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:
x = 14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Subtract 8x from both sides.
Step 3: Subtract 18 from both sides.
Step 4: Divide both sides by -2.
The radius is 5cm
Step-by-step explanation:
The surface area of a sphere is given by:
Here
Given
SA = 100π cm^2
Putting the values in the formula
Taking square root on both sides
The radius is 5cm
Keywords: Surface area, Radius
Learn more about surface area of sphere at:
#LearnwithBrainly
Answer:
1.9
Step-by-step explanation:
Gabrielle uses 7.6 pints of blue and white paint to paint her bedroom
1/4 of the paint is blue paint
Therefore the amount of white paint she used to paint her bedroom can he calculated as follows
= 1/4
= 0.25×100
= 25%
25/100×7.6
= 2.5 × 7.6
= 1.9
Hence 1.9 pints of white paint was used to paint the room
