Answer:
7/2
Step-by-step explanation:
Answer:
(a) The time to complete 1 cycle and return is 16/3
(b) The minimum height is 30 inches and the maximum is 54 inches
Step-by-step explanation:
Given
Solving (a): Time to complete 1 cycle and return
This implies that we calculate the period. This is calculated using:
Where:
So, we have:
Solving (b): The maximum and the minimum height
To do this, we have:
Which means:
So, the minimum is:
And the maximum is:
Recall that the height is:
So, the maximum and the minimum of are:
and
The answer should be Two and Three ...
It’s a
100-25= 75
75 divided by 0.01
0.75 x 18
Using the given table of transforms,
(where Y(s) is the Laplace transform of y(x))
Solve for Y(s) :
Decompose the right side into partial fractions:
Solve for the coefficients.
Then
Take the inverse transform and solve for y(x) :
Using the frequency-shifting property,
So, the particular solution to the ODE is