c) Evaluate 

Discuss the preparation of the following compounds starting from ethyl 3-
oxobutanoate?
i) 2-Butenoic acid (crotonic acid)
ii) 4-ketopentanoic acid

Give the schematic diagram of the order of molecular orbital energies and give the possible electronic transitions in them.

Trace the curve  by the stating all the properties used to trace it.

Is the function f , defined by 

 f(4)=0 continuous at x = 4? Give reasons for your answer.

c) Find the perimeter of the cardioid 

Explain the electronic spectra of the acetylenic and benzenoid chromophore.