A particle moves along the x-axis with its position at time t given by s (t) = t – 5t, t> 0. Position s is in feet and t is in seconds. The %3D - O At t = 2 seconds, the particle is moving to the left on the x-axis. O The position of the particle at t = 1 sec is -2. The speed of the particle at t = 1 sec is 2 ft/sec. O The particle is at rest when t = V5 seconds.

Q: Q.3 Solve v = e»+vã dx

A: Use the variable separable method and Integrate to get the solution of given differential equation.

Q: Evaluate cos(2x) dx. Show how to do this by hand, and round the final answer to 3 decimal places.

A: ∫12cos2xdx

Q: Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of…

A: Radium decomposed proportional to amount dy/dt ∞ y dy/dt =ky dy/y = kdt  Integrate on both sides ∫…

Q: Arctan (у — 2х) — х — 2у |

A:

Q: Differentiate the function. 7x - 1 y = 3 5x° + 7 y' = D %3D

A:

Q: Differentiate the function. (2x- 1)

A: Given:y=12x-15

Q: y = = esin 2x + sin(e²x)

A:

Q: A tank initially contains 300 gallons of water with 50lbs of salt disolved in the water. A brine…

A:

Q: findd y = (cos(x))*®s)

A: we have to find dy/dx

Q: Eveluet- I= dx dy Cali CamScanner 4 i uaall

A:

Q: Differentiate the function. y= (7x -x+4) (-x³ +5) - x + 4) ( – xº +5) y' = %3D

A:

Q: rt%3Dr/6 t cos(2t) dt t=D0

A:

Q: Exact ODE y'=-4/x; y(2)=3

A:

Q: The amount of daylight in a town can be modelled by the sinusoidal function d(t)= 4.37 cos 0.017t +…

A: Solution of given question is written in below steps.

Q: dy %3D xp

A:

Q: y = tanh- (x) + sech -1 /1+x2 %3D

A:

Q: Find the value of -4t e cos(4t) dt.

A:

Q: uppose the oscillatory motion of an object can be modeled using the equation s(t) = 4sin(2.6t)…

A:

Q: Steps S 10sin(2x)cos(2x)V cos (2x) – 5 dx

A: