Answer:
Explanation:
Given:
The equation describing the forest wood biomass per hectare as a function of plantation age t is:
y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4
The equation that describes the annual growth in wood biomass is:
y ′ (t) = 0.01t + 0.072t^2 - 0.018t^3
To find:
a) The year the annual growth achieved its highest possible value
b) when does y ′ (t) achieve its highest value?
a)
To determine the year the highest possible value was achieved, we will set the derivative y'(t) to zero. The values of t will be substituted into the second derivative to get the highest value


SInce t = 4.13, gives y ′' (t) = -0.316 (< 0). This makes it the maximum value of t
The year the annual growth achieved its highest possible value to the nearest whole number will be
year 4
b) y ′ (t) will achieve its highest value, when we substitute the value of t that gives into the initial function.
Initial function: y(t) = 5 + 0.005t^2 + 0.024t^3 − 0.0045t^4
Answer:
R = 23.9
Step-by-step explanation:
formula for circles circumfrence is, C = 2*3.14*R
in this one we have to work backwards so we plug wut we have.
150 = 2* 3.14*R
we divide 150 by 2 so it will be
75 = 3.14R
now we divide 75 by pi so wwe get
23.8732414638 = R
Now we round it to nearest tenth
R = 23.9
1/6
explanation:
1 x 1 = 1
2 x 3 = 6
1/6
Hope it helps!
Idk the answer sry sry
If I knew I would tell u the
Answer
Answer:
I think it should be 1 < x ≤ 6
Step-by-step explanation: