Home
Class 12
MATHS
Let I be the purchase value of an equipm...

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 `(d V(t)/(dt)=-k(T-t)` , where `k"">""0` is a constant and T is the total life in years of the equipment. Then the scrap value V(T) of the equipment is : (1) `I-(k T^2)/2` (2) `I-(k(T-t)^2)/2` (3) `e^(-k T)` (4) `T^2-1/k`

A

`I-(kT^(2))/(2)`

B

`I-(k(T-t^(2)))/(2)`

C

`e^(-kT)`

D

`T^(2)-(1)/(k)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let bar(v)(t) be the velocity of a particle at time t. Then :

In the given figure if T_(1)=2T_(2) = 50 N then find the value of T.

Find the value of each of the following polynomials at the indicated value of variables : p(t) = 4t^(4) + 5t^(3) - t^(2) + 6 at t = a.

The position of a particle is given by vec r= 3.0 t hat i - 2.0 t^2 hat j + 4.0 hat k m , wher (t) in seconds and the coefficients have the proper units for vec r to be in metres. Find the vec v and vec a of the particle ?

Given, P prop T on increasing the value of T by 1^(@)C , the value of P increases by 0.4% , then find initial value of T :-

Given s=t^(2)+5t+3 , find (ds)/(dt)

Given s=t^(2)+5t+3 , find (ds)/(dt)

If velocity v varies with time t as v=2t^(2) , then the plot between v and t^(2) will be given as :

Force applied on a body is given by F=(3t^(2)-2t+10) N where t is in seconds. Find impulse imparted in t=0 to t=2 sec.