Let `phi:[0,1]->[0,1]` be a continuous and one-one function. Let `phi(0)=0,phi(1)=1,phi(1/2)=p and phi(1/4)=q` then

If phi(x)=int(phi(x))^(-2)dx and phi(1)=0 then phi(x) is

If phi(x)=phi'(x) and phi(1)=2, then phi(3) equals

If phi (x)=phi '(x) and phi(1)=2 , then phi(3) equals

If phi(x) is polynomial function and phi(x)gtphi(x)AAxge1andphi(1)=0 ,then

Let f(x)=|x-a| phi(x), where is phi continuous function and phi(a)!=0. Then

A continuously differentiable function phi(x)in (0,pi//2) satisfying y'=1+y^(2),y(0)=0 , is

A continuously differentiable function phi(x)in (0,pi//2) satisfying y'=1+y^(2),y(0)=0 , is

If phi(x) is a differentiable function AAx in Rand a inR^(+) such that phi(0)=phi(2a),phi(a)=phi(3a)and phi(0)nephi(a), then show that there is at least one root of equation phi'(x+a)=phi'(x)"in"(0,2a).

Prove that sin^(2)phi(1+cot^(2)phi)=1