If `A""=""s in^2x""+""cos^4x` , then for all real x : (1) `3/4lt=Alt=1` (2) `(13)/(16)lt=Alt=1` (3) `1lt=Alt=2` (4) `3/4lt=Alt=(13)/(16)`

If A=sin^(2)x+cos^(4)x, then for all real x: (1) (3)/(4)<=A<=1(2)(13)/(16)<=A<=1(3)1<=A<=2(4)(3)/(4)<=A<=(13)/(16)

|4-3x|<=(1)/(2)

Given A=sin^(2)theta+cos^(4)theta, then for all real theta(a)1<=A<=2(b)(3)/(4)<=A<=1(c)(13)/(16)<=A<=1(d)(3)/(4)<=A<=(13)/(16)

3(1 - x ) lt 2 (x + 4)

(x-1) / (x ^ (2) -4x + 3) <1

Find all the real values of x for which (x-1)/(4x+5)lt(x-3)/(4x-3)

Let f:[0,1]rarrR (the set of all real numbers) be a function. Suppose the function f is twice differentiable, f(0)=f(1)=0 and satisfies f\'\'(x)-2f\'(x)+f(x) ge e^x, x in [0,1] If the function e^(-x)f(x) assumes its minimum in the interval [0,1] at x=1/4 , which of the following is true? (A) f\'(x) lt f(x), 1/4 lt x lt 3/4 (B) f\'(x) gt f(x), 0 ltxlt1/4 (C) f\'(x) lt f(x), 0 lt x lt 1/4 (D) f\'(x) lt f(x), 3/4 lt x lt 1