Questions Asked in Previous 10 Years' Exams
Let \( I \) be the purchase value of an equipment an... VIDEO
Questions Asked in Previous 10 Years' Exams
Let \( I \) be the purchase value of an equipment and \( V(t) \) be the value after it has been used for \( t \) years. The value \( V(t) \) depreciates at a rate given by differential equation \( \frac{d V(t)}{d t}=-k(T-t) \), where \( k0 \) is a constant and \( T \) is the total life in years of the equipment. Then, the scrap value \( V(T) \) of the equipment is
[2010 NEEE]
(a) \( I-\frac{k T^{2}}{2} \)
(b) \( I-\frac{k(T-t)^{2}}{2} \)
(c) \( e^{-k T} \)
(d) \( T^{2}-\frac{1}{k} \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions 2022-10-28 If \( f: R \rightarrow R, f(x)=\frac{x^{2}+a x+1}{x^{2}+x+1} \), then the complete set of values... 2022-10-28 If \( f:(-\infty, 2] \longrightarrow(-\infty, 4] \), where \( f(x)=x(4-x) \), then \( f^{-1}(x) ... 2022-10-28 Range of the function \( f(x)=\log _{2}\left(2-\log _{\sqrt{2}}\left(16 \sin ^{2} x+1\right)\rig... 2022-10-28 \( \lim _{n \rightarrow \infty} \frac{1}{n^{3}}\left(\sqrt{n^{2}+1}+2 \sqrt{n^{2}+2^{2}}+\ldots ... 2022-10-28 Questions Asked in Previous 10 Years' Exams
Let \( y^{\prime}(x)+y(x) g^{\prime}(x)=g(x) g^{\pri... 2022-10-28 The expression \( (\sec A \sec B+\tan A \tan B)^{2}-(\sec A \tan B+\tan A \sec B)^{2} \) is simp... 2022-10-28 For each positive integer \( n \), define a function \( f_{n} \) on \( [0,1] \) as follows :
\[
... 2022-10-28 Let \( g(x)=x^{C} e^{C x} \) and \( f(x)=\int_{0}^{x} t e^{2 t}\left(1+3 t^{2}\right)^{1 / 2} d ... 2022-10-28 Let \( I_{n}=\int_{1}^{e^{2}}(\ln x)^{n} d\left(x^{2}\right) \), then the value of \( 2 I_{n}+n ... 2022-10-28 Let \( f(x)=|| x^{2}-10 x+21|-p| \); then the exhaustive set of values of \( p \) for which \( f... 2022-10-28 Questions Asked in Previous 10 Years' Exams
Let \( I \) be the purchase value of an equipment an... 2022-10-28 Questions Asked in Previous 10 Years' Exams
The differential equation of the family of circles w... 2022-10-28 Questions Asked in Previous 10 Years' Exams Let \( f: R \rightarrow R \) be a continuous functio... 2022-10-28 Find the value of \( \lim _{x \rightarrow \infty}\left(x+\frac{1}{x}\right) e^{1 / x}-x \) 2022-10-28 Questions Asked in Previous 10 Years' Exams
Solution of the differential equation \( \cos x d y=... 2022-10-28 Questions Asked in Previous 10 Years' Exams
The differential equation which represents the famil... 2022-10-28 Questions Asked in Previous 10 Years' Exams
Area of the region bounded by the curve \( y=e^{x} \... 2022-10-28 Questions Asked in Previous 10 Years' Exams
The population \( p(t) \) at time \( t \) of a certa... 2022-10-28 Questions Asked in Previous 10 Years' Exams
\[
\begin{array}{l}
\text { If } \frac{d y}{d x}=y+3... 2022-10-28 Questions Asked in Previous 10 Years' Exams
At present, a firm is manufacturing 2000 items. It i... 2022-10-28 Questions Asked in Previous 10 Years' Exams
Let \( y(x) \) be the solution of the differential e...