The maximum value of `x^4e^ (-x^2)` is (A) `e^2` (B) `e^(-2)` (C) `12 e^(-2)` (D) `4e^(-2)`

The minimum value of 4e ^(2x) + 9e^(-2x) is

The maximum value of (log x)/(x) is (a) 1 (b) (2)/(e)(c) e (d) (1)/(e)

The minimum value of e^((2x^(2)-2x+1)sin^(2)x) is e(b)(1)/(e)(c)1(d)0

The value of the integral int_-a^a (x e^(x^2))/(1+x^2)dx is (A) e^(a^2) (B) 0 (C) e^(-a^2) (D) a

(4e^(x)-25)/(2e^(x)-5)

If A,B and C are angles of a triangle ABC then the value of |[4e^(2iA), e^(-iC), e^(-iB)] , [e^(-iC), 4e^(2iB), e^(-iA)] , [e^(-iB), e^(-iA), 4e^(2iC)]| is

The value of lim_(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

The minimum value of f(x)=int_(0)^(4)e^(|x-t|)dt where x in[0,3] is :(A)2e^(2)-1(B)e^(4)-1(C)2(e^(2)-1)(D)e^(2)-1

If f(x)= e^(coscos^-1x^2+tancot^-1 x^2), then minimum value of f(x) is (A) e (B) e^2 (C) e^(2/3 (D) none of these

The value of ((e^x + e^(-x))/(2))^(2) - ((e^x - e^(-x))/(2))^(2) is :