The velocity of a particle on the x-axis is given by the differential equation dx d=³√t, The particle is at x = 5, when t = 1. The position of the particle as a function of time is x(t) = -1/2 x(t) = 3 t- + 5 x(t) ==¹t+5 x(t) = -5 √t |x(t) = = t³/² + 1/11 t3/2 x(t) = et + 5

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: + ¹² = 4t, where y'(1) = 1 and y(1)=2. 4) Solve y" +

A:

Q: Find the slopes given by the differential equation y'= y-2 at each of the following points: a. (0,0)…

A:

Q: dx + 2– + x = u(1) x(0) = x'(0) = 1 dt

A:

Q: Find the normalizing constant c so that ce-x/4 dx = 1. C =

A:

Q: Find the second differential of the function y=x2cos2x.

A:

Q: ou are given the following differential equation:  (1/x4)(dy/dx) + (1/x2)y = x5, x > 0.  What…

A: Given differential equation A differential equation of the form is a linear differential equation…

Q: The population of a virus in a host can be modeled by the function W that satisfies the differential…

A: Note:-Since you asked multiple questions which are not interlinked, according to our policy we can…

Q: y=x1.5+1/x2.5 find the derivative. I am getting a solution but I'm unsure of how it is x3.5 at the…

A: y=x1.5+1/x2.5

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: Find y'. 9) y = (5x-2)(3x + 1)

A:

Q: A lighted candle burns outr according to the equation y'(t)=ky(t)_where y is the length (in inches)…

A:

Q: The acceleration of an object moving along a vertical path is given by a(t) = 12- 7 cost meters per…

A: