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
user100 [1]
3 years ago
13

Sketch the region enclosed by y=e3x,y=e5x and x=1. Decide whether to integrate with respect to x or y, and then find the area of

the region.
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

The area of the region is \text { Area } \approx 23.12

Explanation:

The area of the region is given by

\text { Area }=\int_{0}^{1}\left(e^{5 x}-e^{3 x}\right) d x

Integrating the terms inside the bracket, we get,

\left[\frac{e^{5 x}}{5}-\frac{e^{3 x}}{3}\right]

Now, applying the limits for x for the integrated term,

Area=\frac{e^{5}}{5}-\frac{e^{3}}{3}-\frac{e^{0}}{5}+\frac{e^{0}}{3}

Any number to the power of zero is one. Thus, substituting the values, we get,

Area=\frac{e^{5}}{5}-\frac{e^{3}}{3}-\frac{1}{5}+\frac{1}{3}

Adding the like terms,

Area=\frac{e^{5}}{5}-\frac{e^{3}}{3}+\frac{2}{15}

Simplifying the terms, we get,

\text { Area } \approx 23.12

Thus, The area of the region is \text { Area } \approx 23.12

You might be interested in
HELP ME PLS!!!
atroni [7]

Answer:

A. This conclusion was drawn using the law of detachment

Step-by-step explanation:

Definition:

Law of Detachment

If p equals q and p is also true. Then q is true.

if a number is a whole number, then it is an integer.

3 is a whole number (true statement) , so it 3 is an integer. (must be true)

8 0
2 years ago
6) Given the midpoint of segment KL ISM endpoint K ? (1, - 1)(8, - 7) . What are the coordinates of the other
Rudik [331]

Answer:

Step-by-step explanation:

Fitgsnmcdj agbshxtxi gxfhv

3 0
3 years ago
What is the image of point (-7, 7) for mapping (x, y) , (x – 1, x + 6).
Ugo [173]
Because we have the map we just need to change the x with -7 and y with 7.
So the map for (-7, 7) -> (-7-1, 7+6)=(-8, 13)

The answer to your question is B. I hope that this is the answer that you were looking for and it has helped you.
5 0
3 years ago
What are the lengths of the sides of the right triangle
Juli2301 [7.4K]

Answer:

The correct answer choices are:

D) x – h

G) y – k

Step-by-step explanation:

Edge2021

4 0
3 years ago
The book fair sold 60% of the books
natka813 [3]

Answer:

120 Books

Step-by-step explanation:

60% of 120 is 72

6 0
3 years ago
Other questions:
  • Mongoose McHuffy has a bike shop. He only has bicycles and tricycles in stock. In total he has 21 items in stock with a total of
    6·1 answer
  • Artie can travel 120.25 miles on 6.5 gallons of gas.
    8·2 answers
  • What is 3X minus 6 and how did you get there??? A. 7 B. 9 C. 15 D. 18
    15·2 answers
  • To obtain the area of a sector, what fraction is multiplied by the area of a circle (A = πr2)?
    13·1 answer
  • A large farm has 75 acres of wheat and 62.5 acres with a new job . The farm crew can harvest the wheat from 12 acres and the cor
    6·1 answer
  • HELP!
    5·1 answer
  • A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
    5·1 answer
  • Annie wants to arrange her science, English, and math text books in a row on a shelf. Which tree diagram best shows the sample s
    15·2 answers
  • A farmer had some chickens and some cows. She counted 40 total heads and 126 total legs. How many cows did she have?
    9·1 answer
  • Please help will wark brainliest
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!