State the necessary condition for differentiability of a function f(x,y) at a point (a,b).

848

Systematic random samp ling is to be used to select 5 addresses from an ordered list containing 500 addresses. A 1- in-100 systematic sample is used to select the 5 addresses. What is the chance that any specific address will be chosen.

541

P and Q are positive integers with their averagfe 15, find how many different values can one take

584

Explain about Mathematical language & symbolism.

608

Prove that the function defined in example 24 is differentiable at (0,0).

525

In a single throw of 3 dice, the chance of throwing a total of 15 is

588

if z is the arithemtic mean between x and y , then the value of x/(x-z)+y/(y-z) is

618

Find the rectangle of perimeter 12cm which has maximum area.

596

if logs sqrt(5x)=1,then x equals

577

The pipes can fill a cistern in 1.5 hours and 2 hours respectively. A wste pipe can empty a full cistern in 3 hours. If the cisternis empty and all three pipes are opened together, in how many min will the cistern be half full

641

Explain the paradigm shift in the nature of Mathematics from empirical to rational.

563

According to set theory, sets that do not contain themselves are typically referred to as?

550

Name any two contribution of Aryabhatta.

600

If c = a/b; a-1 = c, what is the relation between a and b?

542

Write short note on Mathematical language & symbolism.

555