The formula for that represent the area covered by a marsh A(n) is .
An exponential decay is given by the function:
y = abˣ
Where a is the initial value of y, b is a constant which is less than 1, y, x are variables.
Since the area covered by a marsh, A, starts at 11500 acres, hence a = 11500. Since the area drops by 1/4 each year for n years, hence:
Therefore the formula for A(n) is
Find out more at: brainly.com/question/20898622
Answer:
f'(x) > 0 on and f'(x)<0 on
Step-by-step explanation:
1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:
To find its decreasing interval :
2) Then let's find the critical point of this function:
2.2 Solving for x this equation, this will lead us to one critical point since x' is not defined for Real set, and x''≈0.37 for e≈2.72
3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.
Given:
A directed line segment begins at F(-8, -2), ends at H(8, 6), and is divided in the ratio 8 to 2 by G.
To find:
The coordinates of point G.
Solution:
Section formula: If a point divide a line segment with end points and
in m:n, then the coordinates of that point are
Point G divide the line segment FH in 8:2. Using section formula, we get
Therefore, the coordinates of point G are (4.8, 4.4).