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jakeagilbert
31.01.2020 •
Mathematics
Acompany introduces a new product for which the number of units sold s is
s(t)= 200 ( 5- 9/(2+t))
where t is the time in months
(a) find the avg. value of s(t) during the first year.
(b) during what month does s'(t) equal the avg value during the first year?
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Ответ:
(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
I'll leave that to you
Ответ:
11 units
Step-by-step explanation:
Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).
To find : length of Side RT of the polygon.
Using distance formula to find distance between (a,b) and (c,d):
Length of RT =![\sqrt{(2-2)^2+(5-(-6))^2}](/tpl/images/0715/1028/6b09f.png)
hence, the length of RT = 11 units.