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

Q: line with a constant acceleration of -8 ms 2. A De in the direction that the particle is initially…

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Q: The velocity of a particle in space at time t is given by(t) = t² i + 2t + 2 k Find the distance…

A: Solution

Q: Solve f(x, y) = x² + y-20x+40=0 g(x, y) = x + y²-20y+20=0 by using the Newton Raphson method given…

A: The multivariate Newton-Raphson method uses the formula: xn+1yn+1=xnyn-∂f1∂x∂f1∂y∂f2∂x∂f2∂y-1×fxnyn…

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: (3) The distance of a particle from a point O at time t seconds is given by s = 2t³ - 27t² + 108t -…

A: Given : s=2t3-27t2+108t-84   ,   t≥0 To find : (a) velocity (b) Acceleration (c) Time when velocity…

Q: (t) = (3t2, a set at any time t. Suppose also that this same particle has initial position F(1) =…

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Q: y? lim (х.у)-(1,0) х2 + у? — 2х + 1

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Q: 4) Suppose that a baseball is tossed straight upward and its height (in feet) as a function of a…

A: (a) Instantaneous velocity and acceleration The height y  of the baseball as a function of time t…

Q: c) Suppose a car drives at a speed of (5+ 3t ) m/s where t is time in seconds. How far did the car…

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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.