The term `-T Delta S_(total) ` at constant temperature and pressure is known as 1) Gibb's function 2)Bohr's function 3)Pauli's function 4)Nernst function

Function f(x)={x-1,x =2 is a continuous function

Q.The function f(x)=ln[x^(3)+sqrt(x^(6)+1)] is an (a) even function (b) odd function (c) increasing function (d) decreasing function

Statement -1 : Integral of an even function is not always on odd function. Statement-2: Integral of an odd function is an even function.

The function 'g' defined by g(x)= sin(sin^(-1)sqrt({x}))+cos(sin^(-1)sqrt({x}))-1 (where {x} denotes the functional part function) is (1) an even function (2) a periodic function (3) an odd function (4) neither even nor odd

At t=0 , switch S is closed. Find time constant of the circuit and current through inductor as a function of time t .

If X={1,2,3,4,5} and Y={a,b,c,d,e,f} and f:X rarr Y , find the total number of {:((i)" functions ",(ii)" one to one functions "),((iii)" many-one functions ",(iv)" constant functions "),((v)" onto functions ",(vi)" into functions "):}