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
The water temperature at the beach was 75° every day for the past<span>2 weeks. The water temperature at the beach will be 75° today. All even numbers are divisible by 2. Sixty-four is an even number. Sixty-four is divisible by 2.
others are deductive reasoning
</span>The library charges a $0.20 fine each day a book is overdue. Mary is returning a book that is 5 days overdue. Therefore, Mary will pay a $1.00 fine. All observed brown dogs are small dogs. Therefore, all small dogs are brown.
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8^2=8x8=16 then you add 4 and subtract 12 which will get you 56. correct me if i’m wrong.
Trapezoid ABCD was the original figure for trapezoid A'B'C'D. They are similar because they are the same shape, Trapezoid A'B'C'D is slightly bigger or smaller because it was dilated from trapezoid ABCD.
We break apart the first numer:
10+8
the second:
20+1
and add like this:
18+21=10+8 + 20+1
now, we can mix up the order:
18+21=10+8 + 20+1= 10+20 + 8+1
add the parts:
18+21=10+8 + 20+1= 10+20 + 8+1=30+9=39
