Answer:
540m
Step-by-step explanation:
The distance of the track is is equal to the playground's distance.
-The total distance covered is obtained by summing 120 and the distance per break by the total number of breaks:
-The distance of the playground half the track's distance:
Hence, the distance of the playground is 540m
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:
For the temperature to be below 32 F, following inequality must be met,
Step-by-step explanation:
Let "t" be the temperature at any time.
General format of a linear equation can be given as,
y= mx + c
Where,
y ⇒ dependent variable ( in this case temperature t)
m⇒ Gradient ( the rate at which the temperature drops)
x⇒ independent variable ( hours )
c⇒ intercept ( this is the starting temperature)
Now we can substitute the given values to the above format to arrive at the equation,
We can re-arrange the equations as ,
=
We can write this as an inequality when t = 32 F
=
=