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tabuordy

Answered 2021-09-12
Author has **13599** answers

asked 2021-09-03

Find the tangent line(s) to the parametric curve given by

\(\displaystyle{x}={t}^{{5}}-{4}{t}^{{3}}\)

\(\displaystyle{y}={t}^{{2}}\)

\(\displaystyle{x}={t}^{{5}}-{4}{t}^{{3}}\)

\(\displaystyle{y}={t}^{{2}}\)

asked 2021-09-14

Find the length of the parametric curve defined over the given interval
\(\displaystyle{x}={3}{t}-{6},{y}={6}{t}+{1},{0}\le{t}\le{1}\)

asked 2021-09-04

Sketch the parametric curve for the following set of parametric equations. Clearly indicate direction of motion

1)\(\displaystyle{x}={5}{\cos{{t}}}\)

2)\(\displaystyle{y}={2}{\sin{{t}}}\)

3)\(\displaystyle{0}\ge{t}\ge{2}\pi\)

1)\(\displaystyle{x}={5}{\cos{{t}}}\)

2)\(\displaystyle{y}={2}{\sin{{t}}}\)

3)\(\displaystyle{0}\ge{t}\ge{2}\pi\)

asked 2021-11-27

Find parametric equations for the given curve.

\(\displaystyle{\left({x}+{9}\right)}^{{{2}}}+{\left({y}-{4}\right)}^{{{2}}}={49}\)

\(\displaystyle{\left({x}+{9}\right)}^{{{2}}}+{\left({y}-{4}\right)}^{{{2}}}={49}\)

asked 2021-09-05

Write in Cartesian coordinates the parametric equations of the curve with polar equation
\(\displaystyle{r}{\left({t}\right)}={<}\sqrt{{t}},\frac{\pi}{{8}}{>}\).

asked 2021-09-13

\(x = f(t)\)

\(y = g(t)\)

\(r(t) = ft(i) + g(t)j\)

Now find the vector-valued function \(r(t)\) with the given parametric equations.

asked 2021-12-04

Let C be the curve described by the parametric equations \(\displaystyle{x}{\left({t}\right)}={t},{y}{\left({t}\right)}={t}^{{{3}}}\).

a) sketch a graph of C.

b) find the vector-valued function f(t) associated with this parameterization of the curve C.

c) find the velocity vector and the speed of f(t) at t=1.

a) sketch a graph of C.

b) find the vector-valued function f(t) associated with this parameterization of the curve C.

c) find the velocity vector and the speed of f(t) at t=1.