A system mass-spring is under a unic force F(t) =sen(t), wich work for 0 equal or smaller than t, equal o smaller than 2pi seconds, and after that is supreeseed. The function F(t) written in threms of the Heaviside is providen for: photo4.0

Q: Plot c(t) = (sin 2t, 2 cos t) for 0 ≤ t ≤ π. Express the length of the curve as a definite integral,…

A: Given, c(t) = (sin2t, 2cost) for 0 ≤ t ≤ π

Q: A lightweight cantilevered beam is supported at N points spaced 10 ft apart, and a weight of 500 lb…

A:

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

A:

Q: Suppose that r(t) =. Then the speed is

A:

Q: Use approbriate ferm of chain rule to fird %3D

A: Given  z=cos(x)sin(y)x=u−vy=u2+v2

Q: The function W'(t) = 16t² – 144t + 328 L measures the RATE at which water is flowing through a pipe…

A:

Q: a) The specific volume v of a gas can be expressed as a function of its pressure p and temperature T…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations and to…

Q: The power P (in W) in an electric circuit is the product of the voltage V and the current I (in A).…

A:

Q: f lx.y) = x³ - byt +ll Investigate the local + 3xy" - 6x² extremum paints ofthe function determine…

A:

Q: Consider the following acceleration a = a=32, v(0) = 15, s(0) = 6 d²s initial velocity, and initial…

A:

Q: A particle moves on an axis “x" with variable speed v(t) starting from t= 0. Calculate for each…

A: According to question, Particle moves on x-axis direction, We have, Variable speed, v t = 10 + 4…

Q: A spring with a 5-kg mass and a damping constant 15 can be held stretched 2 meters beyond its…

A: The objective is to find the position of the mass, after t seconds.

Q: Q3) For the following function: 1 U= zlog(x² + y²) 1. Determine whether it is harmonic (satisfy…

A:

Q: Thus, for u = g(x) = sin(5x), %3! f'(g(x)) = F'(sin(5x)) = 8 %3D %3D 8 Next we calculate g'(x). g(x)…

A:

Q: a. If T(vi) = v, for each i, show that T = ly.

A: