Answer:
Step-by-step explanation:
Given y = coskt
y' = -ksinkt
y'' = -k²coskt
Substitute this y'' into the expression 25y'' = −16y
25(-k²coskt) = -16(coskt)
25k²coskt = 16(coskt)
25k² = 16
k² = 16/25
k = ±√16/25
k = ±4/5
b) from the DE 25y'' = −16y
Rearrange
25y''+16y = 0
Expressing using auxiliary equation
25m² + 16 = 0
25m² = -16
m² = -16/25
m = ±4/5 I
m = 0+4/5 I
Since the auxiliary root is complex number
The solution to the DE will be expressed as;
y = Asinmt + Bsinmt
Since k = m
y = Asinkt+Bsinkt where A and B are constants
9 7/8 written as a decimal is 9.88
Work: So, The first thing I did was 9 (Whole Number) times the Denominator. After the Multiplication, I had gotten 72. I added 72 by the numerator which is 79. Then, I divided 79 by the denominator, and I had gotten 9.875, and I rounded it up to 9.88
I hope this helps, and you get this question correct. :)
48/14 so you just simplify that for gallons/minutes. something that goes into both of those numbers is 2 so you would have 24/7 when you divide by 2. that’s your answer.
24/7
Im pretty sure the Correct answer is D
I Could be Wrong Tho.
