The equation of ellipse is x²/a² + y²/b² = 1, it can be written as
y =sqrt (b² - <span> (b²/a²) x²), so it is a function </span>
Just divide "1849 parts" by "4 hours:" the average rate is 1849/4 parts/hour,
or 1849 parts/ 4 hours, or 462.25 parts/hour, or (rounded off) 462 parts/hour.
C≈37.7in
Hope this helped
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we are given


(A)
(f×g)(x)=f(x)*g(x)
now, we can plug it

we can simplify it


(B)
Domain:
Firstly, we will find domain of f(x) , g(x) and (fxg)(x)
and then we can find common domain
Domain of f(x):

we know that f(x) is undefined at x=0
so, domain will be
∪
Domain of g(x):

Since, it is polynomial
so, it is defined for all real values of x
now, we can find common domain
so, domain will be
∪
..............Answer
Range:
Firstly, we will find range of f(x) , g(x) and (fxg)(x)
and then we can find common range
Range of f(x):

we know that range is all possible values of y for which x is defined
since, horizontal asymptote will be at y=0
so, range is
∪
Range of g(x):

Since, it is quadratic equation
so, its range will be

now, we can find common range
so, range will be
∪
.............Answer
to get the slope of any line, we can simply use two points off of it, for this one, say (3,12) and (4,16)
