1. Distribute on both sides
22 - 2c - 4 = 3c + 12 + c
2. Simplify
18 - 2c = 4c + 12
3. Add like terms
18 = 6c + 12
6 = 6c
4. Solve for c by dividing
1 = c
Answer:
Set the height of the bar to 5
Step-by-step explanation:
Since there are 5 quantities between 20-29, So set the height up to 5
Answer:
Laplace transforms turn a Differential equation into an algebraic, so we can solve easier.
y'= pY-y(0)
y"=p²Y - py(0)- y'(0)
Substituting these in differential equation :
p²Y -py (0) -y' (0)-6(pY-y(0)) + 13Y
Substituting in the initial conditions given , fact out Y, and get:
Y( p²-6p+13) = -3
Y=-3/ p²-6p+13
now looking this up in a table to Laplace transformation we get:
y=-3/2.e³т sin(2t)
for the last one, find the Laplace of t∧2 . which is 2/p³
pY - y(0)+ 5Y= 2/p³
Y= 2/p³(p+5)
Taking partial fractions:
Y=-2/125(p+5) + 2/125p - 2/25p² + 2/5p³
Learn more about differential equation here:
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Correct Answers:
- The mean of a density curve is indicated by u
- The standard deviation of a density curve is indicated by o
