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

Help me. I will mark you as brainliest !! Sporting Goods Superstore is owned by multiple shareholders. These people do not run the business on a day-to-day basi
-5/4 divided by 6/9=? whats the answer?
18r-4r=28 solve for r
Pls help and show workings.... due ASAP SHOW WORKINGS PLEASE!
PLEASE HELP!!!!! ONLY 150 words! Imagine that a large earthquake hits North America. The earthquake’s epicenter is exactly on the border between the United Stat
elect the correct answer. What is the definition of setting in a novel? A. the characters that the author writes about early in the story B. the characters and
X Andre and Elena are reading the same book over the summer. Andre says he has read of the book. 5 Elena says she has read 20 more pages than Andre. If Elena is
Can somebody help me pls
True or False: SR is bisected
How does your brain know which direction a sound comes from ?