dohtarjev510
2022-02-10
Answered

How do you name the curve given by the conic $r=\frac{4}{1+\mathrm{cos}\theta}$ ?

You can still ask an expert for help

s3au1d8wh

Answered 2022-02-11
Author has **11** answers

Convert to the General Cartesian Form:

Compute the determinant:

If

If

If

Given:

Substitute

Please observe that, for the the above equation, the coefficients of the General Cartesian Form are,

It is a parabola.

asked 2021-02-13

Solve the following integral. ${\int}_{1}^{e}{x}^{2}\mathrm{ln}xdx$

asked 2022-06-22

For $f\left(t\right)=(\frac{\mathrm{ln}t}{t},\frac{{t}^{2}}{{e}^{t}})$ what is the distance between f(2) and f(4)?

asked 2021-12-15

Evaluate the iterated integral by converting to polar coordinates.

${\int}_{0}^{2}{\int}_{0}^{\sqrt{2x-{x}^{2}}}xydydx$

asked 2022-06-12

$\frac{(b-a{)}^{5}{f}^{(4)}(c)}{2880{n}^{4}}$

for a $c\in [a,b]$, if the function has a continuous fourth derivative.

Is this for any $c$ in the interval, or just a unique one?

for a $c\in [a,b]$, if the function has a continuous fourth derivative.

Is this for any $c$ in the interval, or just a unique one?

asked 2022-05-02

Proving the double differential of z = -z implies $z=\mathrm{sin}x$

$\frac{{d}^{2}z}{{dx}^{2}}=-z$

implies z is of the form$a\mathrm{sin}x+b\mathrm{cos}x$ . Is there a proof for the same. I was trying to arrive at the desired function but couldn't understand how to get these trigonometric functions in the equations by integration. Does it require the use of taylor polynomial expansion of $\mathrm{sin}x\text{or}\mathrm{cos}x$ ?

implies z is of the form

asked 2022-06-16

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

asked 2022-03-24

Geometric meaning of $||z-{z}_{1}|-|z-{z}_{2}\mid \mid =a$ , where $z,{z}_{1},{z}_{2}\in \mathbb{C}$