<span>I am assuming that this is a parametric curve.
We see that the curve intersects the x-axis when:
t - t^2 = 0 ==> t = 0 and t = 1.
Then, since x = 1 + e^t is an increasing function, the curve is being traced exactly once on the interval (0, 1).
Using the fact that the area under the curve given by the parametric equations x = f(t) and y = g(t) on (a, b) is:
A = ∫ f'(t)g(t) dt (from t=a to b),
and that f(t) = 1 + e^t ==> f'(t) = e^t, the area under the curve is:
A = ∫ e^t(t - t^2) dt (from t=0 to 1)
= e^t(-t^2 + 3t - 3) (evaluated from t=0 to 1), by integrating by parts
= e(-1 + 3 - 3) - (0 + 0 - 3)
= 3 - e. </span>
Answer:
Here you go.Hope this help you!!
The expression is equal to 2a(2a_8) a2,_10
The domain of the function h(x) is x is greater than -1
<h3>How to determine the domain of the function h(x)?</h3>
The graphs of the functions are given as attachment
From the attachment, we have the following domains:
- Domain of f(x): x > 2
- Domain of g(x): x > -1
The equation of function h(x) is
h(x) = f(x) - g(x)
The domain of the function g(x) is greater than that of the function f(x)
This means that the function h(x) will assume that domain of the function g(x)
Hence, the domain of the function h(x) is x is greater than -1
Read more about domain at:
brainly.com/question/1770447
#SPJ1
<span>Levant traded 270 american dollars and received 3000 Mexican pesos. This means that:
1 Mexican peso = (270 x 1) / (3000) = 0.09$
Therefore,
100 pesos will be worth 100 x 0.09 = 9$
Based on this, he will receive 9$ when exchanging 100 pesos for dollars.</span>
