rewrite cartesian equation r=(sinTHETA)/(2cos^2THETA)

Solutions

Expert Solution

The given polar eqn is,

use the following polar substitutions,

Now the given eqn becomes,

canceling r,

is the required cartesian equation of the given polar eqn.

I hope this answer helps,
Thanks,
Keep posting questions.

milcah answered 1 year ago

Next > < Previous

Related Solutions

1a. Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x(t) =...

1a. Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x(t) = cos(t) + 1 y(t) = 7 sin2(t) 1b. A dart is thrown upward with an initial velocity of 68 ft/s at an angle of elevation of 52°. Consider the position of the dart at any time t. Neglect air resistance. (Assume t is in seconds.) Find parametric equations that model the problem situation. x(t) = y(t) = 1c. A dart is thrown upward with...

For the following exercises, rewrite the parametric equation as a Cartesian equation by building an x-y table.

1. Find a Cartesian equation for the curve. r cos(θ) = 2 Identify the curve. 2....

1. Find a Cartesian equation for the curve. r cos(θ) = 2 Identify the curve. 2. Find a Cartesian equation for the curve. r = 4 sin(θ) Identify the curve.

How do I find the area between the following two polar curves. r = 2cos(theta) r=...

How do I find the area between the following two polar curves. r = 2cos(theta) r= sin(theta) + cos(theta)

Find Cartesian equation of a plane through the point a and parallel to the given vectors...

Find Cartesian equation of a plane through the point a and parallel to the given vectors p and q. a = (1, - 1, 3) , p= ‹2, -1, 0›, q= ‹2, 0, 6›.

find the value of r such that each of the following is true. rewrite the question...

find the value of r such that each of the following is true. rewrite the question and replace r with your answer. p(c<z<0)=0.4909 p(-c<z<c)= 0.8740

Write the heat conduction equation (without flow in and out) in cartesian coordinates for the following...

Write the heat conduction equation (without flow in and out) in cartesian coordinates for the following case: 1. Steady-state, 1-D, without heat generation (2 points) 2.Transient, 1-D, without heat generation (2 points) 3.Transient, 3-D, with heat generation (3 points) 3. Write the three types of boundary conditions. (3 points)

Write the equation of the line. What is r? What is r squared? Using the equation...

Write the equation of the line. What is r? What is r squared? Using the equation of the line if x is 25 what is y? Using the equation of the line if y is 20 what is x. x 25 32 27 24 26 18 20 23 20 16 19 15 20 27 27 y 28 34 36 28 31 22 24 26 24 23 22 13 23 35 29

The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r,...

The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) = (b) (-2, −2) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) =...

Write out the Navier Stokes equation in cartesian coordinates from vector form, for (mass,momentum).

Subjects