Find the conjugacy classes in D4, and write down the class
equation for D4•
We know that D4 ={ e , f , f^2 , f^3 , g , fg , f^2g , f^3g
}
please explain step by step.
(i) Write down the wave equation and find the general solution
for longitudinal vibration of a beam using the method of separation
of variable separation.
(ii) Find three lowest natural frequencies of longitudinal
vibration of 1.5m beam with free-free boundary conditions at the
ends. The modules of elasticity is 200e^9 N/m and density 7500
kg/m3.
Write two classes Class A and Class B in class A you should
read from the keyboard a number and you should call a public method
of the class B that will print on the screen whether the number
that was read from the keyboard in class A is multiple of 7 and has
the last digit 5.
Classes and Objects
Write a program that will create two classes; Services and
Supplies. Class Services should have two private attributes
numberOfHours and ratePerHour of type float. Class Supplies should
also have two private attributes numberOfItems and pricePerItem of
type float. For each class, provide its getter and setter
functions, and a constructor that will take the two of its private
attributes. Create method calculateSales() for each class that will
calculate the cost accrued. For example, the cost accrued for...
a) Write down the state equation of an ideal gas. This equation
can be utilized to derive any one of the macroscopic thermodynamic
properties, p1, T1, or V1, of an ideal gas in state “1” when the
other two properties and the gas’ conditions at some initial state
“0” are known.
b) What is the ideal gas law? Express the law separately in
terms of the amount of substance, the gas’ molar mass, the gas’
molar volume, and the gas’...
9. For the differential equation: ?′′ + 2?′ + 5? = ?(?)
(a) Write down the auxiliary polynomial associated to this
differential equation and find the roots of the auxiliary
polynomial.
(b) Find a basis for the real solution set of the associated
homogeneous differential equation ?′′ + 2?′ + 5? = 0.
(c) For each ?(?) that follows, write down the trial particular
solution to ?′′ + 2?′ + 5? = ?(?), with undetermined coefficients.
Do NOT solve the...