Answer:
The particular solution of the differential equation
=
+ 
Step-by-step explanation:
Given differential equation y''(x) − 10y'(x) + 61y(x) = −3796 cos(5x) + 185e6x
The differential operator form 
<u>Rules for finding particular integral in some special cases:-</u>
- let f(D)y =
then
the particular integral
≠ 0
- let f(D)y = cos (ax ) then
the particular integral
f(-a^2) ≠ 0
Given problem

P<u>articular integral</u>:-


P.I =
we will apply above two conditions, we get
=

on simplification we get
= 
= 
= 
=


Now particular solution
P.I = 
P.I =
+ 
10^2 - 8^2
= 100 - 64
= 36
LM = √36 = 6
answer
LM = 6
By “i get 172.37” is that adding to the 182 or how much you have left after buying those things.
Answer:
The distance between the parallel sides is 20cm.
Step-by-step explanation:
Area of a trapezoid:

where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.
3 of the 4 variables in this equation are already given:
A = 800
a = 48
b = 32
Just plug those in and solve for h:

3 times 3 times 3 times 3 equals 81 so it would be 81