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:
P = 9; A = 3
Step-by-step explanation:
a)
1. ATC is similar to GDO
2. 12 / 3 = 4
3. Triangle A has to be divided by 4 to figure out what Triangle B is
4. GD = 3, GO = 4, DO = 2
5. P = 3 + 4 + 2 + 9
b)
1. B = 2, H = 3
2. Plug into given equation (A = 1/2bh)
3. A = 1/2*2*3
4. 1/2 * 6
5. A = 3
Answer:
-13.333
Step-by-step explanation:
This is the answer to:
-8(-2 1/3)-(2(4) to the power of 2
Hope this helps!
Answer:
A
Step-by-step explanation:
There are 1000 mm in one meter
and there are 10 mm in one cm
so
1000 + 20(10) = 1200mm
Therefore the answer is 1200mm
When a set of objects are chosen from a larger set in which the order of the object doesn't matter, we call this combination. Otherwise if the order of selection would matter this would be called a permutation.
Probability is the likelihood of selecting a particular specified object in from a specified group of objects.
Therefore our answer is B.
