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

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

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

Brennan Flores 2021-08-20

Graph the sets of points whose polar coordinates satisfy the equations and inequalities r = 2

slaggingV 2021-08-20

Give two pairs of parametric equations that generate a circle centered at the origin with radius 6.

BenoguigoliB 2021-08-20

Parametric equations and a value for the parameter t are given $x = t^{2} + 3, y = 6 - t^{3}$ .t=2
Find the coordinates of the point on the plane curve described by the parametric equations corresponding to the given value of t.

Tolnaio 2021-08-19

Graph the sets pf points whose polar coordinates satisfy the equations and inequalities $θ = \frac{π}{2}, r \geq 0$

e1s2kat26 2021-08-19

A curve is given by the following parametric equations. $x = 20 \cos t, y = 10 \sin t$ .
The parametric equations are used to represent the location of a car going around the racetrack.
a) What is the cartesian equation that represents the race track the car is traveling on?
b) What parametric equations would we use to make the car go 3 times faster on the same track?
c) What parametric equations would we use to make the car go half as fast on the same track?

aflacatn 2021-08-16

Is it true that the equations r=8, $x^{2} + y^{2} = 64$ , and $x = 8 \sin (3 t), y = 8 \cos (3 t) (0 \leq t \leq 2 π)$ all have the same graph.

Albarellak 2021-08-16

Let C be the curve described by the parametric equations x(t)= t, y(t) = $t^{3}$
a) sketch a graph of C
b) find the vector-valued function f(t) associated with this parameterization of the curve C.

amanf 2021-08-15

Graph the sets of points whose polar coordinates satisfy the equations and inequalities $r \geq 1$

sagnuhh 2021-08-12

If f and g Are The Functions Whose Graphs Are Shown, Let u(x) = f(x)g(x) and $v (x) = \frac{f (x)}{g (x)}$

coexpennan 2021-08-11

Find an equation of the following curve in polar coordinates and describe the curve. $x = (1 + \cos t) \cos t, y = (1 + \cos t) \sin t . 0 \leq t \leq 2 π$

Wotzdorfg 2021-08-11

Find parametric equations for the following curves. Include an interval for the parameter values.
Answers are not unique.
A circle centered at (-2, -3) with radius 8, generated clockwise

opatovaL 2021-08-09

The following data was collected about students in Mr. Rexingers

iohanetc 2021-06-11

What is the area of the parallelogram with vertices A(-3, 0), B(-1, 5), C(7, 4), and D(5, -1).

chillywilly12a 2021-06-09

Use the table of values of $f (x, y)$ to estimate the values of $f x (3, 2)$ , $f x (3, 2.2)$ , and $f x y (3, 2)$ .
$\begin{array}{cc} y & 1.8 & 2.0 & 2.2 \\ x \\ 2.5 & 12.5 & 10.2 & 9.3 \\ 3.0 & 18.1 & 17.5 & 15.9 \\ 3.5 & 20.0 & 22.4 & 26.1 \end{array}$

Dillard 2021-06-09

Determine whether the given vectors are orthogonal, parallel,or neither:
$u = (- 3, 9, 6)$
$v = (4, - 12, - 8)$

coexpennan 2021-06-09

Change from rectangular to cylindrical coordinates. (Let $r \geq 0$ and $0 \leq θ \leq 2 π$ .)
a) $(- 2, 2, 2)$
b) $(- 9, 9 \sqrt{3, 6})$
c) Use cylindrical coordinates.
Evaluate
$\int \int \int_{E} x d V$
where E is enclosed by the planes $z = 0$ and
$z = x + y + 10$
and by the cylinders
$x^{2} + y^{2} = 16$ and $x^{2} + y^{2} = 36$
d) Use cylindrical coordinates.
Find the volume of the solid that is enclosed by the cone
$z = \sqrt{x^{2} + y^{2}}$
and the sphere
$x^{2} + y^{2} + z^{2} = 8$ .

Emeli Hagan 2021-06-08

1) Find the area of the part of the plane
$4 x + 3 y + z = 12$
that lies in the first octant.
2) Use polar coordinates to find the volume of the given solid.
Bounded by the paraboloid $z = 5 + 2 x^{2} + 2 y^{2}$ and the plane z = 11 in the first octant

Jaden Easton 2021-06-07

Express as a trigonometric function of one angle.
a) $\cos 2 \sin (- 9) - \cos 9 \sin 2$
Find the exact value of the expression.
b) $\sin (\arcsin \frac{\sqrt{3}}{2} + \arccos 0)$

tabita57i 2021-06-06

Find the length of the curve.
$r (t) = ⟨ 6 t, t^{2}, \frac{1}{9} t^{3} ⟩, 0 \leq t \leq 1$

geduiwelh 2021-06-04

Find an equation of the plane tangent to the following surface at the given point.
$7 x y + y z + 4 x z - 48 = 0; (2, 2, 2)$

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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