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.
Answer:
The average speed was about 6,000 kilometers (or 3,200-3,700 miles)
Step-by-step explanation:
hope this helps!
Commission = 20% x 85 = $17
Salary = $82 + $17 = $99 <=== this much she made.
0.735 expressed as a fraction is 3/8
Answer:
Step-by-step explanation: