Find the required information and graph:

$2{x}^{2}+2{y}^{2}+2x+14y+17=0$

ankarskogC
2021-02-25
Answered

Find the required information and graph:

$2{x}^{2}+2{y}^{2}+2x+14y+17=0$

You can still ask an expert for help

asked 2021-08-07

a)

To simplify:

The radical expression$\sqrt{20}$

To simplify:

The radical expression

asked 2022-04-13

Is there a parametrization of a hyperbola ${x}^{2}-{y}^{2}=1$ by functions x(t) and y(t) both birational?

Consider the hyperbola${x}^{2}-{y}^{2}=1$ . I am aware of some parametrizations like:

1.$(x\left(t\right),y\left(t\right))=(\frac{{t}^{2}+1}{2t},\frac{{t}^{2}-1}{2t})$

2.$(x\left(t\right),y\left(t\right))=(\frac{{t}^{2}+1}{{t}^{2}-1},\frac{2t}{{t}^{2}-1})$

3.$(x\left(t\right),y\left(t\right))=(\text{cosh}t,\text{sinh}t)$

4.$(x\left(t\right),y\left(t\right))=(\mathrm{sec}\left(t\right),\mathrm{tan}\left(t\right))$

The first and the second are by rational functions x(t) and y(t). But the functions are not birational(i.e. with rational inverse of each).

Is there a parametrization where:

- x(t) is rational with inverse also rational, and

- y(t) is rational with inverse also rational?

Is possible, to find a parametrization where both are rational and at least one of the has inverse rational?

Consider the hyperbola

1.

2.

3.

4.

The first and the second are by rational functions x(t) and y(t). But the functions are not birational(i.e. with rational inverse of each).

Is there a parametrization where:

- x(t) is rational with inverse also rational, and

- y(t) is rational with inverse also rational?

Is possible, to find a parametrization where both are rational and at least one of the has inverse rational?

asked 2021-08-14

What is an ellipse.

asked 2022-04-22

Formula for analytical finding ellipse and circle intersection points if exist

I need a formula that will give me all points of random ellipse and circle intersection (ok, not fully random, the center of circle is laying on ellipse curve)

I need step by step solution (algorithm how to find it) if this is possible.

I need a formula that will give me all points of random ellipse and circle intersection (ok, not fully random, the center of circle is laying on ellipse curve)

I need step by step solution (algorithm how to find it) if this is possible.

asked 2020-10-21

Determine whether the statement, 'I noticed that depending on the values for A and C, assuming that they are not both zero, the graph of $A{x}^{2}+C{y}^{2}+Dx+Ey+F=0$ can represent any of the conic sections', makes sense or does not make sense, and explain your reasoning.

asked 2021-08-07

To calculate: The value of expression $y=4{x}^{\frac{1}{3}}$ for x equal to 8

asked 2021-03-07

To calculate: The sections represented by the polar equation $r=\frac{18}{6-6\mathrm{cos}\theta}$ and graph it by the use of graphing utility.