Answer:
Step-by-step explanation:
1 ) Given that

For a non homogeneous part
, we assume the particular solution is

2 ) Given that

For a non homogeneous part
, we assume the particular solution is

3 ) Given that
y′′ + 4y′ + 20y = −3sin(2x)
For a non homogeneous part −3sin(2x) , we assume the particular solution is

4 ) Given that
y′′ − 2y′ − 15y = 3xcos(2x)
For a non homogeneous part 3xcos(2x) , we assume the particular solution is

Answer:
A) 10x + 8 = 21
B) x = 1.3
Step-by-step explanation:
2(2x + 3) + 2(x + 1) + 4x = 21
4x + 6 + 2x + 2 + 4x = 21
10x + 8 = 21
10x = 13
x = 1.3 cm
See the attached figure
===========================
<span>After
3 days, the total number of belts sold will be the same as the total
number of wallets sold. The number of belts and the number of wallets
Mr. Matthew sold after this many days is
27.
</span>
======================================================
Explanation of the answer:
<span>The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph
</span>
<span>The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph
</span>
The point of intersection represents <span>the total number of belts sold will be the same as the total number of wallets sold.</span>