Graph the plane curve defined by the parametric equationsx = 125 cos t and y = 125 sin t

beljuA 2021-02-24 Answered

Graph the plane curve defined by the parametric equations \(x = 125 \cos t\ and\ y = 125 \sin t\)

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

Tasneem Almond
Answered 2021-02-25 Author has 11608 answers

Step 1 We have to graph the plane curve defined by the parametric equations \(x=125 \cos t\ and\ y=125 \sin t\)

Step 2 The parametric equations defined by \(x=125 \cos\ t\ and\ y=125\)sintrepresents the equation of a circle with center at origin and radius 125. Now ,We graph the parametric equation defined by \(x=125 \cos\ t\ and\ y = 125\sin t, 0 \leq t \leq 2\pi\)

 

image
Have a similar question?
Ask An Expert
27
 

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 2021-01-08

Find, correct to four decimal places, the length of the curve of intersection of the cylinder \(\displaystyle{4}{x}^{{2}}+{y}^{{2}}={4}\) and the plane \(x + y + z = 5.\)

asked 2021-06-05

Find the exact length of the curve. Use a graph to determine the parameter interval.
\(r=\cos^2(\frac{\theta}{2})\)

asked 2021-03-09

Given \(\displaystyle{r}′{\left({t}\right)}=⟨{\sec{{2}}}{t},−{\sin{{t}}}⟩\), find the arc length of the curve r(t) on the interval \(\displaystyle{\left[-\frac{\pi}{{3}}\right]}\)

asked 2021-02-02

Let \(\displaystyle{f{{\left({x},{y}\right)}}}=-\frac{{{x}{y}}}{{{x}^{{2}}+{y}^{{2}}}}\).
Find limit of \(f(x,y)\ \text{as}\ (x,y)\ \rightarrow (0,0)\ \text{i)Along y axis and ii)along the line}\ y=x.\ \text{Evaluate Limes}\ \lim_{x,y\rightarrow(0,0)}y\log(x^{2}+y^{2})\),by converting to polar coordinates.

asked 2020-12-16

Find the gradient at the point (3,-3,2) of the scaler field given by \(f=xy-4ze+35\)

asked 2020-11-17

Write a short paragraph explaining this statement. Use the following example and your answers How long does it take the particle to go once around the circle? Find parametric equations if the particle moves twice as fast around the circle. The position of a particle is given by the parametric equations \(x = \sin t, y = \cos t\) where 1 represents time. We know that the shape of the path of the particle is a circle.

asked 2021-05-14

Change from rectangular to spherical coordinates. (Let \(\rho\geq0,\ 0\leq\theta\leq 2\pi\), and \(0\leq\phi\leq\pi.)\)
a) \((0,\ -8,\ 0)(\rho,\theta, \phi)=?\)
b) \((-1,\ 1,\ -2)(\rho, \theta, \phi)=?\)

...