# 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. 👍 0
2. 👎 0
3. 👁 101

## Similar Questions

1. ### 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

asked by Help on October 29, 2019
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. ### History

What was the reason Columbus sailed to the Americans? He wanted to find riches He wanted to prove that the world was round He wanted to prove his seamanship •• He wanted to see India

asked by Lily on August 30, 2016
4. ### English

1. Why do you not like becoming a journalist? Because I want to become an office worker. 2. Why don't you not like becoming a journalist? Because I want to become an office worker. (Are both questions the same? Are the answers

asked by rfvv on March 27, 2010
5. ### History

What was the main reason for king louis support of french exploration of north America? A.he wanted to increase wealth through trade and colonies. B.He wanted to spread religion to native Americans. C.he wanted to help the British

asked by Xoxo lolly lolly on September 30, 2016
6. ### World History

Why did Garibaldi declare himself dictator of the Kingdom of the Two Sicilies? a. He wanted to rule the southern kingdom of Italy. b. He wanted to keep a promise he made to Mazzini. c. He wanted to rid Italy of the Bourbon

asked by Jessie on February 25, 2016

Why were women fighting for suffrage? A:because they wanted to end abuse toward women B:because they wanted to win the right to vote**** C:because they wanted to gain the right to work D:because they wanted to end women's

asked by Jacob on December 5, 2016
8. ### Social Studies

What was one reason Louis XIV spent lavishly on the arts? A. He wanted to show his power. B. He wanted to spread French culture to other lands. C. He wanted to control the content of French artwork. D. He wanted French artwork to

asked by Playtime on May 9, 2019
9. ### Social Studies

Why did the pilgrims leave England? A) They sought gold, silver, and riches B)They wanted to escape religious persecution C)They wanted to settle in a warmer climate D)The king wanted them to discover new land

asked by Ashlynn on September 17, 2018
10. ### history

What were Thaddeus Stevens’s plans for reintroducing Southern states during Reconstruction? He wanted to pardon Southern military and political leaders. He wanted to admit states when 10% of citizens had taken oaths of loyalty.

asked by michael on December 12, 2018
11. ### Social studies

4. Why were the Dutch and the French such fierce enemies in North America? (1 point) They both wanted control of the Mississippi River. They both wanted to settle the same area. They both wanted to dominate the fur trade. ••

asked by Toni on September 1, 2016

More Similar Questions