To plot: Thepoints which has polar coordinate displaystyle{left({2},frac{{{7}pi}}{{4}}right)} also two alternaitve sets for the same.

Suman Cole 2021-03-02 Answered
To plot: Thepoints which has polar coordinate (2,7π4) also two alternaitve sets for the same.
You can still ask an expert for help

Expert Community at Your Service

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

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Dora
Answered 2021-03-03 Author has 98 answers

Let the point (2,7π4) be denoted by P.
Consider the point (2,7π4), it is 2 units from the Origin O and line OP makes an angle of 7π4 with the positive direction of the x-axis.
Add pi to the angle and change cardinal coordinate to -2 to get one alternate solution.
Therefore, the point P (2,7π4) can also be represented by (2,7π4+π)=(2,11π4).
Change the radial coordinate to -2 and subtract 3π from the angle to obtain the other alternate solution.
Thus, the point P(2,7π4) can be given by (2,7π43π)
=(2,19π4).
Use online graphing calculator and plot the points of P as shown below in Figure 1.
image
From the Figure 1 it can be noted that alternate representations are plotted on the same location.

Not exactly what you’re looking for?
Ask My Question

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 2021-02-19
Given V = R, and two bases: B and C and the coordinator [v]B a) Find the change of coordinates matrix PBC. b) Find the coordinator [v]C.
asked 2020-10-20

Consider the linear transformation U:R3R3 defined by U(xyz)=(zyz+y3zxy) and the bases ϵ={(100),(010),(001)},γ={(1i1+i1),(110),(001)}, Compute the four coordinate matrices [U]ϵγ,[U]γγ,

asked 2021-02-14
Let A and C be the following ordered bases of P3(t): A=(1,1+t,1+t+t2,1+t+t2+t3)
C=(1,t,t2t3) Find tha change of coordinate matrix ICA
asked 2021-01-19

Let B={[12],[21]} and C={[21],[13]}
be bases forR2. Change-of-coordinate matrix from C to B.

asked 2020-11-06

(i)Prove that ifv1,v2is linearly dependent, then are multiple of each other, that is, there exists a constant c such that v1=cv2 or v2=cv1.
(ii)Prove that the converse of(i) is also true.That is to say, if there exists a constant c such that v1=cv2 or v2=cv1, 1. thenv1,v2is linearly dependent.

asked 2021-08-05
We can describe the location of a point in the plane using different ________ systems. The point P shown in the figure has rectangular coordinates ( _ , _ ) and polar coordinates ( _, _).
asked 2020-11-03

Interraption: To show that the system r˙=r(1r2),θ˙=1 is equivalent to x˙=xyx(x2+y2),y˙=x+yy(x2+y2) for polar to Cartesian coordinates.
A limit cycle is a closed trajectory. Isolated means that neighboring trajectories are not closed.
A limit cycle is said to be unstable or half stable, if all neighboring trajectories approach the lemin cycle.
These systems oscillate even in the absence of external periodic force.