banganX
2020-11-22
Answered

The equation is $16{x}^{2}+9{y}^{2}-98x+5y+224=0$

You can still ask an expert for help

hesgidiauE

Answered 2020-11-23
Author has **106** answers

All conic section can be written in the general form

The conic section represented by an equation in general form can be determine the coefficient.

If coefficient is

If coefficient is

If coefficient is

If coefficicent is

To find value of

Compare general equation with given equation

Here

Here

Therefore ,the given equation as an ellipse.

asked 2021-10-14

Use an appropriate substitution and then a trigonometric substitution to evaluate the integrals.

$\int \sqrt{x}\sqrt{1-x}dx$

asked 2021-11-20

Evaluate the integral.

${\int}_{2}^{3}[3{x}^{2}+2x+\frac{1}{{x}^{2}}]dx$

asked 2021-02-15

Determine whether the statement If $D\ne 0{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}E\ne 0$ ,

then the graph of${y}^{2}-{x}^{2}+Dx+Ey=0$ is a hyperbolais true or false. If it is false, explain why or give an example that shows it is false.

then the graph of

asked 2021-11-20

What is the integral of the functions:

a)${\int}_{-3}^{-2}(2{y}^{2}+12y+19)dy$

b)${\int}_{-3}^{-2}(\frac{-{y}^{2}}{2}-4y-10)dy$

a)

b)

asked 2022-03-27

Given: $y={x}^{1.65}$

Could it be described as parabolic in shape, or does the equation have to have$x}^{2$ as its highest degree term?

Could it be described as parabolic in shape, or does the equation have to have

asked 2022-04-01

I am trying to evaluate the integral

${\int}_{0}^{\frac{\pi}{2}}\frac{\mathrm{log}({e}^{ix}+{e}^{-ix})]-\mathrm{log}2}{{e}^{2ix}-1}{e}^{ix}dx$

I am wondering if a complex variable substitution the likes of $iu={e}^{ix}$, $du={e}^{ix}dx$ is justifiable? In my mind. when x=0,u=0 and when $x=\frac{\pi}{2},u=1$ which would make the integral

$-{\int}_{0}^{1}\frac{\mathrm{log}(iu-\frac{i}{u})-\mathrm{log}\left(2\right)}{1+{u}^{2}},du$

asked 2022-05-08

How can we use Euler's method to approximate the solutions for the following IVP below:

${y}^{\prime}=-y+t{y}^{1/2},\text{with}1\le t\le 2,\text{}y(1)=2,$

and with $h=0.5$

The main concern is the organization, i.e., set up of it for this particular example.

And, if the actual solution to the IVP above is:

$y(t)=(t-2+\sqrt{2}\mathrm{e}\cdot {\mathrm{e}}^{-t/2}{)}^{2}$

then, how to compare the actual error and compare the error bound?

${y}^{\prime}=-y+t{y}^{1/2},\text{with}1\le t\le 2,\text{}y(1)=2,$

and with $h=0.5$

The main concern is the organization, i.e., set up of it for this particular example.

And, if the actual solution to the IVP above is:

$y(t)=(t-2+\sqrt{2}\mathrm{e}\cdot {\mathrm{e}}^{-t/2}{)}^{2}$

then, how to compare the actual error and compare the error bound?