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

sg101cp6vv 2022-05-15

For $f (t) = (\frac{\ln t}{e^{t}}, \frac{e^{t}}{t}) what is the distance between f (1)$ and $f (2)$

indimiamimactjcf 2022-05-15

What is the polar form of $(5, 114)$ ?

othereyeshmt4l 2022-05-15

What is the polar form of (3, 27)?

Oberhangaps5z 2022-05-15

How do you write the parametric equations represent the ellipse given by $\frac{x^{2}}{9} + \frac{y^{2}}{81} = 1$

enclinesbnnbk 2022-05-14

I'm integrating some parametric functions and I came across this one and it's confusing since it fundamentally doesn't make sense
$x = t^{5} - 4 t^{3}$
$y = t^{2}$
How would I approach this problem, if I were to, say integrate from $t = - 3$ to $t = 3$ ?

Jordon Haley 2022-05-14

Study of a parametric function
I would like to study this function for $x \geq 0$ , $\forall b, d \in R$ :
$y = \frac{b + d x}{1 - b - d x}$
Can I say that it is monotone increasing (decreasing) over x in its domain for $d > 0$ ( $d < 0$ )?

kazue72949lard 2022-05-12

What is the distance between the following polar coordinates?: $(5, \frac{3 π}{4}), (1, \frac{9 π}{8})$

adocidasiaqxm 2022-05-11

For $f (t) = (\sin^{2} t, \frac{t}{π} - 2)$ what is the distance between $f (\frac{π}{4})$ and $f (π)$ ?

Hailee Stout 2022-05-11

What is the distance between the following polar coordinates?:
$(4, \frac{7 π}{4}), (3, \frac{3 π}{8})$

Raphael Mccullough 2022-04-12

What is the distance between the following polar coordinates?: $(1, \frac{3 π}{4}), (5, \frac{5 π}{8})$

Angelique Horne 2022-04-10

Let $x = e^{t} + 3$ and $y = e^{2 t} + 6 e^{t} + 9$ how do you eliminate the parameter and write y in terms of x?

Find a vector function that represents the curve of intersection of the two surfaces of the cylinder x^2+y^2=4 and the surface z=xy.

Cristian zaragoza2022-03-17

Find the area of the described region.
region enclosed by one petal of
r = 8 cos(9𝜃)

Mary Buchanan 2021-12-25

What is $10 < 30 + 10 < 30$ ? Answer in polar form. Note that the angle is measured in degrees here and need to be in Phasors.

killjoy1990xb9 2021-12-16

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS where P(3,0,1), Q(-1,2,5), R(5,1,-1) and S(0,4,2).

Tried for more than 6 hours on this problem but I haven't been able to solve it.

Carole Yarbrough 2021-12-10

For what values of a and b is the following function continuous at every x?
$f (x) = {\begin{cases} 0 & x \leq - 1 \\ a x - b & - 1 < x < 3 \\ 10 & x \geq 3 \end{cases}$

sonkitty2h 2021-12-04

how to find
Find the exact length of the polar curve.
$= r = θ^{2}, 0 \leq θ \leq 7 \frac{π}{4}$

jazzcutie0h 2021-12-04

Find the exact length of the polar curve.
$r = θ^{2}, 0 \leq θ \leq 5 \frac{π}{4}$

kolonelyf4 2021-11-21

Find the parametric equation of the line through a parallel to b
$a = [\begin{matrix} 3 \\ - 4 \end{matrix}], b = [\begin{matrix} - 7 \\ 8 \end{matrix}]$

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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