(a) The "average value" of a function over an interval [a,b] is defined to be
(1/(b-a)) times the integral of f from the limits x= a to x = b.
Now S = 200(5 - 9/(2+t))
The average value of S during the first year (from t = 0 months to t = 12 months) is then:
(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12
or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12
This equals 200/12 * (5t -9ln(2+t))
Evaluating this with the limits t= 0 to t = 12 gives:
708.113 units., which is the average value of S(t) during the first year.
(b). We need to find S'(t), and then equate this with the average value.
Now S'(t) = 1800/(t+2)^2
So you're left with solving 1800/(t+2)^2 = 708.113
<span>I'll leave that to you</span>
Everyone needs help in math
Answer:
10 and 5
Step-by-step explanation:
Answer:12
Step-by-step explanation:
Given
Balthazar,Rudy,Jebediah and Ezekiel in a single-File line to pull sleigh
Jebediah and Ezekiel Stay together
i.e. we need to arrange three person considering Ezekiel and jebediah as Single person
therefore 3 person can be arrange in 3! ways =6
and also Ezekiel and Jebediah can be arranged in 2 ways
Therefore a total of 
ways are possible
Answer:
52 sodas
Step-by-step explanation
h=hotdogs
s= sodas
1.5h+.5s=78.5
You know that Emily sold 35 hotdogs so you replace h with 35.
Therefore, 1.5(35)+.5s=78.5
52.5+.5s=78.5
.5s=26
s=52
