Answer:
C
Step-by-step explanation:
C
Answer:
y'(t) = k(700,000-y(t)) k>0 is the constant of proportionality
y(0) =0
Step-by-step explanation:
(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.
If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means
<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.
Since no one has heard the news at first, we have
<em>y(0) = 0 (initial condition)
</em>
We can then state the initial value problem as
y'(t) = k(700,000-y(t))
y(0) =0
Answer:
The square root of 144 will be 12
3. The leading coefficient of the function f(x)= 3x⁵+6x⁴-x-3 is 3.
For the function f(x)= 3x⁵+6x⁴-x-3 , the highest power of x is 5, so the degree is 5. The leading term is the term containing that degree, 3x⁵. The leading coefficient is the coefficient of that term, 3.
Explanation:
The expression f(0) represents the value of the function at x=0 which means the y-intercept of the function.
the y-intercept of the graph is the point that crosses the y-axis.
From the given graph,
The y-intercept of the graph does not define.
Answer: f(0) = not defined
