Let `h(x)=x^(m/n)` for `x in R ,` where +m and n are odd numbers and `0

Let f(x)=x^((m)/(n)) for x in R where m and n are integers,m even and n odd and '0

Let the area of the region {(x,y):x-2y+4ge 0 , x+2y^(2) ge 0,x+4y^(2)le8,y ge 0} be (m)/(n) ,where m and n , are coprime numbers. Then m+n is equal to

Let f(x)=|2x^(2)+5|x|-3|,x in R .If "m" and "n" denote the number of points where "f" is not continuous and not differentiable respectively,then "m+n" is equal to:

x^(m)xx x^(n)=x^(m+n) , where x is a non zero rational number and m,n are positive integers.

Consider (1 + x + x^(2))^(n) = sum_(r=0)^(n) a_(r) x^(r) , where a_(0), a_(1), a_(2),…, a_(2n) are real number and n is positive integer. If n is odd , the value of sum_(r-1)^(2) a_(2r -1) is

lim_(x rarr0)((a^(x)+b^(x)+c^(x))/(3))^(2/x),(a>0,b>0,c>0) is (abc)^(m/n) then ((m+n))/(10) is : (where [ m,n in N and m&n are co-prime)

if sin^(3)x-sin3x=sum_(m=0rarr n)c_(m)*cos mx is an identity in x, where c_(m)^(=0rarr n) are constant then the value of n is

Consider the function f defined by f(x)=(0,x=0 or x is irrational (1)/(n), where x is a non zero rational number (m)/(n),n>0 and (m)/(n) is in lowest term which of the following statements is true?