Home
Class 12
MATHS
[" Let "f(i)(x)=sin(2p(i)x)" for "i=1,2,...

[" Let "f_(i)(x)=sin(2p_(i)x)" for "i=1,2,3&p_(i)in N." It is "],[" given that the fundamental periods of "],[f_(1)(x)+f_(2)(x)+f_(3)(x),f_(1)(x)+f_(2)(x)" and "],[f_(1)(x)+f_(3)(x)" are "pi,(pi)/(2)" and "(pi)/(3)" respectively,then the "],[" minimum value of "p_(1)+p_(2)+p_(3)" is "]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f_(i)(x)=sin(2p_(i)x) for i=1,2,3 & p_(i) in N . If is given that the fundamental periods of f_(1)(x)+f_(2)(x)+f_(3)(x), f_(1)(x)+f_(2)(x) and f_(1)(x)+f_(3)(x) are pi, (pi)/(3) respectively, then the minimum value of p_(1)+p_(2)+p_(3) is

If f_(1)(x)=2x,f_(2)(x)=3sin x-x cos x then for x in(0,(pi)/(2))

If f_(1)(x)=2x, f_(2)x(=3 sin x-x cos x, for x in (0, (pi)/(2))

If p(x)=f_(1)(x^(6))+xf_(2)(x^(6))+x^(2)f_(3)(x^(6)) and p(x) is divisible by x^(3)+1 then

f: R rarr R ; f(x)=x sin x+cos x+sin2x .If f(x)=f_(1)(x)+f_(2)(x) where f_(1),f_(2) are odd and even. function respectively with the same domain as f ,then (f_(1)-f_(2))((pi)/(2))= 1) (pi)/(2) 2) (-pi)/(2) 3) 0 4) pi

Let F:R to R be such that F for all x in R (2^(1+x)+2^(1-x)), F(x) and (3^(x)+3^(-x)) are in A.P., then the minimum value of F(x) is:

Let F:R to R be such that F for all x in R (2^(1+x)+2^(1-x)), F(x) and (3^(x)+3^(-x)) are in A.P., then the minimum value of F(x) is:

For x in R, x != 0, x != 1 , let f_(0)(x)= (1)/(1-x) and f_(n+1)(x)=f_(0)(f_(n)(x)), n = 0, 1, 2,.... Then the value of f_(100)(3)+f_(1)(2/3)+f_(2)(3/2) is equal to

If f(x)=(1-sin^(2)x)/(1+sin^(2)x)," then "3f'((pi)/(4))-f((pi)/(4))=

For x in R , x ne0, 1, let f_(0)(x)=(1)/(1-x) and f_(n+1)(x)=f_(0)(f_(n)(x)),n=0,1,2….. Then the value of f_(100)(3)+f_(1)((2)/(3))+f_(2)((3)/(2)) is equal to