Detailed Explanations for Calculus 2 Equations

Find parametric equations for the line that passes through the point $(5, 2)$ and is parallel to the line
$y = \frac{- 7}{2} x - 2$

ArcactCatmedeq8 2021-12-02

Give parametric equations that generate the line with slope -2 passing through (1, 3).

n2z1emldk 2021-12-02

Find parametric equations the line (Use the parameter t.)
The line through the origin and the point $(9, 3, - 1)$
$(x (t), y (t), z (t)) = ?$
Find the symmetric equations.
a) $\frac{x}{9} = \frac{y}{3} = z$
b) $x + 9 = y + 3 = z - 1$
c) $x - 9 = y - 3 = z + 1$
d) $\frac{x}{9} = \frac{y}{3} = - z$
e) $\frac{x}{3} = \frac{y}{9} = - z$

Clifton Sanchez 2021-12-02

Find the Domain of the vector-valued function R
Let $\vec{R}$ be a vector-valued function defined by
$\vec{R} (t) = {\begin{cases} << \sqrt{4 - t} \frac{\sin 3 t}{t}, I n (t + 1) >> & , i f t \neq 0 \\ << 2, 3, 0 >> & , i f t = 0 \end{cases}$
Give dom $\vec{R}$
Determine whether $\vec{R}$ is a continuous at $t = 0$ .

gamomaniea1 2021-12-01

Help to plot the point Q(-9,0).

pamangking8 2021-12-01

Evaluate the limit. Note: two ‘o's make infinity $(\propto)$ .
$lim_{t a r r o w 0} ⟨ - 2 e^{t}, \frac{\sin (t)}{- 3 t}, {(t - 3)}^{2} ⟩$

rompentskj 2021-12-01

Unit tangent vectors Find the unit tangent vector for the following parameterized curves.
$r (t) = ⟨ 8, \cos 2 t, 2 \sin 2 t ⟩$ , for $0 \leq t \leq 2 π$

miyoko23q3 2021-11-30

Find the second derivative of y with respect to x from the parametric equations given.
$x = 1 - \frac{1}{t}, y = 6 - \frac{7}{t} + \frac{2}{t^{2}}$

Coroware 2021-11-30

Differentiate the vector-valued function $r (t) = ⟨ \sin (t^{2}), 4 t^{2} - t ⟩$ .

Baublysiz 2021-11-30

For problems 1 the area of the region below the parameric curve given by the set of parametric equations. For each problem you may assume that each curve traces out exactly once from right to left for the given range of t. For these problems you should only use the given parametric equations to determine the answer.
1) $x = t^{2} + 5 t - 1$
$y = 40 - t^{2}$
$- 2 \leq t \leq 5$

pamangking8 2021-11-30

Find sets of parametric equatons and symmetric equations of the line tha passes though the given point and is parallel to the given vector or line
$\begin{array}{cc} Point & Parallel to \\ (- 1, 0, 8) & v = 3 i + 4 j - 8 k \end{array}$
a) parametric equations
b) symmetric equations
$\frac{x + 1}{3} = \frac{y}{4} = \frac{8 - z}{8}$

krypsojx 2021-11-30

Represent the plane curve by a vector-valued function.
$4 x + 5 y - 20 = 0$

Virginia Caron 2021-11-30

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

inlays85k5 2021-11-30

Represent the plane curve by a vector-valued function $y = {(x - 2)}^{2}$

Boduszewox6 2021-11-29

Sketch the conic sections whose polar coordinate equations are given in. Give polar coordinates for the vertices and, in the case of ellipses, for the centers as well.
$r = \frac{2}{1 + \cos θ}$

goymdujf 2021-11-29

Find a set of parametric equations of the line that passes through the point
$(5, 6, 7)$
and is parallel to the xz-plane and the yz-plane.

zachutnat4o 2021-11-29

Find equations fot the osculation, normal, and rectifying planes of the curve $r (t) = t i + t 3 k$ at the point $(1, 1, 1)$ .

varaderiyw 2021-11-29

Find the decomposition of a(t) into tangential and
$r (t) = ⟨ t, \frac{1}{2} t^{2}, \frac{1}{6} t^{3}, t = 1 ⟩$

Ronnie Baur 2021-11-29

Find a vector-valued function whose graph is the indicated surface.
The cone $x = \sqrt{16 y^{2} + z^{2}}$

uneskovogl5 2021-11-29

Domains Find the domain of the following vector-valued function.
$r (t) = \cos 2 t i + e^{\sqrt{t}} j + \frac{12}{t} k$

When you are dealing with any Calculus 2 homework, it is vital to have a look at the various questions and answers that will help you see whether you are correct in your approach to finding solutions. Even if you are dealing with analytical aspects of Calculus 2, it will be helpful as you are looking at provided equations and learn how the answers relate to original questions and problems specified.

Do not be afraid to take a look at the basic integration and related application if Calculus 2 does not sound clear or start with the Calculus 1 first.

Calculus 2

Calculus 2 Equations: Expert Solutions and More