Find the values of ' \( a \) ' and ' \( b \) ' such that ' \( f \) ' is defined by: \[ f(x)=\lef...

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=yf-p2Kx1fXE


Duration: 4:39
1 views
0

Find the values of ' \( a \) ' and ' \( b \) ' such that ' \( f \) ' is defined by:
\[
f(x)=\left\{\begin{array}{r}
\frac{x-4}{|x-4|}+a, \text { if } x4 \\
a+b, \text { if } x=4 \\
\frac{x-4}{|x-4|}+b, \text { if } x4
\end{array}\right.
\]
is a continuous function at \( x=a \).
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-26Differentiable the following w.r.t. \( x \) : \[ \frac{3}{\sqrt[3]{x}}-\frac{5}{\cos x}+\log _{3...
2022-10-26Differentiable the following w.r.t. \( x \) : \[ \log \left(\frac{1}{\sqrt{x}}\right)+5 x^{a}-3 ...
2022-10-26If \( y=f\left(\frac{2 x-1}{x^{2}+1}\right) \) and \( f^{\prime}(x)=\sin x^{2} \), then find \( ...
2022-10-26Show that \( |x-5| \) is continuous but not differentiable at \( x=5 \).
2022-10-26Biomagnification refers to: (a) Rapid growth due to excessive intake of nutrients (b) Increase i...
2022-10-26Solve each of the following systems of equations by using the method of cross multiplication: ...
2022-10-26The base of a right prism is a right angled triangle. The measure of the base of the right angled...
2022-10-26Examine the differentiability of the function: \[ f(x)=\left\{\begin{array}{r} x[x], \text { if ...
2022-10-26Prove that \( \left(\cot ^{-1} x+\cot ^{-1} \frac{1}{x}\right) \) is a constant.
2022-10-26Write the following statement in five different ways, conveying the same meaning. \( p \) : If a...
2022-10-26Find the values of ' \( a \) ' and ' \( b \) ' such that ' \( f \) ' is defined by: \[ f(x)=\lef...
2022-10-26The mean and variance of 8 observations are 9 and \( 9.25 \) respectively. If six observations a...
2022-10-26The coordinates of the point which is equidistant from the three vertices of the AOB as shown in ...
2022-10-261+ ^2α/1+cosecα=cosecα
2022-10-26Differentiate the following w.r.t. \( \mathrm{x} \) : \[ (1+x)^{\log x} \]
2022-10-26State the converse and contrapositive of each of the following statements : \( p: \) A positive ...
2022-10-26Write 'True' or 'False' and justify your answer in each of the following:
2022-10-26Check the validity of the statements given below by the method given against it. \( q \) : If \(...
2022-10-26Given below are two statements \( p: 25 \) is a multiple of 5. \( q: 25 \) is a multiple of 8. W...
2022-10-26Define Coefficient of Variation.
2022-10-26Check the validity of the statements given below by the method given against it. \( p \) : The s...


Tags:
pw