Let X be a random variable with density function:
f(x) = x if x ∈ (0, 1]
2 − x if x ∈ (1, 2]
0 the rest
Determine the distribution and density functions of the random variables:
a) Y = X + 1;
b) Y = −1/2X;
c) Y = X^2;

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

During a steady flow process, the change of energy with respect to time is zero. a)- true b)- false

The drive force for diffusion is 7 fick's first law can be used to solve the non-steady state diffusion. a)-true b)-false