Answer:

Step-by-step explanation:
The given equation 5y'' + 3y' - 2y =0 can be written as

Solving for complementary function we have Roots of
as follows


Thus the complementary function becomes
y=
where
are calculated roots
thus solution becomes

Now to solve for the coefficients we use the given boundary conditions

hence the solution becomes

Answer:
2000
Step-by-step explanation:
6.5% of 29, 788 is
0.065(29,788) = 1936.22
However, he is guaranteed a salary of $2000. Since 2000 is larger than 1936.22, he receives $2000.
3 1/3= 10/3
2 1/3= 7/3
7/3 + 10/3= 17/3
17/3 (2)+ 34/3
34/3= 11 1/3
final answer = 11 1/3
The formula for the area of a sector in radians is

, where theta is the angle in radians. For us, the formula looks like this:

. Doing all the multiplication on that gives us

. Multiplying in pi and rounding to the nearest tenth gives us an area of 76.3 meters squared. You can use the formula for the area of a sector with the angle in degrees as well. Just replace the 360 degrees with 2pi and it works the exact same way.
Answer:
1/5
Step-by-step explanation:
Divide both numerator and denominator by 6:
1/5