Graph the sets of points whose polar coordinates satisfy the equations
and inequalities $r\ge 1$

amanf
2021-08-15
Answered

Graph the sets of points whose polar coordinates satisfy the equations
and inequalities $r\ge 1$

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lamanocornudaW

Answered 2021-08-16
Author has **85** answers

To graph point-set graphs you need

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What is the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1).

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The rectangular coordinates of a point are (-4, 4). Find polar coordinates of the point.

asked 2021-06-06

Find the length of the curve.

$r(t)=\u27e86t,\text{}{t}^{2},\text{}\frac{1}{9}{t}^{3}\u27e9,\text{}0\le t\le 1$

asked 2021-09-22

Find the exact length of the curve. Use a graph to determine the parameter interval.

$r={\mathrm{cos}}^{2}\left(\frac{\theta}{2}\right)$

asked 2022-06-08

Determine if a complex parametric function is analytic.

$z=x+iy$

$w=f(z)=u(x,y)+iv(x,y)$

$\text{Analytic if:}\text{}\text{}\text{}{u}_{x}={v}_{y}\text{}\text{}\text{and}\text{}\text{}{u}_{y}=-{v}_{x}$

This is not to hard for most problems. However, what if z is in parametric form? For example,

$z(t)=\mathrm{cos}(t)+i\mathrm{sin}(t)$

Is it simply analytic if ${u}_{t}={v}_{t}$ ?

$z=x+iy$

$w=f(z)=u(x,y)+iv(x,y)$

$\text{Analytic if:}\text{}\text{}\text{}{u}_{x}={v}_{y}\text{}\text{}\text{and}\text{}\text{}{u}_{y}=-{v}_{x}$

This is not to hard for most problems. However, what if z is in parametric form? For example,

$z(t)=\mathrm{cos}(t)+i\mathrm{sin}(t)$

Is it simply analytic if ${u}_{t}={v}_{t}$ ?

asked 2021-02-25

Represent the line segment from P to Q by a vector-valued function and by a set of parametric equations $P(-3,-6,-1),Q(-1,-9,-8)$ .

asked 2022-07-10

What is the polar form of $(11,-9)$ ?