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
If given the equation, you need to take the number beside the x and y and change their signs to get your point:
x - 8 (Take the -8 and make it +8)
y + 2 (Take the +2 and make it -2)
Your point is (8, -2)
Answer:
The percent error based on the average measurements is 0.8%.
Step-by-step explanation:
The standard equation for percent error is [(original - actual)/original} x 100. The original amount is 100 degrees celcius. Your average measurement can be found by adding the three temperatures together and dividing by the number of temperatures collected: 98.5 + 99.3 + 99.8 = 297.63/3 = 99.2. When we place our numbers into the equation and solve, we get: (100 - 99.2)/100 = 0.008 x 100 (to get our percentage) = 0.8%.
Arrowheads indicate that the line will continue traveling on a number line infinitely. In other words the line never ends.
Answer:
q ≥ 3
Step-by-step explanation:
add 1 to both sides and there you have your answer!
2 ≤ q-1
+1 +1
3 ≤ q
or
q ≥ 3