Home
Class 12
MATHS
Given f^2(x)+g^2(x)+h^2(x)lt=9 and U(x)=...

Given `f^2(x)+g^2(x)+h^2(x)lt=9 and U(x)=3f(x)+4g(x)+10h(x),` where `f(x),g(x) and h(x)` are continuous `AA x in R.` If maximum value of `U(x)` is `sqrtN,` then find `N.`

Promotional Banner

Similar Questions

Explore conceptually related problems

Given f^(2)(x)+g^(2)(x)+h^(2)(x)<=9 and U(x)=3f(x)+4g(x)+10h(x) where f(x),g(x) and h(x) are continuous AA x in R. If maximum value of U(x) is sqrt(N), then find N.

Given f^2(x)+g^2(x)+h^2(x) le 9 and U(x)=3 f(x)+4 g(x)+10 h(x) , where f(x), g(x) and h(x) are continuous forall x in R . If maximum value of U(x) is sqrtN , then find N .

Given f(x)=(1)/(1-x),g(x)=f{f(x)} and h(x)=f{f{f(x)}} then the value of f(x)g(x)h(x) is

Given f(x) = (1)/((1-x)) , g(x) = f{f(x)} and h(x) = f{f{f(x)}}, then the value of f(x) g(x) h(x) is

Let f(x+y)=f(x)+f(y) and f(x)=x^(2)g(x)AA x,y in R where g(x) is continuous then f'(x) is

Let f(x+y)=f(x)+f(y) and f(x)=x^2g(x)AA x,y in R where g(x) is continuous then f'(x) is

Suppose that h(x)=f(x)g(x) and F(x)=f(g(x)) where f(2)=3g(2)=5g'(2)=4f'(2)=-2 and f'(5)=11 then

If h(x)=[f(x)]^(2)+[g(x)]^(2) and f'(x)=g(x), f''(x)=-f(x) , h(5)=10 find h(10).