Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

Looking for something else?

Not the answer you are looking for? Search for more explanations.

- anonymous

Show that every point on the curve y=b sin (x/a), where the curve meets the axes of x, is a point of inflextion.
Do i have to plainly show that x=0 is a POI or its asking for something else?

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions.

Get your **free** account and access **expert** answers to this and **thousands** of other questions

- anonymous

- chestercat

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- amistre64

inflection tends to be a found by a second derivative; and tested for cavage

- anonymous

yeah i know that, but the language isnt very clear up there.

- amistre64

looks like: -b sin(x/a)/a^2 is the second derivative to me

Looking for something else?

Not the answer you are looking for? Search for more explanations.

- anonymous

yeah

- amistre64

since b=0 is trivial; it looks to be what x/a = any mutiple of pi

- anonymous

sorry didnt get that.

- amistre64

how to "show" it? i aint got a clue

- amistre64

sin(n*pi) = 0
so when x/a = n*pi we are at zero

- anonymous

yeah thats where i came, so is that the answer fianlly, x=0

- amistre64

x = a n*pi would seem to be the answer to me; but since n is an arbitrary integer then a*n would have to be an interger as well.

- amistre64

other than that; I got no idea what the "answer" might entail ....

- anonymous

umm, it says, where the curve meets the axes of x, so y=0 at that point, this only gives x=0.

- phi

inflection point is where the second derivative changes sign.
we know that
y=b sin (x/a)
crosses the x-axis when x/a is some multiple of 2pi
the 2nd derivative at these same points is -b sin(x/a)/a^2 = 0
also, if we go a dx distance below x/a and a little distance dx above x/a, the 2nd derivative changes sign. So we are at an inflection point.

- anonymous

That seems clear, understood, thank you phi and amistre for your time :)

- phi

*crosses the x-axis when x/a is some multiple of pi

Looking for something else?

Not the answer you are looking for? Search for more explanations.