If \( f(x)=\left[\begin{array}{lr}\ln (1+|x|+(b-2)|x+1|)+a \tan ^{-...
If \( f(x)=\left[\begin{array}{lr}\ln (1+|x|+(b-2)|x+1|)+a \tan ^{-1} x+2, & -2x0 \\ b, & x=0 \\ \frac{(c+2) \sin ^{-1} \sqrt{\{x\}}+e^{2 x}-e^{\ln \left(4\left\{\frac{x}{2}\right\}\right)}-1}{x^{2}}, & 0x2\end{array} \quad\right. \) is derivable in
\( \mathrm{P} \)
W
\( (-2,2) \) then find the value of \( \left(9 a^{2}+b^{2}+c^{2}\right) \).
[Note: \( \{y\} \) denotes fractional part of \( y \).]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-03-21 | If the value of \( \lim _{x \rightarrow 0} \frac{\left(1+3 x+2 x^{2... |
| 2023-03-21 | Let \( f(x)=\lim _{n \rightarrow \infty} \frac{n \text { times }}{3... |
| 2023-03-21 | If a point \( P(x, y) \) lies on the curve \( y=f(x) \) such that
\... |
| 2023-03-21 | Let \( f: R^{+} \rightarrow \mathrm{A} \) (where \( A \) is co-doma... |
| 2023-03-21 | Let \( f(n)=\lim _{x \rightarrow 0} \frac{x-n \tan \left(\frac{\tan... |
| 2023-03-21 | If \( \lim _{n \rightarrow \infty}\left(\frac{\left(1+\frac{1}{n}\r... |
| 2023-03-21 | Let the equations \( x^{3}+2 x^{2}+p x+q=0 \) and \( x^{3}+x^{2}+p ... |
| 2023-03-21 | The sequence \( \left\{a_{n}\right\}_{n=1}^{+\infty} \) is defined ... |
| 2023-03-21 | The sequence \( \left\langle a_{n-1}\right\rangle, n \in N \) is an... |
| 2023-03-21 | Given a right triangle \( A B C \) which is right angled at \( A \)... |
| 2023-03-21 | If \( f(x)=\left[\begin{array}{lr}\ln (1+|x|+(b-2)|x+1|)+a \tan ^{-... |
| 2023-03-21 | Consider, \( f(x)=\left[\begin{array}{cc}2-|x|, & -1 \leq x \leq 1 ... |
| 2023-03-21 | Let \( f(x) \) be a function defined in \( [0,5] \) such that \( f^... |
| 2023-03-21 | Let \( f(x)=x^{2}+a x+3 \) and \( g(x)=x+b \), where \( F(x)=\lim _... |
| 2023-03-21 | Let \( P(x) \) be a polynomial of degree ' 6 ' with leading coeffic... |
| 2023-03-21 | Let \( f \) be a biquadratic function of \( x \) given by \( f(x)=A... |
| 2023-03-21 | Let \( f(x)=\left\{\begin{array}{cc}5 x+1, & x \leq 2 \\ \int_{0}^{... |
| 2023-03-21 | Let \( f(x)=\left\{\begin{array}{cc}\frac{\ln (1+2 x)}{x}, & \frac{... |
| 2023-03-21 | Let \( f, g, h \) be real-valued functions defined on \( R \). Cons... |
| 2023-03-21 | Consider \( P(x)=a x^{2}+b x+c \), where \( a, b, c \in R \) and \(... |
| 2023-03-21 | Let \( P(x) \) be a polynomial of degree ' 6 ' with leading coeffic... |
0