Atank holds 300 gallons of water and 100 pounds of salt. a saline solution with concentration 1 lb salt/gal is added at a rate of 4 gal/min. simultaneously, the tank is emptying at a rate of 1 gal/min. find the specific solution q(t) for the quantity of salt in the tank at a given time t.

The amount of salt in the tank changes with rate according to

which is a linear ODE in . Multiplying both sides by gives

so that the left side condenses into the derivative of a product,

Integrate both sides and solve for to get

Given that , we find

and we get the particular solution

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

10

step-by-step explanation: