Home
Class 14
MATHS
[" 84.Let "g(x)=int(0)^(x)f(t)" dt "" ,w...

[" 84.Let "g(x)=int_(0)^(x)f(t)" dt "" ,where "f" is such that "(1)/(2)<=f(t)<=1" for "t in[0,1]&0<=f(t)<=(1)/(2)" for "t in[1,2]." Then "g(2)" satisfies: "],[[" (a) "-(3)/(2)<=g(2)<(1)/(2)," (b) "0<=g(2)<2," (c) "(1)/(2)<=g(2)<=(3)/(2)," (d) "2<9]],[" 85.If "lm_(m,n)=int^(1)x^(m),(1-x)^(n)" dy then "ln" the "," (c) "(1)/(2)<=g(2)<=(3)/(2)]

Promotional Banner

Similar Questions

Explore conceptually related problems

Let g(x)=int_(0)^(x)f(t).dt, where f is such that (1)/(2)<=f(t)<=1 for t in[0,1] and 0<=f(t)<=(1)/(2) for t in[1,2] .Then g(2) satisfies the inequality

Let g(x)=int_(0)^(x)f(t)dt , where f is such that 1/2lef(t)le1 , for tepsilon[0,1] and 0lef(t)le1/2 , for tepsilon[1,2] . Then prove that 1/2leg(2)le3/2 .

Let g(x)=int_(0)^(x)f(t)dt , where f is such that 1/2lef(t)le1 , for tepsilon[0,1] and 0lef(t)le1/2 , for tepsilon[1,2] . Then prove that 1/2leg(2)le3/2 .

Let g(x)=int_0^x f(t).dt ,where f is such that 1/2<=f(t)<=1 for t in [0,1] and 0<=f(t)<=1/2 for t in [1,2] .Then g(2) satisfies the inequality

Let g(x)=int_0^x f(t).dt ,where f is such that 1/2<=f(t)<=1 for t in [0,1] and 0<=f(t)<=1/2 for t in [1,2] .Then g(2) satisfies the inequality

Let g(x)=int_0^x f(t).dt ,where f is such that 1/2<=f(t)<=1 for t in [0,1] and 0<=f(t)<=1/2 for t in [1,2] .Then g(2) satisfies the inequality

Let g(x)=int_0^x f(t).dt ,where f is such that 1/2<=f(t)<=1 for t in [0,1] and 0<=f(t)<=1/2 for t in [1,2] .Then g(2) satisfies the inequality

Let g(x) =int_0^x f(t) dt where f is such that 1//2lef(t)le1 for tin[0, 1] and 0 lef(t) le1//2 for tin[1, 2] Then the interval in which g(2) lies.