x=t-sinty=1-cost to the curve given by the parametric equation t=\frac{\pi}{3

Reeves 2021-08-29 Answered

\(x=t-\sin t\)
\(y=1-\cos t\) to the curve given by the parametric equation
\(\displaystyle{t}={\frac{{\pi}}{{{3}}}}\) find teh equation of the line that is tangent at its point

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Plainmath recommends

  • Ask your own question for free.
  • Get a detailed answer even on the hardest topics.
  • Ask an expert for a step-by-step guidance to learn to do it yourself.
Ask Question

Expert Answer

krolaniaN
Answered 2021-08-30 Author has 12484 answers

Given that:
image

image
Have a similar question?
Ask An Expert
1
 

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Relevant Questions

asked 2021-08-16
Let C be the curve described by the parametric equations x(t)= t, y(t) =\(\displaystyle{t}^{{3}}\)
a) sketch a graph of C
b) find the vector-valued function f(t) associated with this parameterization of the curve C.
asked 2021-08-19
A curve is given by the following parametric equations. \(\displaystyle{x}={20}{\cos{{t}}},{y}={10}{\sin{{t}}}\).
The parametric equations are used to represent the location of a car going around the racetrack.
a) What is the cartesian equation that represents the race track the car is traveling on?
b) What parametric equations would we use to make the car go 3 times faster on the same track?
c) What parametric equations would we use to make the car go half as fast on the same track?
asked 2021-08-22
Consider the curve in the plane given in polar coordinates by \(\displaystyle{r}={4}{\sin{\theta}}\). Find the cartesian equation for the curve and identify the curve
asked 2021-08-20
Parametric equations and a value for the parameter t are given \(\displaystyle{x}={t}^{{2}}+{3},{y}={6}-{t}^{{3}}\).t=2
Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.
asked 2021-08-22
Parametric equations and a value for the parameter t are given x = 3 - 5t, y = 4 + 2t. t = 1.
Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.
asked 2020-10-18

Find the exact length of the parametric curve \(\displaystyle{0}{<}{t}{<}\pi\)
\(\displaystyle{x}={\cos{\cdot}}{e}^{{t}}\)
\(\displaystyle{y}={\sin{\cdot}}{e}^{{t}}\)

asked 2021-08-22
Parametric equations and a value for the parameter t are given \(\displaystyle{x}={\left({80}{\cos{{45}}}^{{o}}\right)}{t},{y}={6}+{\left({80}{\sin{{45}}}^{{o}}\right)}{t}-{16}{t}^{{2}}\). t = 2.
Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.
...