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.
( x³ + 3 x² + 16 x + 48 ) : ( x + 3 ) = x² + 16
- x³ - 3 x²
-----------------------------
16 x + 48
- 16 x - 48
---------------------
r = 0
Answer: x² + 16
Answer:
179
Step-by-step explanation: First you would wanna add 70, to get to 100.
Then, add 9 to get to 314. add 70+9, that is your final answer.
TTQA: Suzanne needs to add 79 more cups of flour, to get to the anount called for in the recipe.
Answer:
20
20, 30, 40, 50
I think this might be the answer