Answer:
(a) -dA/dt = kA², A₀ = 10
(b) A =10/(1+ kt)
(c) t > 60 h
Step-by-step explanation:
(a) Find the IVP
A differential equation with an initial condition y₀ = f(x₀) is called an initial value problem.
The rate of decrease of A is proportional to A², and A₀ = 10, so the IVP is
-dA/dt = kA², A₀ = 10
(b) Solve the IVP
Apply the initial condition: A₀ = 10 (when t = 0)
(c) Find the time when A(t) < 1
(i) Find the value of k (A₁₀ = 4)
(ii) Find t when A < 1
The figure below shows the graph of A vs t.
Answer:
8
Step-by-step explanation:
that;'s what i put the first time
15 cups, I am pretty sure, i might be under thinking it
Answer:
Quadrants I and III
Step-by-step explanation:
Its just the opposite sides but negatives and postitives
Circumference = 2πr
So the circumference of the track is C = 2π .2 or .4π
3 times around the track is .4π x 3 or 1.2π - this is the answer but most teachers will want you to use 3.14 for pi.
so 1.2 x 3.14 = 3.768 km
Do you notice that I waited until the end to use the actual value of pi (3.14) in my calculations.
Keeping things in pi units until the very end saves time.
