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Recent questions in Parametric equations

Josalynn 2021-10-11

Convert each polar equation to rectangular form. $θ = - \frac{π}{6}$

Bevan Mcdonald 2021-09-15

Sketch the vector field F by drawing a diagram. $F (x, y) = \frac{y i + x j}{{(x^{2} + y^{2})}^{\frac{1}{2}}}$

Joni Kenny 2021-09-15

For the given polar equation, write an equivalent rectangular equation
$r \cos θ = 13$

Jaya Legge 2021-09-15

Find the area of the region that lies inside both curves. $r = \sqrt{3} \cos θ, r = \sin θ$

Tahmid Knox 2021-09-15

Given the points (2,6) and (6,10), find at least three equations from exponential function that pass through these point

Falak Kinney 2021-09-15

Find sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. (For each line, write the direction numbers as integers.)
Point: (-3, 4, 5)
Parallel to: $\frac{x - 1}{2} = \frac{y + 1}{- 3} = z - 5$
(a) Parametric equations
(b) Symmetric equations

Tyra 2021-09-14

Find the length of the parametric curve defined over the given interval $x = 3 t - 6, y = 6 t + 1, 0 \leq t \leq 1$

coexpennan 2021-09-14

Find parametric equations for x, y, and z in terms of the polar coordinates r and $θ$ to determine the points on the portion of the paraboloid $x + y + z = 5$ that is on or above the plane $z = 4$

abondantQ 2021-09-14

Convert the point from rectangular coordinates to spherical coordinates. $(- 3, - 3, \sqrt{2})$

UkusakazaL 2021-09-14

Replace the polar equations with equivalent
Cartesian equations. Then describe or identify the graph. $r^{2} = - 4 r \cos θ$

Zoe Oneal 2021-09-13

A vector-valued function $r (t)$ with its defining parametric equations is given by the following.
$x = f (t)$
$y = g (t)$
$r (t) = f t (i) + g (t) j$
Now find the vector-valued function $r (t)$ with the given parametric equations.

Nann 2021-09-12

Determine the x-y coordinates of the points where the following parametric equations will have horizontal or vertical tangents $x = t^{3} - 3 t$
$y = 3 t^{2} - 9$

Falak Kinney 2021-09-12

Polar coordinates of point P are given. Find all of its polar coordinates.
$P = (1, - \frac{π}{4})$

OlmekinjP 2021-09-12

Surface s is a part of the paraboloid $z = 4 - x^{2} - y^{2}$ that lies above the plane $z = 0$ . $(6 + 7 + 7 = 20 p t)$

a) Find the parametric equation $\vec{r} (u, v)$ of the surface with polar coordinates $x = u \cos (v), y = u \sin (v)$ and find the domain D for u and v.

b) Find ${\vec{r}}_{u}, {\vec{r}}_{v},$ and ${\vec{r}}_{u} \cdot {\vec{r}}_{v}$ .

c) Find the area of the surface

UkusakazaL 2021-09-11

Express the point with cartesian coordinates Q(3,-1) in polar form

Wierzycaz 2021-09-11

$x = t - \sin t$
$y = 1 - \cos t -$ curve given by the parametric equation $= \frac{π}{3}$ in point
Find the equation of the tangent line

Anish Buchanan 2021-09-10

Determine the line integral along the curve C from A to B. Find the parametric form of the curve C
Use the vector field:
$\vec{F} = [- b x c y]$
Use the following values: $a = 5, b = 2, c = 3$

Chaya Galloway 2021-09-10

Take this graph of f over the interval (0,7) and find:
(a) The open intervals on which f is increasing. (Enter your answer using interval notation.)
(b) The open intervals on which f is decreasing.
(Enter your answer using interval notation.)
(c) The open intervals on which f is concave upward. (Enter your answer using interval notation.)
(d) The open intervals on which f is concave downward. (Enter your answer using interval notation.)
(e) The coordinates of the points of inflection.
(x,y)=( ) (smallest x-value)
(x,y)=( )
(x,y)=( ) (largest x-value)

Tolnaio 2021-09-10

Write an equations in indicated coordinate system. Also write a parametric equation and a vector equation for each of the following equations.

1) $\frac{x - 1}{2} = \frac{y - 5}{3} = \frac{z - 2}{4}$ cylindrical coordinates, sherical coordinates

2) $3 x + 4 y + 5 z = 6$ cylindrical coordinates, sherical coordinates

3) $x^{2} + y^{2} + z^{2} = 100$ cylindrical coordinates, sherical coordinates

4) $x^{2} + y^{2} = 100$ cylindrical coordinates, sherical coordinates

Efan Halliday 2021-09-09

Transform polar function $r = - 4 \sin (θ)$ to rectangular coordinates and graph, label your your graph clear with axes and scales

Parametric equations belong to the branch of Calculus and Analysis, which is why parametric equations examples that we have presented below will be of help as you are looking for answers to your questions dealing with polar coordinates equations or any other parametric equations example. If you need assistance with polar coordinates equations, consider taking a closer look at our examples as the solutions are always there within parametric equations questions that are listed on our website. Start with polar coordinates questions and follow the solutions based on polar coordinate examples like relativistic coordinate systems or homogenous coordinates.

Calculus 2

Expert Assistance for Parametric equations: Comprehensive Resources and Practice Problems