Parametric equations, polar coordinates, and vector-valued functions: Comprehensive Help

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Calculus and Analysis
Integral Calculus
Parametric equations, polar coordinates, and vector-valued functions

Recent questions in Parametric equations, polar coordinates, and vector-valued functions

Burhan Hopper 2021-02-11

The rectangular coordinates of a point are given $(- 5, 2)$ . Use a graphing utility in radian mode to find polar coordinates of each point to three decimal places.

tabita57i 2021-02-10

Find a set of parametric equations for the rectangular equation. $y = (x + 3)^{2} ∖ 5$

Bevan Mcdonald 2021-02-09

The rectangular coordinates of a point are (-4, 4). Find polar coordinates of the point.

Ernstfalld 2021-02-06

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. $x = e^{- 8 t} \cos (8 t), y = e^{- 8 t} \sin (8 t), z = e^{- 8 t}, (1, 0, 1)$

waigaK 2021-02-04

The rectangular coordinates of a point are (4, −4). Plot the point and find two sets of polar coordinates for the point for $0 < 2$ .

e1s2kat26 2021-02-02

Let $f (x, y) = - \frac{x y}{x^{2} + y^{2}}$ .
Find limit of $f (x, y) as (x, y) \to (0, 0) i)Along y axis and ii)along the line y = x . Evaluate Limes lim_{x, y \to (0, 0)} y \log (x^{2} + y^{2})$ ,by converting to polar coordinates.

Wribreeminsl 2021-02-02

Find the sets of symmetric and parametric equations of the line that runs parallel to the given vector or line and passes through the given point. (For each line, write the direction numbers as integers.) Point $(- 1, 0, 8)$ Parallel to $v = 3 i + 4 j - 8 k$ The given point is $(- 1, 0, 8) and the vector or line is v = 3 i + 4 j - 8 k .$ (a) parametric equations (b) symmetric equations

waigaK 2021-01-19

Parametric Equations of a Hyperbola Eliminate the parameter 0 in the following parametric equations. $x = a t a n 0 y = b s e c$ e

emancipezN 2021-01-17

Convert to polar coordinates. (3, 3)

emancipezN 2021-01-08

Investigation Consider the helix represented by the vector-valued function $r (t) = < 2 \cos t, 2 \sin t, t >$ (a) Write the length of the arc son the helix as a function of t by evaluating the integral $s = \int_{0}^{t} \sqrt{[x^{'} (u)]^{2} + [y^{'} (u)]^{2} + [z^{'} (u)]^{2} d u}$

nagasenaz 2021-01-08

Find, correct to four decimal places, the length of the curve of intersection of the cylinder $4 x^{2} + y^{2} = 4$ and the plane $x + y + z = 5.$

Mylo O'Moore 2021-01-08

Parametric to polar equations Find an equation of the following curve in polar coordinates and describe the curve. $x = (1 + c o s t) c o s t, y = (1 + c o s t) s i n t, 0 \leq t \leq 2 π$

avissidep 2020-12-30

Given $Undefined control sequence \sint$ , find the arc length of the curve r(t) on the interval $[- π / 3] .$

Ernstfalld 2020-12-22

The rectangular coordinates of a point are given (2, -2). Find polar coordinates of the point. Express theta in radians.

sagnuhh 2020-12-07

Equations of lines Find both the parametric and the vector equations of the following lines. The line through (0, 0, 1) in the direction of the vector $v = ⟨ 4, 7, 0 ⟩$

Lipossig 2020-11-30

Convert from polar to rectangular coordinates: $(2, (π / 2)) \Rightarrow (x, y)$

chillywilly12a 2020-11-26

Convert the point $(- \sqrt{3}, - \sqrt{3})$ in rectangular coordinates to polar coordinates that satisfies
$r > 0, - π < θ \leq π$

Harlen Pritchard 2020-11-23

Find the coordinates of the point on the helix for arc lengths $s = \sqrt{5} a n d s = 4$ . Consider the helix represented investigation by the vector-valued function $r (t) = < 2 \cos t, 2 \sin t, t >$ .

Yulia 2020-11-17

Write a short paragraph explaining this statement. Use the following example and your answers How long does it take the particle to go once around the circle? Find parametric equations if the particle moves twice as fast around the circle. The position of a particle is given by the parametric equations $x = \sin t, y = \cos t$ where 1 represents time. We know that the shape of the path of the particle is a circle.

sjeikdom0 2020-11-08

Given $w = 2 (\cos 150 \circ + i \sin 150 \circ) w = 2 (\cos 150) and z = - \sqrt{2} + i$
Find the polar form of z

Those college students that must deal with parametric equations and complex tasks like polar coordinates and vector-valued functions know how important it is to find a reliable parametric equations solver who would help find the answers to the majority of questions.

The equations presented below have all the solutions already provided, which is good when you need an example or a starting point to continue with your Integral Calculus assignment. Remember to take a look at the notes that can be met at some Integral Calculus solutions that we have below.

Integral Calculus

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