1. Questions

Math

Hi,
I wanted to know how wanted to know if i was doing this step right for my homework. the question is Given rt=<sin(t)-tcos(t), cos(t)+ tsin(t),t^2 sqrt 3 and the whole thing is divided by two.
The question is find the velocity vector and find V(pi)
for the first one i got cos(t)- 1(cos(t)-tsin(t) so that would give -tsint
the second integral would be sint+1*sin(t)+tcost so here it would be tcost. i don't know what the integral is for t^2sqrt 3/2 i want to say that its 2 t^2.
The second part asks to find the speed which is calculated by taking magntiude of the velocity vector.
which happents to be sqrt of t^2cos^2t+t^2sin^2t+4t^4you get that by using 2t^2.
so that becomes sqrt of t^2+ 4t^4 is there any way to simplify it further.
Thank you


I cannot interpret your question. You write:
<<the question is Given rt=<sin(t)-tcos(t), cos(t)+ tsin(t),t^2 sqrt 3 and the whole thing is divided by two.
The question is find the velocity vector and find V(pi)
>>
Is rt supposed to be r as a function of t?
Why are there three commas on right side of your equation? Do they separate different components?
What is pi?


yes r is the function of r. the 3 commas are for x,y,z. it says to find V(t) and then use it to find V(pi)


Thanks for explaining. I will assume that V(pi) mean the velocity when t = pi (seconds). I or someone else will post again later. I need to take a loser look at the problem.


I don't agree with your calculations.
I get
Vx = +t sin t
Vy = - 2 sin t - cos t
Vz = 2 t sqrt 3
Substitute t = pi for the velocity components when t = pi
Vx = 0
Vy = 1
Vz = 2 pi sqrt 3
For the speed take the sqrt of the sum of the squares.
|V| (at t = pi) = sqrt [1 + 12 pi^2] = 10.93
Check my math; there could be some errors but you need to differentiate the three r components more carefully. There is no integration involved here.

  1. 👍
  2. 👎
  3. 👁
Sukhpreet

Respond to this Question

First Name

Your Response

Similar Questions

  1. Social Studies

    How did Americans disagree over the role of federal and state governments before and during the Civil War? The North wanted the federal government to govern the entire country. The South wanted the states to have much more power.

  2. social studies

    (55) All fines that have been given to us unjustly and against the law of the land . . . shall be entirely remitted [given back] or the matter decided by a majority judgment of the twenty-five barons . . . together with [the]

  3. art

    9. Why did artist Christo think it was important not to rely on any donors when he wrapped the Miami islands in pink? A. Christo was independently wealthy and did not need donors. *** B. Christo wanted to prove he could do

  4. Social Studies

    What did Siddhartha Gautama, also known as the Buddha, want to achieve? A. He wanted to build monasteries throughout India. B. He wanted to free the world from suffering. C. He wanted to become a Hindu prince. D. He wanted to

  1. social studies

    PLEASE HELP!!!!! (55) All fines that have been given to us unjustly and against the law of the land . . . shall be entirely remitted [given back] or the matter decided by a majority judgment of the twenty-five barons . . .

  2. Social Studies

    Why did the Palestinians’ relationship with Israel worsen when Hamas won the most seats in the 2006 Palestinian parliamentary election? A.) Hamas wanted to eliminate Israel as a country. B.) Hamas wanted Israel to invade

  3. Social Studies

    can someone plzz help me Why did nationalist movements gain strength in Asia and Africa after World War II? A. Asian and African nations wanted a return to colonial-style governments. B. People in the colonies wanted to choose

  4. Please check my answers(Social Studies)

    1. What was the primary reason that roger Williams left the Massachusetts bay colony and founded the Rhode Island colony? He wanted to start a colony where the government had more power He was forced out by native Americans He

  1. History

    What can be inferred by the passage of black codes? Many Southerners were willing to allow African american equality Many white southerors wanted them to remain as servents Many white southernors wanted african americans to recive

  2. American History

    What caused many people in the urban middle class to oppose Díaz’s dictatorship and support a political revolution? A. They wanted more land and better lives. B. They wanted a democratic government. C. They wanted better wages

  3. Social Studies

    2. What was Hamilton’s rationale for placing a tax on whiskey? He planned to use the tax to reduce national debt He wanted to impose a penalty on farmers for producing too much Whiskey He wanted to halt the export of whiskey He

  4. us history

    Which sentence best explains why delegates met at the First Continental Congress? They were worried after the Boston Tea Party and wanted to avoid going to war over taxes and protests. They were tired of being taxed on tea and

You can view more similar questions or ask a new question.