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
Answer:
c
Step-by-step explanation:
Aight, let's hop to it:
So we got
and boom
8:14 is ratio to red to all apples
8:6 is the ratio to green apples
<span>"A scientist in 1947 determined that your average worker honey bee beats its wings at the rate of 208 to 277 beats per second. That adds up to 12,480 to 16,820 beats per minute." </span>
Step-by-step explanation:
From given data,
n = 1496
x = 478
Proportion estimate ( p ) = 
= 
= 0.3195 ≅ 0.31
Proportion estimate ( p ) = 0.31
∴ The proportion of new car buyers who prefer foreign cars -> 0.31
