Questions Asked in Previous 10 Years' Exams - Directions Let \( f:[0,1] \rightarrow R \) (the se...

Channel:
PW Solutions
Subscribers:
443,000
Published on ● Video Link: https://www.youtube.com/watch?v=WtsFqvmb8sE


Duration: 3:33
2 views
0

Questions Asked in Previous 10 Years' Exams
- Directions Let \( f:[0,1] \rightarrow R \) (the set of all real numbers) be a function. Suppose the function \( f \) is twice differentiable, \( f(0)=f(1)=0 \) and satisfies
\[
f^{\prime \prime}(x)-2 f^{\prime}(x)+f(x) \geq e^{x}, x \in[0,1]
\]
[Passage Based Questions 2013]
If the function \( e^{-x} f(x) \) assumes its minimum in interval \( [0,1] \) at \( x=1 / 4 \), then which of the following is true?
\( \begin{array}{ll}\text { (c) } f^{\prime}(x)f(x), 0x\frac{1}{4} & \text { (d) } f^{\prime}(x)f(x), \frac{3}{4}x1\end{array} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2022-10-28Questions Asked in Previous 10 Years' Exams Solution of the differential equation \( \cos x d y=...
2022-10-28Questions Asked in Previous 10 Years' Exams The differential equation which represents the famil...
2022-10-28Questions Asked in Previous 10 Years' Exams Area of the region bounded by the curve \( y=e^{x} \...
2022-10-28Questions Asked in Previous 10 Years' Exams The population \( p(t) \) at time \( t \) of a certa...
2022-10-28Questions Asked in Previous 10 Years' Exams \[ \begin{array}{l} \text { If } \frac{d y}{d x}=y+3...
2022-10-28Questions Asked in Previous 10 Years' Exams At present, a firm is manufacturing 2000 items. It i...
2022-10-28Questions Asked in Previous 10 Years' Exams Let \( y(x) \) be the solution of the differential e...
2022-10-28Questions Asked in Previous 10 Years' Exams Let the population of rabbits surviving at a time \(...
2022-10-28Questions Asked in Previous 10 Years' Exams If a curve \( y=f(x) \) passes through the point \( ...
2022-10-28Questions Asked in Previous 10 Years' Exams Let \( y(x) \) be a solution of the differential equ...
2022-10-28Questions Asked in Previous 10 Years' Exams - Directions Let \( f:[0,1] \rightarrow R \) (the se...
2022-10-28Questions Asked in Previous 10 Years' Exams If \( y(x) \) satisfies the differential equation \(...
2022-10-28Questions Asked in Previous 10 Years' Exams The function \( y=f(x) \) is the solution of the dif...
2022-10-28Questions Asked in Previous 10 Years' Exams A curve passes through the point \( \left(1, \frac{\...
2022-10-28The solution of \( \frac{d y}{d x}=\left(\frac{x+2 y-3}{2 x+y+3}\right)^{2} \), is \( (\mathrm{a...
2022-10-28Questions Asked in Previous 10 Years' Exams Let \( f:[-1,2] \rightarrow[0, \infty) \) be a conti...
2022-10-28Single Integer Answer Type Questions Let \( y(x) \) be a function satisfying \( d^{2} y / d x^{2...
2022-10-28More than One Option Correct Type Questions The graph of the function \( y=f(x) \) passing throu...
2022-10-28Single Integer Answer Type Questions The value of \( c+2 \) for which the area of the figure bou...
2022-10-28Questions Asked in Previous 10 Years' Exams If the straight line \( x=b \) divide the area enclo...
2022-10-28Single Option Correct Type Questions \[ \int_{-4}^{4} \frac{\sin ^{-1}(\sin x)+\cos ^{-1}(\cos x...


Tags:
pw