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Recent questions in Parametric equations

kiki195ms 2021-11-27

Find parametric equations and a parameter interval for the motion of a particle that starts at $(a, 0)$ and traces the circle $x^{2} + y^{2} = a^{2}$ once counterclockwise

impresijuzj 2021-11-26

Domains Find the domain of the following vector-valued function.
$r (t) = \frac{2}{t - 1} i + \frac{3}{t + 2} j$

Sherry Becker 2021-11-26

Find sets of parametric equations and symmetric equations of the line that passes through the two points (if possible)
$(3, - 5, - 2), (\frac{- 2}{5}, \frac{2}{5}, 1)$
a) Parametric equations
b) Symmetric equations
$\frac{x}{17} = \frac{y}{27} = \frac{z + 2}{15}$

embaseclielenzn 2021-11-26

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.
$\begin{array}{cc} Point & Parallel to v = \\ (0, 0, 0) & << 8, 1, 4 >> \end{array}$
(a) parametric equations
(b) symmetric equations
$8 x = y = 4 z$
$4 x = y = 8 z$
$\frac{x}{8} = y = \frac{z}{4}$
$\frac{x}{4} = y = \frac{z}{8}$

ahgan3j 2021-11-26

Which of the following vectorvalued functions represent the same graph?
a) $r (t) = (- 3 \cos t + 1) i + (5 \sin t + 2) j + 4 k$
b) $r (t) = 4 i + (- 3 \cos t + 1) j + (5 \sin t + 2) k$
c) $r (t) = (3 \cos t - 1) i + (- 5 \sin t - 2) j + 4 k$
d) $r (t) = (- 3 \cos 2 t + 1) i + (5 \sin 2 t + 2) j + 4 k$

smismSitlougsyy 2021-11-26

Explain how the rectangular equation $y = 5 x$ can have infinitely many sets of parametric equations.

TokNeekCepTdh 2021-11-26

Prove that if r is a vector-valued function that is continuous at c, then $| | r | |$ is continuous at c.

vousetmoiec 2021-11-26

Find the limit of the following vector-valued functions at the indicated value of t.
$lim_{t \to 4} ⟨ \sqrt{t - 3}, \frac{\sqrt{t -} 2}{t - 4}, \tan (\frac{π}{t}) ⟩$

shelbs624c 2021-11-26

Discover a set of parametric equations of the line with the given characteristics. The line passes through the point. $(- 4, 5, 2)$ and is parallel to the xy-plane and the yz-plane

skomminbv 2021-11-26

Describe the motion of a particle when the tangential component of acceleration is 0.

vomiderawo 2021-11-26

Consider the following function. (Let n be an arbitrary integer.)
$r (t) = \tan (t) i + j + k$
(a) Find the domain of r.
(b) Determine the interval(s) on which the function is continuous.

inlays85k5 2021-11-26

Locate the open interval(s) on which the vectorvalued function's curve appears. $r () = 2 \cos^{3} i + 3 \sin^{3} j, 0 \leq\leq 2$ is smooth.

Halkadvalseln 2021-11-26

Derivatives of vector-valued functions
Differentiate the following function.
$r (t) = ⟨ 4, 3 \cos 2 t, 2 \sin 3 t ⟩$

zachutnat4o 2021-11-26

Find the velocity and acceleration of the following vector-valued functions.
$r (t) = t^{2} i + t^{4} j$ at $t = 1$

grislingatb 2021-11-26

Represent the line segment from P(-2, -3, 8), Q(5, 1, -2) by a vector-valued function and by a set of parametric equations.

Schwelliney 2021-11-25

Find $r^{'} (t), r (t_{\circ})$ , and $r^{'} (t_{\circ})$ for the given value of $t_{\circ} = 3$ . Then sketch the curve represented by the vector-valued
function $r (t) = (1 - t^{2}) i + t j$ , and sketch the vectors r(t0) and $r^{'} (t_{\circ})$ .

sonkitty2h 2021-11-25

Determine the interval(s) on which the vector-valued function is continuous $r (t) = t i + \arcsin t j + (t - 1) k .$

parthe0o 2021-11-25

Find the velocity and acceleration of the following vector-valued functions
$r (t) = ⟨ t^{2}, t^{3}, t^{4} ⟩$
$r (t) = ⟨ 3 \cos t, 5 \sin t, 4 \cos t ⟩$

Elma Wilson 2021-11-25

Give an example of a vector-valued function that is defined but not continuous at $t = 3$

hrostentsp6 2021-11-25

Represent the plane curve by a vector-valued function.
$2 x - 3 y + 5 = 0$

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