Show all details. Use tables of Laplace transform and/or partial fraction expansion method to solve these problems. (Tables will take less time). Q1. Experiments were performed to understand motion of ship tied in a river. Apparatus consists of a long tank where flowing water and wave generator creates forces on the tied ship. The differential equation of motion of ship is given by: M d’x/d’t + C dx/dt + Kx = f + f2*exp(-2t) t> 0 (a) Find x(t) when M = 5.6, C = 4, K = 5, step function f = 4.6, f2 = 3, x(t=0)=1 and dx/dt (t=0)= 1 (b) Find the order of X(s) and the number of poles. Find all poles of X(s). Determine the stability of system. (c) Find damped and un-damped frequency of oscillation, steady state value of x(t) (which equals Xss) using final value theorem and form expression of x(t).

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.

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step-by-step explanation: