Offers are parallel because they would never intersect
Let
, so that
. Then the ODE becomes linear in
with
Find an integrating factor:
Multiply both sides of the ODE by
:
The left side can be consolidated as a derivative:
Integrate both sides with respect to
to get
where the right side can be computed with a simple substitution. Then
Back-substitute to solve for
.
D=10, d=13 and d=6 are correct
When the x-coordinates (or y-coordinates) match find the difference between the other values.
The least common denominator of 3/4, 4/5, and 2/3 can be found by finding the least common multiple of 4, 5, and 3.
List the multiples:
4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68
5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66
The least common denominator of 3/4, 4/5, and 2/3 is C. 60.