![nakeytrag](/avatars/46862.jpg)
nakeytrag
06.10.2019 •
Mathematics
Find parametric equations for the tangent line at the point (cos(2π/6),sin(2π/6),2π/6) on the curve x=cost, y=sint, z=t x(t) = y(t)= z(t)= (your line should be parametrized so that it passes through the given point at t=0).
Solved
Show answers
More tips
- F Family and Home Is it Worth Knowing the Gender of Your Child Before Birth?...
- H Health and Medicine Mercury Thermometer Danger: What to do when a thermometer breaks?...
- F Food and Cooking How to cook crayfish? Everything you need to know...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- G Goods and services Which TV is better - LCD or Plasma?...
- S Sport How to Learn to Pull Up on Monkey Bars?...
- L Leisure and Entertainment Scrapbooking: What is it and Why is it Becoming More Popular?...
- C Computers and Internet Where did torrents.ru move to?...
Answers on questions: Mathematics
- M Mathematics Last month the total rainfall was 14.5 inches. This month the rainfall totaled 8.90 inches. What was the percent of change in rainfall?...
- M Mathematics PLEASE ANSWER WILL GIVE BRAINLIEST...
- E English Write me a parody of astronauts in the ocean but its about qin shi huang...
- E English Which of the following is the scientific definition of the word acceleration as it is used in the text when describing the principles of roller coaster physics? A: a decrease...
- M Mathematics Where are four athletes in a relay team. the masses of three of these athletes are32.5kg, 47.8kg and 53.9kg respectively. calculate, in kgthe total mass of these three athletesii....
Ответ:
(ii) For the direction vector:
Differentiating the curve yields x' = -sin t, y' = cos t, z' = 1.
So, the direction vector v for the tangent line is (x', y', z') at t = 2π/6 (where the point is located):
==> v = (-sin 2π/6, cos 2π/6, 1) = (-sqrt(3)/2, 1/2, 1).
Hence, the equation of the tangent line at the prescribed point is
r(t) = (1/2, sqrt(3)/2, π/3) + t(-sqrt(3)/2, 1/2, 1).
Parametrically, this is given by
x = 1/2 - t sqrt(3)/2
y = sqrt(3)/2 + t/2
z = π/3 + t.
I hope this helps!
Ответ:
2.5 us dollars
Step-by-step explanation: