asked 2021-11-19

Match the parametric equations with the graph (labeled I- VI). Give reasons for your choices.

\(\displaystyle{x}={\cos{{8}}}{t}\) , \(\displaystyle{y}={\sin{{8}}}{t}\) , \(\displaystyle{z}={e}{0.8}{t}\), \(\displaystyle{t}\geq{0}\)

\(\displaystyle{x}={\cos{{8}}}{t}\) , \(\displaystyle{y}={\sin{{8}}}{t}\) , \(\displaystyle{z}={e}{0.8}{t}\), \(\displaystyle{t}\geq{0}\)

asked 2021-11-20

a) \(\displaystyle{x}={t}^{{{4}}}-{t}+{1},\ {y}={t}^{{{2}}}\)

b) \(\displaystyle{x}={t}^{{{2}}}-{2}{t},\ {y}=\sqrt{{{t}}}\)

c) \(\displaystyle{x}={\sin{{2}}}{t},\ {y}={\sin{{\left({t}+{\sin{{2}}}{t}\right)}}}\)

d) \(\displaystyle{x}={\cos{{5}}}{t},\ {y}={\sin{{2}}}{t}\)

e) \(\displaystyle{x}={t}+{\sin{{4}}}{t},\ {y}={t}^{{{2}}}+{\cos{{3}}}{t}\)

f) \(\displaystyle{x}={\frac{{{\sin{{2}}}{t}}}{{{4}+{t}^{{{2}}}}}},\ {y}={\frac{{{\cos{{2}}}{t}}}{{{4}+{t}^{{{2}}}}}}\)

asked 2021-05-17

Math the parametric equation with the correct graph

asked 2021-11-20

\(\displaystyle{F}{\left({x},\ {y}\right)}={\left({x},\ -{y}\right)}\)

asked 2021-10-19

a) Express the polar equation in parametric from

b) Graph the parametric equation you found in part a. \(\displaystyle{r}={2}^{{{\frac{{\theta}}{{{12}}}}}},{0}\leq\theta\leq{4}\pi\)

asked 2021-11-04

Point: (-3, 4, 5)

Parallel to: \((x-1)/2 = (y+1)/-3 = z - 5\)

(a) Parametric equations

(b) symmetric equations

asked 2021-10-23

Find parametric equations for the line of intersection of the planes \(3x-2y+z=1\), \(2x+y-3z=3\)