The Amazon rainforest is gradually being destroyed by pollution and agricultural and industrial development. For simplicity, suppose that each year, 10% of the remaining forest is destroyed. Assume, also for simplicity, that the present area of the Amazon rainforest is 1,200,000 square miles.
1.a) What will the area of the forest be after 1 year of this destruction process?
1.b) What will the area of the forest be after 2 years of this destruction process?
2) Make a graph showing your results from Question 1 and continuing through 5 years of the destruction process. Include the present situation as a point on your graph.
3) Find a rule for how much rain forest will remain after X years. That is, express the area of the rain forest as a function of X.
This DE has characteristic equation
with a repeated root at r = 3/2. Then the characteristic solution is
which has derivative
Use the given initial conditions to solve for the constants:
and so the particular solution to the IVP is
Answer:
17 and 10
Step-by-step explanation:
Write the problem as an equation.
a+b=27
a=b-7
Where a and b are the two numbers you are trying to find. You could use any variables. Then solve.
b+(b-7)=27 Sub (b-7) for a
2b-7=27 Group like terms
2b=34 Add 7 to both sides
b=17 Divide both sides by 2.
Because b=17, a must be 10.
Math is ok I’m not good at it but I think it is 3