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
The answer is A -5m^5-2m^4-6m^2
Since that angle is 45 degrees, the white triangle is an isosceles triangle. Therefore, the hight of the big triangle is equal to 12. The are of the shaded triangle is 4x12/2 = 24
Answer:
{6,7,8,9,10}
Step-by-step explanation:
Solve the inequality using inverse operations.
This solution means values equal to or larger than 6 from the set are solutions. This means 6, 7, 8, 9, and 10 are the solution set.
Answer:
First one is wrong. x should be 16.
Second one is not completely visible, so cannot say.
Step-by-step explanation:
In the last step, the divison by 4 yields:
x/16 = 1, so x = 16