The position function of a particle is given by s(t) = 3t2 – t3, t> 0.

Q: y(t) is incorrect

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Q: 6x + 2y nd the solution to the linear system of differential equations {", satisfying the initial…

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Q: 1+vx [8] Find y" of y =

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Q: The position of a particle is described by the function f (t) = t – ť² + 6t + 1. Consider the…

A: The position of a particle is described by the function  ft=t33-52t2+6t+1                (i) At t=0,…

Q: For time 0 ≤ ≤ 10, a particle moves along the x-axis with position given by x(t) = t³-77² +8t+5 What…

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Q: Show that (A − B )T = AT − B T .

A: Given  (A − B )T = AT − B T

Q: Find an expression for dy/dx. y= (u+5)(u-5) u= x2  + 7

A: Given expression are  y=u+5u-5=u2-52                                Using a+ba-b=a2-b2=u2-25…

Q: t².edt J (P)

A: Solve the following

Q: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

A: We will find out the required values.

Q: dy as a function of x. Write the function in the form y = f(u) and u= g(x). Then find y = (- 2x +8)…

A: We know that ,  if y = f ( u ) and u = g ( x )  Then  dy / dx = f ' ( u ) • g ' ( x )

Q: For the equation, xt+1=rxt(1-xt) for t=0,1,2,... Find the two fixed points. For which values are…

A: To find: The two fixed points, which values are the locally stable. Given: The equation is…

Q: The position of an object at time t is r(t) = (7 + t)i + e'j. Eliminate the parameter 1 to find y as…

A: Given the position of an object at time t is r ( t ) = ( 7 + t ) i + et j . We eliminate the…

Q: Differentiate g(t) = -8/t .

A: Known fact: ddxx=12xddxkfx=kddxfx

Q: Describe the shift of the function f(x) = Vx – 1 – 4 from the parent function f(x)=vx .

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Q: An object moves with accelerat a(t) = 5 + 2t- 6t2. %3D Its initial velocity is v(0) = 2 m %3D s(t)…

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Q: dx Find F(x) = S 1-2x+ 2x2

A: Here we solve the integration problem.

Q: Find y as a function of t if y(0) = 5, y(0) = 3. y(t) = 36y" - 84y +58y = 0₂

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Q: Sketch c(t) = (t3 − 4t, t2)

A: This is in parametric form. So we will convert it in normal form.

Q: Iu the values of the parameters of f(t) = A+ B sin(C(t – D)). (o. 1) (1-3)

A: We have to find the value of A , B , C and D

Q: y′ = t2 + y2

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Q: Determine the NATURAL cubic spline S(x) that interpolates the data f(1) = 1, ƒ(2) = 1, and f(3) = 0.

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Q: (t4)d4y/dt4 +(7t3)d3y/dt3 +(3t2)d2y/dt2 - (6t)dy/dt +6y = 0 takes the form of y =tr for constants…

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