Hi there! The answer is A.
Graph A. is not linear because it contains x^2 and therefore is a quadratic function.
The total weight of the two pieces together is 6 pounds.
<h3>How much would the two pieces weigh together?</h3>
A piece of raw silk that is 100 yards long by 1.25 yards wide weights 38lb.
Then, a piece that is 12.5 yards long (and still 1.25 yards wide) will weight:
M = (12.5/100)*38lb = 4.75 lb
And a piece of habotai silk that is 100 yards long by 1.25 yards wide weights 12lb.
Then, a piece that is 12.5 yards long will weigh:
M' = (12.5/100)*12lb = 1.5 lb
If we add these two, we get a total weight of:
M + M' = 4.5lb + 1.5lb = 6lb
The total weight of the two pieces together is 6 pounds.
If you want to learn more about weight:
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Take the homogeneous part and find the roots to the characteristic equation:

This means the characteristic solution is

.
Since the characteristic solution already contains both functions on the RHS of the ODE, you could try finding a solution via the method of undetermined coefficients of the form

. Finding the second derivative involves quite a few applications of the product rule, so I'll resort to a different method via variation of parameters.
With

and

, you're looking for a particular solution of the form

. The functions

satisfy


where

is the Wronskian determinant of the two characteristic solutions.

So you have




So you end up with a solution

but since

is already accounted for in the characteristic solution, the particular solution is then

so that the general solution is
Step-by-step explanation:
Formula:- 4/3*Pi*r^3
= 4/3*22/7*(1/2)^3
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