I think the right answer to your question may be F I don’t know for sure
Are you finding the function?
Step 1:
a=$27,000. (Given)
Annual percent of decrease (r): 15%. (Given)
Step 2:
(Assuming m is the multiplier)
M=1-r
1-15/100
M=.85%
Step 3:
The function representing this
F(t): 27,000•(.85)^t
Answer:
y = sin(t) is a solution to the differential equation
(dy/dt)² = 1 - y²
Step-by-step explanation:
Given (dy/dt)² = 1 - y²
Suppose y = sin(t) is a solution, then it satisfies the differential equation.
That is
[d(sin(t))]² = 1 - y²
Let y = sin(t)
dy/dt = d(sin(t)) = cos(t)
(dy/dt)² = cos²t
But cos²t + sin²t = 1
=> 1 - sin²t = cos²t
So
(dy/dt)² = 1 - sin²t
Since sin²t = (sint)² = y²,
we have
(dy/dt)² = 1 - y²
as required.