Question

asked 2021-02-11

The rectangular coordinates of a point are given \((-5, 2)\) . Use a graphing utility in radian mode to find polar coordinates of each point to three decimal places.

asked 2020-10-18

Find the exact length of the parametric curve \(\displaystyle{0}{<}{t}{<}\pi\)

\(\displaystyle{x}={\cos{\cdot}}{e}^{{t}}\)

\(\displaystyle{y}={\sin{\cdot}}{e}^{{t}}\)

\(\displaystyle{x}={\cos{\cdot}}{e}^{{t}}\)

\(\displaystyle{y}={\sin{\cdot}}{e}^{{t}}\)

asked 2020-12-30

Given \(r′(t)=⟨\sec2t,−\sint⟩\), find the arc length of the curve r(t) on the interval \([−π/3].\)

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[−

asked 2021-01-17

Find the solution of limit \(\displaystyle\lim_{{{\left({x},{y}\right)}\rightarrow{0},{0}}}\frac{{\sqrt{{{x}^{2}+{y}^{2}}}}}{{{x}^{2}+{y}^{2}}}\) by using the polar coordinates system.

asked 2021-02-04

The rectangular coordinates of a point are (4, −4). Plot the point and find two sets of polar coordinates for the point for \(0 < 2\).

asked 2020-11-30

Convert from polar to rectangular coordinates:
\((2,(\pi/2))\Rightarrow (x,y)\)

asked 2021-02-09

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

asked 2021-03-01

Polar coordinates of a point are given \((4, 90^\circ)\). Find the rectangular coordinates of each point.

asked 2020-12-22

The rectangular coordinates of a point are given (2, -2). Find polar coordinates of the point. Express theta in radians.