Recall that the area under a curve and above the x axis can be computed by the definite integral. If we have two curves
<span> y = f(x) and y = g(x)</span>
such that
<span> f(x) > g(x)
</span>
then the area between them bounded by the horizontal lines x = a and x = b is
To remember this formula we write
If you were selling an items for $35.50 as the original price, but you give 30% off the item price then the result of it's cost would be:
Sale / Discounted Price: $26.95
Then if you're wondering, you'll be saving this amount of money:
Amount Saved (Discount): $11.55
Hope this helps!
The graph first represents the provided piecewise function option first is correct.
<h3>What is a piecewise function?</h3>
The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.
We have a piecewise function shown in the picture.



After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.
Thus, the graph first represents the provided piecewise function option first is correct.
Learn more about the piecewise function here:
brainly.com/question/12561612
#SPJ1
I suppose the integral could be

In that case, since
as
, we know
. We also have
, so the integral is approach +1 from below. This tells us that, by comparison,

and the latter integral is convergent, so this integral must converge.
To find its value, let
, so that
. Then the integral is equal to
![\displaystyle\int_{-1/7}^0e^u\,\mathrm du=e^0-e^{-1/7}=1-\frac1{\sqrt[7]{e}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_%7B-1%2F7%7D%5E0e%5Eu%5C%2C%5Cmathrm%20du%3De%5E0-e%5E%7B-1%2F7%7D%3D1-%5Cfrac1%7B%5Csqrt%5B7%5D%7Be%7D%7D)
Answer:
64000
Step-by-step explanation:
The absolute value is the non-negative number
|64000| = 64000