Answer:
The Y-intercept is 0.
Step-by-step explanation:
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
___
The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
Well the factors of "72" is→ 1,2,3,4,6,8,9,12,18,24,36,72
To find the factor(s) "72" just write out the muliples that equals 72
Answer:
The last choice.
Step-by-step explanation:
The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.
