jennydoesthings6238 jennydoesthings6238
  • 19-06-2019
  • Mathematics
contestada

find the area between y=e^x and y=e^2x over [0,1]

Respuesta :

jcherry99
jcherry99 jcherry99
  • 20-06-2019

Answer:

Step-by-step explanation:

Just so you see what you are trying to do, the graph shows you what you are given.

Graph

Red: y = e^x

blue: y = e^(2x)

green x = 1

equations

integral e^(2*x) = e^(2x)/2

integral e^x = e^x

Solution

e^(2x)/2 between 1 and 0 equals e^(*2*1)/2 - e^0

e^(2x) / 2 = 7.3891 - 1 = 6.3891

e^(x )  between 1 and 0 equals e^(1) - e^0

2.7183 - 1

1.7183

The area between 1 and 0 is 6.3891 - 1.7183 = 4.6708

Ver imagen jcherry99
Answer Link

Otras preguntas

12. Find one solution for each equation. Assume all angles are acute angles a. cos(0 + 4°) = sin(30 +2°)
0.646464... • rational • irrational
Which conclusions did Riederer (2004) draw from the microfossils that he found in the fabric of archaeological ceramic vessels
Help ! It's A Math Problem I don't know What to do I am confused
Pls help first get brainest Ethan invested $2,400 in an account paying an interest rate of 5 1/4% compounded monthly. Stella invested $2,400 in an account payin
s and came in first. Aaron finished the race in 58 s and came in second. Which of 9 Blair and Aaron competed in a 400-m running race. Blair finished the race in
ring-ring. *pick up phone* Hello, Einstein? I be needing some help. Thank you.
I need help I can not do this. It hard
How many people are attending the super bowl today?.
find the cardinal number for the given set A = {6, 8, 10,…. 30}