Explore Parametric Equations with Expert Guidance

Recent questions in Parametric equations

NompsypeFeplk 2021-11-28

True or false: There is more than one way for pairs of parametric equations to represent the same plane curve.

goymdujf 2021-11-28

State the Fundamental Theorem for Line Integrals

yapafw 2021-11-28

Let $r (t)$ and $u (t)$ be vector-valued functions whose limits exist as t c. Prove that
$lim_{t \to c} [r (t) \times u (t)] = lim_{t \to c} \times lim_{t \to c} u (t)$

Agaiepsh 2021-11-28

Find a set of parametric equations for the parabola whose equation is
$y = 9 - x^{2}$

skomminbv 2021-11-28

Find the domain of the vector-valued function
$r (t) = \sqrt{{(4 - t)}^{2}} i + t^{2} j - 6 t k$

impresijuzj 2021-11-28

Find two different sets of parametric equations for the rectangular equation
$y = x^{2} - 2$

nuais6lfp 2021-11-28

Find parametric equations for the line in which the planes
$x + 2 y + z = 1$ and $x - y + 2 z = - 8$ intersect.

Cordazzoyn 2021-11-28

Find a set of parametric equations of the line with the given characteristics
The line passes through the point $(- 2, 4, 7)$ and is perpendicular to the plane given by
$- x + 2 y + z = 4$

deliredejoker7m 2021-11-28

Find the second derivative of the vector-valued function
$\to r (t) = (5 t + 7 \sin (t)) i + (7 t + 2 \cos (t)) j$

rompentskj 2021-11-28

Determine the interval(s) on which the vector-valued function is continuous
$r (t) = 2 e^{- t} i + e^{- t} j + \ln (t - 1) k$

Travis Fogle 2021-11-27

Find parametric equations for the line through $(- 2, 0, 4)$ parallel to $v = 2 i + 4 j - 2 k$

cleritere39 2021-11-27

Compute the derivative of the vector-valued function $r (t) = ⟨ \sin 2 t, e t^{2} ⟩ .$

balff1t 2021-11-27

Find two different parametric equations for rectangular equation.
$y = - 2 x + 4$

krypsojx 2021-11-27

Find parametric equations for the following curves. Include an interval for the parameter values. Answers are not unique.
The line segment starting at $P (- 1, - 3)$ and ending at $Q (6, - 16)$

danrussekme 2021-11-27

Find parametric equations for the given curve.
${(x + 9)}^{2} + {(y - 4)}^{2} = 49$

ffortunyu 2021-11-27

Find two different sets of parametric equations for a rectangular equation
$y - x^{2} - 3$

skeexerxo175o 2021-11-27

Determine whether the statement " The graph of the parametric equations $x = t^{2}$ and $y = t^{2}$ is the line $y = x^{'}$ '', is true or false. If it is false, expalain why or give an example that shows it is false.

sputavanomr 2021-11-27

The acceleration of an object after t seconds is given by the vector-valued function
$\vec{a} (t) = ⟨ \cos (8 t), \sin (8 t), - 5 ⟩$
If the object's initial position is $(- 9, - 3, 10)$ , and the object's initial velocity is $⟨ 1, 0, 1 ⟩$ , find a vector-valued function $\vec{r} (t)$ representing the object's position at time t.

Grady Turner 2021-11-27

Find the velocity and acceleration of the following vector-valued functions.
$r (t) = e^{- t} i + e^{t} j + 4 k$ at $t = 0$

jeliceg2 2021-11-27

Represent the plane curve by a vector-valued function. (There are many correct answers.)
$3 x + 4 y - 12 = 0$

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