NathanaelLopez
27.06.2020 •
Mathematics
Explain why the slope of the tangent line can be interpreted as an instantaneous rate of change.
The average rate of change over the interval [a, x] is
StartFraction f left parenthesis x right parenthesis minus f left parenthesis a right parenthesis Over x minus a EndFraction ..
StartFraction f left parenthesis x right parenthesis minus f left parenthesis a right parenthesis Over x minus a EndFraction .f(x)−f(a)x−a.
StartFraction f left parenthesis x right parenthesis minus f left parenthesis a right parenthesis Over x plus a EndFraction .f(x)−f(a)x+a.
StartFraction f left parenthesis a right parenthesis minus f left parenthesis x right parenthesis Over x minus a EndFraction .f(a)−f(x)x−a.
StartFraction f left parenthesis x right parenthesis plus f left parenthesis a right parenthesis Over x minus a EndFraction .f(x)+f(a)x−a.
The limit
ModifyingBelow lim With x right arrow minus a StartFraction f left parenthesis x right parenthesis minus f left parenthesis a right parenthesis Over x minus a EndFraction
is the slope of the
line; it is also the limit of average rates ofchange, which is the instantaneous rate of change at
x=
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Ответ:
Explanation:
It looks like you're trying to make the coherent statement ...
The average rate of change over the interval [a, x] is ...
The limit ...
is the slope of the line. It is also the limit of the average rate of change, which is the instantaneous rate of change at x=a.
Ответ:
What is .455555555555555 as a fraction?
To write .455555555555555 as a fraction you have to write .455555555555555 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
.455555555555555 = .455555555555555/1 = 4.5555555555556/10 = 45.555555555556/100 = 455.55555555555/1000 = 4555.5555555555/10000 = 45555.555555555/100000 = 455555.55555555/1000000 = 4555555.5555555/10000000 = 45555555.555555/100000000 = 455555555.55555/1000000000 = 4555555555.5555/10000000000 = 45555555555.555/100000000000 = 455555555555.55/1000000000000 = 4555555555555.5/10000000000000 = 45555555555555/100000000000000
And finally we have:
.455555555555555 as a fraction equals 45555555555555/100000000000000
Step-by-step explanation: