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:
105 boys
Step-by-step explanation:
At a local preschool there is a ratio of 3 boys to 4 girls.
i.e boys:girls = 3:4
There are 245 preschoolers enrolled.
Number of boys =
× 245 = 105 boys
Answer: to the tenth place: 0.3
To the hundredth place: 0.33
Thousandths: 0.334
Whole number: 0
Step-by-step explanation:
I believe the answer would be 1620
The formula for the area of a triangle is (base•height)/2
So 60(54) = 3240/2 = 1620
Please correct me if I am wrong have a good day!
9x^2 + 4x^3
Hope this helped