Let \( f_{n}(x)=(\sin x)^{1 / n}+(\cos x)^{1 / n}, x \in R \), then : (a) \( f_{2}(x)1 \) for al...

Channel:
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=Ahc3Rc92tuA



Duration: 6:04
2 views
0


Let \( f_{n}(x)=(\sin x)^{1 / n}+(\cos x)^{1 / n}, x \in R \), then :
(a) \( f_{2}(x)1 \) for all \( x \in\left(2 k \pi(4 k+1) \frac{\pi}{2}\right), k \in I \)
(b) \( f_{2}(x)=1 \) for \( x=2 k \pi, k \in I \)
(c) \( f_{2}(x)f_{3}(x) \) for all \( x \in\left(2 k \pi,(4 k+1) \frac{\pi}{2}\right), k \in I \)
(d) \( f_{3}(x) \geq f_{5}(x) \) for all \( x \in\left(2 k \pi,(4 k+1) \frac{\pi}{2}\right), k \in I \)
(Where \( I \) denotes set of integers)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2022-10-28Let \( f(x)=\frac{\cos ^{-1}(1-\{x\}) \sin ^{-1}(1-\{x\})}{\sqrt{2\{x\}}(1-\{x\})} \) where \( \...
2022-10-28In the above problem, \( f(x) \) is injective in the interval \( x \in(-\infty, a] \), and \( \l...
2022-10-28If \( x, y, z \in R \) satisfies the system of equations \( x+[y]+\{z\}=12.7,[x]+\{y\}+z=4.1 \) ...
2022-10-28If \( A=\{1,2,3,4\}, B=\{1,2,3,4,5,6\} \) and \( f: A \rightarrow B \) is an injective mapping s...
2022-10-28Let \( f(x)=\frac{x+5}{\sqrt{x^{2}+1}} \forall x \in R \), then the smallest integral value of \...
2022-10-28Let \( f(x)=\frac{2|x|-1}{x-3} \) Range of the values of ' \( k \) ' for which \( f(x)=k \) has ...
2022-10-28Let \( A=\{1,2,3,4\} \) and \( B=\{0,1,2,3,4,5\} \). If ' \( m \) ' is the number of strictly in...
2022-10-28Which of the following is(are) incorrect? (a) If \( f(x)=\sin x \) and \( g(x)=\ln x \) then ran...
2022-10-28Let \( f(x)=\sin ^{6}\left(\frac{x}{4}\right)+\cos ^{6}\left(\frac{x}{4}\right) \). If \( f^{n}(...
2022-10-28Let \( f(x)=2-|x-3|, 1 \leq x \leq 5 \) and for rest of the values \( f(x) \) can be obtained by...
2022-10-28Let \( f_{n}(x)=(\sin x)^{1 / n}+(\cos x)^{1 / n}, x \in R \), then : (a) \( f_{2}(x)1 \) for al...
2022-10-28Let \( f(x)=x^{2}+\lambda x+\mu \cos x, \lambda \) being an integer and \( \mu \) is a real numb...
2022-10-28A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lamb...
2022-10-28A coplanar beam of light emerging from a point source have the equation \( \lambda x-y+2(1+\lamb...
2022-10-28Consider all functions \( f:\{1,2,3,4\} \rightarrow\{1,2,3,4\} \) which are one-one, onto and sa...
2022-10-28If \( e^{x}+e^{f(x)}=e \), then for \( f(x) \) : (a) Domain is \( (-\infty, 1) \) (b) Range is \...
2022-10-28Range of \( f(x)=\log _{[x]}\left(9-x^{2}\right) \); where [.] denotes G.I.F. is : (a) \( \{1,2\...
2022-10-28Which of the following function is periodic with fundamental period \( \pi \) ? (a) \( f(x)=\cos...
2022-10-28Set of values of ' \( a \) ' for which the function \( f: R \rightarrow R \), given by \( f(x)=x...
2022-10-28The maximum integral value of \( x \) in the domain of \( f(x)=\log _{10}\left(\log _{1 / 3}\lef...
2022-10-28Which of the following is the graph of the curve \( \sqrt{|y|}=x \) is ?



Tags:
pw