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
just olya [345]
3 years ago
15

Evaluate the line integral c f · dr, where c is given by the vector function r(t). f(x, y) = xy i + 6y2 j r(t) = 16t6 i + t4 j,

0 ≤ t ≤ 1
Mathematics
1 answer:
netineya [11]3 years ago
7 0
\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\mathbf f(\mathbf r(t))\cdot\mathrm d(16t^6\,\mathbf i+t^4\,\mathbf j)
=\displaystyle\int_0^1\bigg(16t^{10}\,\mathbf i+6t^8\bigg)\cdot\bigg(96t^5\,\mathbf i+4t^3\,\mathbf j\bigg)\,\mathrm dt
=\displaystyle\int_0^1(1536t^{15}+24t^{11})\,\mathrm dt=98
You might be interested in
Find the population mean or sample mean as indicated.<br> Sample: 17, 11, 8, 12, 22
Dominik [7]

Answer:

mean:12

Step-by-step explanation:

6 0
3 years ago
Do 5, 2, 4, make a triangle
Norma-Jean [14]
Yea but it would be an obtuse triangle
4 0
3 years ago
Click this link to view O'NET's Skills section for Municipal Clerks Note that common skills are listed toward the top
Alika [10]
Writing, reading comprehension
3 0
3 years ago
Read 2 more answers
Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decre
Anarel [89]
<h3>Answer:   y^4 - 2y^3 + 7y^2 + y - 5</h3>

Work Shown:

h(y) = f(y) + g(y)

h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)  

h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2  

h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)

h(y) = y^4 - 2y^3 + 7y^2 + y - 5

This is a fourth degree polynomial (aka quartic).

5 0
2 years ago
masons cell phone company charges $0.12 for every text message he sends plus $2.50 per month if mason sent 25 messages this mont
klemol [59]

Answer:

The answer would be $5.5

Step-by-step explanation:

First, multiply $0.12 by 25 to get $3. Add the $3 to $2.50 to get your answer of $5.5

3 0
3 years ago
Other questions:
  • HELP PLEASE. DON'T BAIL OUT! 60 POINTS!
    15·1 answer
  • What is 2x+13-5=7x-30
    10·2 answers
  • 144% of what number is 33​
    5·1 answer
  • WILL MARK BRAINLIEST!!! I NEED AN ANSWER SOON!! THX : )
    6·2 answers
  • Hi, can someone please give me a detailed explanation on how to solve this problem?
    5·1 answer
  • A survey was conducted of 450 high school students asking which class they prefer, math or
    7·2 answers
  • Kerry has a new phone plan. It works by charging $20 per month and then $0.10 for each minute over 200 minutes.
    11·1 answer
  • Plz help i will mark brainliest :)))!
    11·1 answer
  • Need help with some math
    10·1 answer
  • For δabc, which one is equivalent to sin(a)? cos(b) sin(b) cos(c) tan(c)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!