1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anit [1.1K]
3 years ago
5

Find the average value of f(x)=e2x over the interval [2, 4].

Mathematics
1 answer:
shusha [124]3 years ago
5 0
<h2>Option B is the correct answer.</h2>

Step-by-step explanation:

We need to find average value of e^{2x} in [2,4]

Area of e^{2x} in [2,4] is given by

                  \int_{2}^{4}e^{2x}dx=\frac{1}{2}\times \left [ e^{2x}\right ]^4_2\\\\\int_{2}^{4}e^{2x}dx=\frac{1}{2}\times(e^8-e^4)=1463.18

Area of e^{2x} in [2,4] = 1463.18

Difference = 4 - 2 = 2

Average value = Area of e^{2x} in [2,4] ÷ Difference

Average value = 1463.18 ÷ 2

Average value = 731.59

Option B is the correct answer.

You might be interested in
One week you tell 3 of your friends a secret. The next week, each of them tells 3 people the secret and the next week each of th
Ulleksa [173]
81 people  will know the secret by week 4
4 0
3 years ago
Read 2 more answers
Suppose f(x)=x^2 what is the graph of g(x)=f(2x)
Naddika [18.5K]

Answer:

Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):

g(x) = f(2x) = (2x)² = 4x²

Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:

7 0
3 years ago
I need to know if this works
Delvig [45]
Can you see it ? I hope the picture help !

3 0
3 years ago
Students in the student council are selling candy bars. They earn $0.75 on each candy bar they sell. Their goal is to earn at le
mina [271]

Answer:

427 candy bars.

Step-by-step explanation:

320 ÷ 0.75 = 426.66 (Rounds up to 427)

7 0
3 years ago
Kalvin tosses a coin five days in a row and gets tails every time. Do you think there is something wrong with the coin? How can
riadik2000 [5.3K]
I don’t think there is anything wrong with the coming there is just a 50% chance that It would land on tails and there’s a 50% chance that it will land on heads ‍♀️☺️
7 0
3 years ago
Other questions:
  • Find the x-intercept for the line represented by this equation.
    9·1 answer
  • My professor showed us in class today how to use ode45 to solve a differential equation numerically. i would like to use it on m
    12·1 answer
  • What is 16 less than a number
    9·2 answers
  • PLEASE HELP URGENT!!!!!!!! NUMBER 46 AND 47!!!!!!!!!!!!!!
    13·1 answer
  • The line graph below shows the number of chocolate bars and ice lollies sold at a small shop over a year
    8·1 answer
  • Lea is making a mosaic picture that is 3/4 foot tall and 11/12 foot wide what is the area of her mosaic
    5·1 answer
  • Write an equation in slope intercept form with the slope as 1/3 and the point (-3,4)
    13·1 answer
  • Please help me!
    11·1 answer
  • nesecito ayuda para hacer el ejercico es para hoy!!!!! Un número se multiplica por 37 y al sumar los productos parciales resulta
    15·1 answer
  • Evaluate: 100−20.2×4.5.<br> i need this for imagen math
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!