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
Nuetrik [128]
2 years ago
9

Evaluate the line integral, where c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Mathematics
1 answer:
Arada [10]2 years ago
7 0

The value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

The parametric equations for the line segment from (0, 0, 0) to (2, 3, 4)

x(t) = (1-t)0 + t×2 = 2t  

y(t) = (1-t)0 + t×3 = 3t

z(t) = (1-t)0 + t×4 = 4t

Finding its derivative;

x'(t) = 2

y'(t) = 3

z'(t) = 4

The line integral is given by:

\rm \int\limits_C {xe^{yz}} \, ds = \int\limits^1_0 {2te^{12t^2}} \, \sqrt{2^2+3^2+4^2} dt

 

\rm ds = \sqrt{2^2+3^2+4^2} dt

After solving the integration over the limit 0 to 1, we will get;

\rm \int\limits_C {xe^{yz}} \, ds = \dfrac{\sqrt{29}}{12}  (e^{12}-1)   or

= 73037.99 ≈ 73038

Thus, the value of line integral is, 73038 if the c is the given curve. C xeyz ds, c is the line segment from (0, 0, 0) to (2, 3, 4)

Learn more about integration here:

brainly.com/question/18125359

#SPJ4

You might be interested in
I will give Brainliest and thanks to the correct answer. Solve the questions.
sesenic [268]

Answer:

8 from the box on right corner

4 0
2 years ago
How do you do number 9?
Ket [755]
I think you just add all the sides even the ones you don't see. The left side of the shape is 6m as well as the right. and the same with the 4s. The answer is 36.
3 0
3 years ago
Read 2 more answers
Express 1.27 as a percent
pickupchik [31]

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 1.27 × 100 = 127% (answer)

4 0
3 years ago
Which group of numbers is listed from least to greatest?
Oksi-84 [34.3K]
He fourth one: 4,5,6,7,8...if it has those two bars || it means absolute value which basically means if its negative you just change it to a posotive :)
3 0
3 years ago
Read 2 more answers
1<br> 1<br> 2<br> 2)<br> Solve (3 x 4) - (24 - 18)=
navik [9.2K]

Answer:

The answer is 6 if you need an explanation I have one

4 0
3 years ago
Read 2 more answers
Other questions:
  • The root x = 1 has multiplicity 3 for the function<br>f(x)=x^3-x^2-x+1<br><br>true or false
    13·2 answers
  • A shark is at -80 feet. It swims up and jumps out of the water to a height of 15 feet. Write a subtraction expression for the ve
    9·1 answer
  • Simplify using long division. (Remember to show all your work.)
    8·1 answer
  • A politician running for a third term is planning to contact all contributors to her first two campaigns. If 1,576 individuals c
    10·1 answer
  • Construct argument comparing the numbers 492111 and 409867
    14·1 answer
  • Whats the answer please
    7·1 answer
  • 13 added to the product of an integer and negative 7 is 62
    10·1 answer
  • £50 is divided between Krutika, Natasha &amp; Richard so that Krutika gets twice as much as Natasha, and Natasha gets three time
    11·2 answers
  • Solve for d.<br> 85 = 5(d − 68)
    5·2 answers
  • 3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!