If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
A square and a parallelogram both have 2 sets of parallel lines. A square has equal lengths for all four sides while a parallelogram doesn't. A parallelogram is a more broad idea because a parallelogram involves trapezoids, rectangles, and squares too.But a square is more specific.
Answer:
answer a
Step-by-step explanation: cause it will equal up and it has to be negitive on answer so u divided it and youll get a
For the restaurant to make 20 gallons of a lemonade mixture that is 10% sugar, they need 12 gallons of the 12% lemonade and 8 gallons of the 7% lemonade. The correct answer is A.
