Consider a weakly-damped, but undriven oscillator. the general equation of motion is where the damping force fdamp = -bv so β = -b/2m and ω0 is the natural frequency. (a) use this to sketch the state-space orbit, showing the movement of (x, x’) for 0< t< 10 with the parameters x(0) = π/4, x’(0) = 0, ω0 =2π, and β=0.5. (b) what type of attractor does this system have? what is it? explain it, both with reference to your sketch and in terms of energy conservation.

Laboratory experiments, observational field studies, and model-building are all examples of different forms of scientific investigations.  in what way do laboratory experiments primarily differ from other forms of scientific investigations?   a.  a laboratory experiment is the only accepted form of investigation within the scientific community.  b.  studies about how things behave in nature or studies involving very large objects are best answered through laboratory experiments.  c.  laboratory experiments involve the identification and control of variables.  d.  data can only be generated through laboratory experiments, not other forms of investigation.

Your town is considering building a biodiesel power plant describe at least two advantages and two disadvantages

The weights of bags filled by a machine are normally distributed with a standard deviation of 0.05 kilograms and a mean that can be set by the operator. at what level should the mean weight be set if it required that only 1% of the bags weigh less than 9.5 kilograms? round the answer to 2 decimal places.