity lasts if this activity have a parameter of…

A: The activity has a parameter of 0.9 man hours per unit.To Find: In how many days the activity will…

Q: a. Work of 4 Joules is done in stretching a spring from its natural length length. What is the…

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Q: 1. A lifeguard is at point A on a straight shore AB, where point B is 100 ft from point A. He wishes…

A: This question is related to distance and speed we will solve it using given information.

Q: Use Newton's method (2.12.4) to find the minimum value of the lunction f(x) = x + x,x, + (1 + x,)'…

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Q: A stretched string of length 20 cm is set oscillating by displacing it midpoint from the rest…

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Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial…

A: Please see the explanation below

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Q: A cylindrical homogenous, isotropic rod with insulated sides has the temperature f(x) L/2 ={L-X…

A: Given that, A cylindrical homogenous, isotropic rod with the insulated sides has the temperature,…

Q: 5) What is the maximum value of y = 5 Cos 4x ?

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Q: Two bicyclists begin a race at 8:00 a.m. They both finish the race 2 hours and 15 minutes later.…

A: Let f(x) and g(x) be the function of positions of these two bicyclists. Using the mean value…

Q: Let C be the shortest path that connects t to ni and I = S. (coshz + 1)dz. Then I=0 1--sinh π+…

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Q: 3. A body of mass 5 kg is dropped from a height of 100ft with zero velocity. Assuming no air…

A: Given: A body of mass 5 kg is dropped from a height of 100 ft with zero velocity. To Find: To find…

Q: Q6) A string of infinite length is stretched from -o to +0 and subjected to the following initia…

A: Solve

Q: 2. An explosion is recorded by two microphones that are 2 miles apart. Microphone M, received the…

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Q: Suppose that an initially full hemispherical water tank of radius 1 m has its flat side as its…

A: Given:

Q: 4. A projectile is launched with an initial speed of 40 m/s from the floor of a tunnel whose height…

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Q: Find the largest t-interval where the solution to the IVP (t − 5)y'' - cos(t)y' + y = 2/t,  y(1) =…

A: Consider the provided question,

Q: Solve MXVN at (1,1-1) When M = (2yz)i – (x²y)j + (xz²)k and N = 2x²yz³ Show the graph after it.

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Q: Ехample 3.11 If a mass-spring system with an iron ball of weight W=98 net tonnage can be regarded…

A: Given: If a mass spring system with an iron ball of weight  w = 98 net tonnage.

Q: Q6) A string of infinite length is stretched from -0 to +0 and subjected to the following initial…

A: Given vx=1-1≤x&lt;0-10≤x≤10otherwise

Q: Give two examples of the situation with the solution clearly and in order Soperties of Bessel's…

A:

Q: O DE Linitial condelim) dy -48-7x y)= 1 +2

A: we have to find the diifferential equation dydx=4x2-7x3y2+2    with initial condition y(1)=1

Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

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Q: 4. A cannonball of mass 1kg is shot vertically upward from the top of a building with an unknown…

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Q: 4 to Use the Trapezoidal Rule with n = 1 approximate J-1 V1-x³

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Q: Solve the nonhomogeneous ODE by variation of parameters. ODE: y" + 4y = cosh 2x

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Q: Let C be the shortest path that connects 7 to ni and I = f. (coshz + 1)dz. Then --sinh π+ π(1- )…

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Q: Solve the initial value problem Ut + 2uz = 1, x € R, t e R u(0, x) = e¯*, x € R. %3D

A: The differential equation is given as ut+2ux=1 The Lagrange equation is given as dt1 = dx2 = du1 On…

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Q: 1. Find the cubic function y = ax³ + bx² + cx + d where its graph has horizontal tangent line at…

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Q: At time 0, M is deposited into Fund X, which accumulates at a force of interest δ# = 0.006t*. At…

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Q: 7. Use the Fourth Order Runge-Kutta method to solve y'-y = 0, y(0) = 1 on the interval 0, - v with h…

A: The formula for the fourth order Runge-Kutta method is dydx=f(x,y) with the initial condition x0, y0…

Q: 2. Solve Un Uxx X> 0,t> 0 with initial and boundary conditions given as u(x,0) = 1- exp(-x), u(x,0)…

A: The D'Alembert's solution of one dimensional wave equation whose charactertics lines are ξ0=x-ct and…

Q: 4- Suppose u satisfies the potential equation on the rectangle and it is constant (equal to c) on…

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Q: Q6) A string of infinite length is stretched from -00 to +0 and subjected to the following initial…

A: Given vx=1-1≤x&lt;0-10≤x≤10otherwise

Q: Once again, a particle travels at velocity t – 1 at time t. Divide the interval 0, 2 into 2k…

A: A particle travels at the velocity t-1 at time t.  We now divide the interval 0, 2 into 2k intervals…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.